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  167697262820130239120400000*k^5*n^4*c[-2 + n, -2 + k] - 
  87568213604316207343200000*k^6*n^4*c[-2 + n, -2 + k] + 
  5496386344754896126800000*k^7*n^4*c[-2 + n, -2 + k] + 
  1747880442805353120000000*k^8*n^4*c[-2 + n, -2 + k] + 
  142090298422550016480000000*n^5*c[-2 + n, -2 + k] - 
  267594700997491995481200000*k*n^5*c[-2 + n, -2 + k] - 
  307140918712253413637400000*k^2*n^5*c[-2 + n, -2 + k] + 
  61558556837351056205400000*k^3*n^5*c[-2 + n, -2 + k] + 
  86943193821376066782000000*k^4*n^5*c[-2 + n, -2 + k] + 
  2712473001460910363400000*k^5*n^5*c[-2 + n, -2 + k] - 
  5827483593972081657000000*k^6*n^5*c[-2 + n, -2 + k] + 
  59810590993356966600000000*n^6*c[-2 + n, -2 + k] - 
  32928131240499944363400000*k*n^6*c[-2 + n, -2 + k] - 
  56349279203457308616000000*k^2*n^6*c[-2 + n, -2 + k] - 
  2565015963515851129200000*k^3*n^6*c[-2 + n, -2 + k] + 
  7373162529857958683400000*k^4*n^6*c[-2 + n, -2 + k] + 
  9393866849521236474000000*n^7*c[-2 + n, -2 + k] - 
  1655971304711724063000000*k*n^7*c[-2 + n, -2 + k] - 
  3570839433670314897000000*k^2*n^7*c[-2 + n, -2 + k] + 
  517404426600021597000000*n^8*c[-2 + n, -2 + k] - 
  240377787350592675840000000*c[-2 + n, -1 + k] - 
  998746436207824358400000000*k*c[-2 + n, -1 + k] - 
  1029513005979606368640000000*k^2*c[-2 + n, -1 + k] + 
  1216485630074848628160000000*k^3*c[-2 + n, -1 + k] + 
  2914494606111973806720000000*k^4*c[-2 + n, -1 + k] + 
  867095814816076530240000000*k^5*c[-2 + n, -1 + k] - 
  1605663537411538978560000000*k^6*c[-2 + n, -1 + k] - 
  1273551702159475200960000000*k^7*c[-2 + n, -1 + k] - 
  102430927826482331520000000*k^8*c[-2 + n, -1 + k] + 
  182658702289323211200000000*k^9*c[-2 + n, -1 + k] + 
  63496433992420218240000000*k^10*c[-2 + n, -1 + k] + 
  6052209650877519360000000*k^11*c[-2 + n, -1 + k] - 
  285753960604311252480000000*n*c[-2 + n, -1 + k] - 
  1475193589377629618880000000*k*n*c[-2 + n, -1 + k] - 
  1992343657481149608000000000*k^2*n*c[-2 + n, -1 + k] + 
  596750742143384778720000000*k^3*n*c[-2 + n, -1 + k] + 
  2845508784403158149760000000*k^4*n*c[-2 + n, -1 + k] + 
  1343320403919406627680000000*k^5*n*c[-2 + n, -1 + k] - 
  496260345825913916160000000*k^6*n*c[-2 + n, -1 + k] - 
  455912972367510918240000000*k^7*n*c[-2 + n, -1 + k] - 
  41320048806556744320000000*k^8*n*c[-2 + n, -1 + k] + 
  24694457361102493920000000*k^9*n*c[-2 + n, -1 + k] + 
  3853148794404275520000000*k^10*n*c[-2 + n, -1 + k] - 
  59174562625009920000000*k^11*n*c[-2 + n, -1 + k] - 
  98463922489977007680000000*n^2*c[-2 + n, -1 + k] - 
  721343646620453067120000000*k*n^2*c[-2 + n, -1 + k] - 
  1098740640798757365840000000*k^2*n^2*c[-2 + n, -1 + k] - 
  80995262658636201840000000*k^3*n^2*c[-2 + n, -1 + k] + 
  787198186681879068000000000*k^4*n^2*c[-2 + n, -1 + k] + 
  439062721879880359440000000*k^5*n^2*c[-2 + n, -1 + k] + 
  27433931892605781840000000*k^6*n^2*c[-2 + n, -1 + k] - 
  25440276151238045040000000*k^7*n^2*c[-2 + n, -1 + k] - 
  8022231783271859040000000*k^8*n^2*c[-2 + n, -1 + k] - 
  1800289894816733760000000*k^9*n^2*c[-2 + n, -1 + k] - 
  65112480118128960000000*k^10*n^2*c[-2 + n, -1 + k] + 
  19091363644128795120000000*n^3*c[-2 + n, -1 + k] - 
  120150367203503171160000000*k*n^3*c[-2 + n, -1 + k] - 
  240924792301616916720000000*k^2*n^3*c[-2 + n, -1 + k] - 
  74978158237681167000000000*k^3*n^3*c[-2 + n, -1 + k] + 
  52676204559303160800000000*k^4*n^3*c[-2 + n, -1 + k] + 
  46412447194357461000000000*k^5*n^3*c[-2 + n, -1 + k] + 
  27553956971868438480000000*k^6*n^3*c[-2 + n, -1 + k] + 
  6804677790612685800000000*k^7*n^3*c[-2 + n, -1 + k] - 
  355185636257857680000000*k^8*n^3*c[-2 + n, -1 + k] - 
  17156317013526240000000*k^9*n^3*c[-2 + n, -1 + k] + 
  22386110728211396280000000*n^4*c[-2 + n, -1 + k] + 
  12305344721450543460000000*k*n^4*c[-2 + n, -1 + k] - 
  13453343147088875700000000*k^2*n^4*c[-2 + n, -1 + k] - 
  7195116938340670920000000*k^3*n^4*c[-2 + n, -1 + k] - 
  5842396938906064440000000*k^4*n^4*c[-2 + n, -1 + k] + 
  465845495853838500000000*k^5*n^4*c[-2 + n, -1 + k] + 
  3137252932115790660000000*k^6*n^4*c[-2 + n, -1 + k] + 
  574287193414780560000000*k^7*n^4*c[-2 + n, -1 + k] - 
  1205736301123200000000*k^8*n^4*c[-2 + n, -1 + k] + 
  6136550431554941460000000*n^5*c[-2 + n, -1 + k] + 
  7216735367332631250000000*k*n^5*c[-2 + n, -1 + k] + 
  2652936110343074880000000*k^2*n^5*c[-2 + n, -1 + k] + 
  1022869000748490840000000*k^3*n^5*c[-2 + n, -1 + k] - 
  730127308909238820000000*k^4*n^5*c[-2 + n, -1 + k] - 
  154646251946997570000000*k^5*n^5*c[-2 + n, -1 + k] + 
  43037939009383560000000*k^6*n^5*c[-2 + n, -1 + k] + 
  714542400638211870000000*n^6*c[-2 + n, -1 + k] + 
  952234034223424590000000*k*n^6*c[-2 + n, -1 + k] + 
  384027292728482760000000*k^2*n^6*c[-2 + n, -1 + k] + 
  133069569291911430000000*k^3*n^6*c[-2 + n, -1 + k] - 
  24596895462500250000000*k^4*n^6*c[-2 + n, -1 + k] + 
  27427618936507860000000*n^7*c[-2 + n, -1 + k] + 
  43249755915065700000000*k*n^7*c[-2 + n, -1 + k] + 
  11230715976617340000000*k^2*n^7*c[-2 + n, -1 + k] - 
  453614482625850000000*n^8*c[-2 + n, -1 + k] - 
  1618968164696064000000000*k*c[-2 + n, k] - 4422528933605683200000000*k^2*
   c[-2 + n, k] - 2772557429242060800000000*k^3*c[-2 + n, k] + 
  2808016852213209600000000*k^4*c[-2 + n, k] + 4679116690564166400000000*k^5*
   c[-2 + n, k] + 2053461182812531200000000*k^6*c[-2 + n, k] - 
  140207269541760000000000*k^7*c[-2 + n, k] - 421095348418867200000000*k^8*
   c[-2 + n, k] - 144580659282835200000000*k^9*c[-2 + n, k] - 
  19799193987302400000000*k^10*c[-2 + n, k] - 857726815334400000000*k^11*
   c[-2 + n, k] - 1938020699037081600000000*k*n*c[-2 + n, k] - 
  4451211462520512000000000*k^2*n*c[-2 + n, k] - 
  2213378658274521600000000*k^3*n*c[-2 + n, k] + 
  2020289380132348800000000*k^4*n*c[-2 + n, k] + 
  2394913646079504000000000*k^5*n*c[-2 + n, k] + 
  562717987617081600000000*k^6*n*c[-2 + n, k] - 
  228643295583340800000000*k^7*n*c[-2 + n, k] - 
  136701051349507200000000*k^8*n*c[-2 + n, k] - 
  21448334369750400000000*k^9*n*c[-2 + n, k] - 714833316172800000000*k^10*n*
   c[-2 + n, k] - 913257923641689600000000*k*n^2*c[-2 + n, k] - 
  1799371533814473600000000*k^2*n^2*c[-2 + n, k] - 
  751977696792369600000000*k^3*n^2*c[-2 + n, k] + 
  458309525458766400000000*k^4*n^2*c[-2 + n, k] + 
  341394871973040000000000*k^5*n^2*c[-2 + n, k] - 
  23650717144291200000000*k^6*n^2*c[-2 + n, k] - 
  51708877702977600000000*k^7*n^2*c[-2 + n, k] - 
  7545146760907200000000*k^8*n^2*c[-2 + n, k] + 
  514312947878400000000*k^9*n^2*c[-2 + n, k] + 35769102336000000000*k^10*n^2*
   c[-2 + n, k] - 213179385138537600000000*k*n^3*c[-2 + n, k] - 
  369566935036804800000000*k^2*n^3*c[-2 + n, k] - 
  145047144476160000000000*k^3*n^3*c[-2 + n, k] + 
  16806880645423200000000*k^4*n^3*c[-2 + n, k] - 
  9182140952234400000000*k^5*n^3*c[-2 + n, k] - 
  16935040315087200000000*k^6*n^3*c[-2 + n, k] - 
  1965706629156000000000*k^7*n^3*c[-2 + n, k] + 
  789966214012800000000*k^8*n^3*c[-2 + n, k] + 80480480256000000000*k^9*n^3*
   c[-2 + n, k] - 24999775676150400000000*k*n^4*c[-2 + n, k] - 
  40007461277008800000000*k^2*n^4*c[-2 + n, k] - 
  16737550275862800000000*k^3*n^4*c[-2 + n, k] - 
  5706826824344400000000*k^4*n^4*c[-2 + n, k] - 
  4953679709446800000000*k^5*n^4*c[-2 + n, k] - 
  1289782393570800000000*k^6*n^4*c[-2 + n, k] + 
  147141080064000000000*k^7*n^4*c[-2 + n, k] + 40240240128000000000*k^8*n^4*
   c[-2 + n, k] - 1247241314844000000000*k*n^5*c[-2 + n, k] - 
  2107362862810800000000*k^2*n^5*c[-2 + n, k] - 
  975709712649600000000*k^3*n^5*c[-2 + n, k] - 475721525541600000000*k^4*n^5*
   c[-2 + n, k] - 242809973514000000000*k^5*n^5*c[-2 + n, k] - 
  31704431616000000000*k^6*n^5*c[-2 + n, k] - 10217975428800000000*k*n^6*
   c[-2 + n, k] - 40067313163200000000*k^2*n^6*c[-2 + n, k] - 
  14141807722800000000*k^3*n^6*c[-2 + n, k] + 1668677500800000000*k^4*n^6*
   c[-2 + n, k] - 33287817775067652946182856704*c[n, -31 + k] + 
  2182861335768041831404681728*k*c[n, -31 + k] + 
  44220018638918527237071810432*k^2*c[n, -31 + k] + 
  3489913797814987044792590592*k^3*c[n, -31 + k] - 
  16276731590369823772907023488*k^4*c[n, -31 + k] - 
  2171779007084502208840232064*k^5*c[n, -31 + k] + 
  1696172206381893867736374912*k^6*c[n, -31 + k] + 
  184170076611885318987494784*k^7*c[n, -31 + k] - 
  38847615718547943134045568*k^8*c[n, -31 + k] + 
  2086200671251802706838656*k^9*c[n, -31 + k] - 
  46650279425801641565184*k^10*c[n, -31 + k] + 382353365570005931904*k^11*
   c[n, -31 + k] - 53487642263877304886522036736*n*c[n, -31 + k] - 
  16408572809416188196394840832*k*n*c[n, -31 + k] + 
  54574824266762383035122351328*k^2*n*c[n, -31 + k] + 
  22978379196308275195182073632*k^3*n*c[n, -31 + k] - 
  8719800130849616579554509312*k^4*n*c[n, -31 + k] - 
  4161804303469304528308368288*k^5*n*c[n, -31 + k] - 
  221311782406708684009592256*k^6*n*c[n, -31 + k] + 
  16249082700917483122816800*k^7*n*c[n, -31 + k] + 
  5123552484180253566758400*k^8*n*c[n, -31 + k] - 
  451435873405340881170144*k^9*n*c[n, -31 + k] + 
  13080661859669816069856*k^10*n*c[n, -31 + k] - 
  129070816335873263808*k^11*n*c[n, -31 + k] - 34043588059662183379436021376*
   n^2*c[n, -31 + k] - 14517652146613697204639861760*k*n^2*c[n, -31 + k] + 
  26909528659262581750332124608*k^2*n^2*c[n, -31 + k] + 
  12150084581537460916379665536*k^3*n^2*c[n, -31 + k] - 
  3492852384497348530888131168*k^4*n^2*c[n, -31 + k] - 
  1585845889863543039801386016*k^5*n^2*c[n, -31 + k] + 
  10085122694878452698319792*k^6*n^2*c[n, -31 + k] + 
  23417821117329793405212960*k^7*n^2*c[n, -31 + k] - 
  1739666283391832067943776*k^8*n^2*c[n, -31 + k] + 
  46976945700244976051328*k^9*n^2*c[n, -31 + k] - 
  443253574219442622768*k^10*n^2*c[n, -31 + k] - 
  11152467960159717725439375072*n^3*c[n, -31 + k] - 
  4469138602298973058162609440*k*n^3*c[n, -31 + k] + 
  6676899077523953881462681296*k^2*n^3*c[n, -31 + k] + 
  2099685857670448985585615616*k^3*n^3*c[n, -31 + k] - 
  832757634129802295151091656*k^4*n^3*c[n, -31 + k] - 
  124503016220740184534875584*k^5*n^3*c[n, -31 + k] + 
  26980195953530333497048056*k^6*n^3*c[n, -31 + k] - 
  1540524357713028032316648*k^7*n^3*c[n, -31 + k] + 
  35839795398866174235168*k^8*n^3*c[n, -31 + k] - 
  297430311348439610616*k^9*n^3*c[n, -31 + k] - 
  1999978630648236166111462656*n^4*c[n, -31 + k] - 
  561873373788448193928935328*k*n^4*c[n, -31 + k] + 
  834180722766099543567412008*k^2*n^4*c[n, -31 + k] + 
  85626493582887895976277120*k^3*n^4*c[n, -31 + k] - 
  69673688650571238898931952*k^4*n^4*c[n, -31 + k] + 
  7731113732983405489950720*k^5*n^4*c[n, -31 + k] - 
  325194505053552646213320*k^6*n^4*c[n, -31 + k] + 
  5536907201918776753872*k^7*n^4*c[n, -31 + k] - 
  28194348654589765824*k^8*n^4*c[n, -31 + k] - 187048310779160374907096784*
   n^5*c[n, -31 + k] - 17781089150310568535722608*k*n^5*c[n, -31 + k] + 
  41541262537198491732116862*k^2*n^5*c[n, -31 + k] - 
  5356438078784220334773522*k^3*n^5*c[n, -31 + k] + 
  251785360334071769780970*k^4*n^5*c[n, -31 + k] - 
  4929172802470054747926*k^5*n^5*c[n, -31 + k] + 
  32653070525324188368*k^6*n^5*c[n, -31 + k] - 7135522058631596861801304*n^6*
   c[n, -31 + k] + 1002649434746264437934016*k*n^6*c[n, -31 + k] - 
  56317379586532078284900*k^2*n^6*c[n, -31 + k] + 
  1450250943688875161412*k^3*n^6*c[n, -31 + k] - 
  14109083062843783104*k^4*n^6*c[n, -31 + k] + 2151874664129744731242*n^7*
   c[n, -31 + k] - 138061889269216347942*k*n^7*c[n, -31 + k] + 
  2214405726551469360*k^2*n^7*c[n, -31 + k] + 3344876562970894005276474212352*
   c[n, -30 + k] + 2318406418136692187065958547456*k*c[n, -30 + k] - 
  3687002744657709841331680267776*k^2*c[n, -30 + k] - 
  2906024723423748494921469474432*k^3*c[n, -30 + k] + 
  352122028961857999818989120640*k^4*c[n, -30 + k] + 
  529960198090048039314138874752*k^5*c[n, -30 + k] + 
  56046039631313715871445646720*k^6*c[n, -30 + k] - 
  8374321297391089257809289216*k^7*c[n, -30 + k] - 
  37366669471138607843637120*k^8*c[n, -30 + k] + 
  28940223160059378712599168*k^9*c[n, -30 + k] - 
  1043263014516064114920576*k^10*c[n, -30 + k] + 
  11297369073457198588032*k^11*c[n, -30 + k] + 
  4550854829701374817372162510848*n*c[n, -30 + k] + 
  2971391213222630732987432250624*k*n*c[n, -30 + k] - 
  4149130989370552433547849038016*k^2*n*c[n, -30 + k] - 
  2852359012889313744300966046944*k^3*n*c[n, -30 + k] + 
  428686566002966666461747260672*k^4*n*c[n, -30 + k] + 
  431536397440184686310483716704*k^5*n*c[n, -30 + k] + 
  34518573886934734725160575936*k^6*n*c[n, -30 + k] - 
  4926192256551547047614486400*k^7*n*c[n, -30 + k] - 
  155171661785103609471193632*k^8*n*c[n, -30 + k] + 
  27352769012028499321027584*k^9*n*c[n, -30 + k] - 
  899067499289106296361696*k^10*n*c[n, -30 + k] + 
  9378240837480527316480*k^11*n*c[n, -30 + k] + 
  2558661000349101254226229563648*n^2*c[n, -30 + k] + 
  1448984932994432849384287408896*k*n^2*c[n, -30 + k] - 
  1886104940372604324161574710832*k^2*n^2*c[n, -30 + k] - 
  973517187237955611837148223712*k^3*n^2*c[n, -30 + k] + 
  235661213820676234279379122944*k^4*n^2*c[n, -30 + k] + 
  108907655613468680338071159456*k^5*n^2*c[n, -30 + k] - 
  2785774724771869927179596448*k^6*n^2*c[n, -30 + k] - 
  1303050823293602724805633680*k^7*n^2*c[n, -30 + k] + 
  104106829446111443373815472*k^8*n^2*c[n, -30 + k] - 
  2903453552085710381716464*k^9*n^2*c[n, -30 + k] + 
  28050022616801080835808*k^10*n^2*c[n, -30 + k] + 
  761120799822469987262716735296*n^3*c[n, -30 + k] + 
  334179067862128394447299762848*k*n^3*c[n, -30 + k] - 
  433662607325238667106287490208*k^2*n^3*c[n, -30 + k] - 
  132972429451279657138484379696*k^3*n^3*c[n, -30 + k] + 
  52739856551382922038229064136*k^4*n^3*c[n, -30 + k] + 
  6360920168668707177390809304*k^5*n^3*c[n, -30 + k] - 
  1524797446026651472278459504*k^6*n^3*c[n, -30 + k] + 
  89573570921978314655584608*k^7*n^3*c[n, -30 + k] - 
  2115649931073208141788792*k^8*n^3*c[n, -30 + k] + 
  17646653095079935925592*k^9*n^3*c[n, -30 + k] + 
  126338215916296840938289229808*n^4*c[n, -30 + k] + 
  34835304896986101442870463712*k*n^4*c[n, -30 + k] - 
  50358729022252644114224110872*k^2*n^4*c[n, -30 + k] - 
  4273902709103795709496998384*k^3*n^4*c[n, -30 + k] + 
  3924744565532603697209847924*k^4*n^4*c[n, -30 + k] - 
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  3063243395762965285200000*k^4*n^6*c[n, -3 + k] - 
  7553534997474455371200000*n^7*c[n, -3 + k] + 112576565154112322400000*k*n^7*
   c[n, -3 + k] + 1736062423004980299600000*k^2*n^7*c[n, -3 + k] - 
  284911948346207036400000*n^8*c[n, -3 + k] + 29049243794624987136000000*
   c[n, -2 + k] - 71358131425989823488000000*k*c[n, -2 + k] - 
  247159571405793668352000000*k^2*c[n, -2 + k] + 
  134779580924896174464000000*k^3*c[n, -2 + k] + 
  503911994258519940672000000*k^4*c[n, -2 + k] + 
  4776687799863656544000000*k^5*c[n, -2 + k] - 354541640273742170016000000*
   k^6*c[n, -2 + k] - 89989597155494503872000000*k^7*c[n, -2 + k] + 
  72569782053423148032000000*k^8*c[n, -2 + k] + 
  23073775599378062304000000*k^9*c[n, -2 + k] - 
  3826806690199930272000000*k^10*c[n, -2 + k] - 
  1285317479485873152000000*k^11*c[n, -2 + k] + 
  108098984875798987776000000*n*c[n, -2 + k] - 95084240803484771328000000*k*n*
   c[n, -2 + k] - 389444898048699760512000000*k^2*n*c[n, -2 + k] + 
  170657318503013107488000000*k^3*n*c[n, -2 + k] + 
  515765670665244935280000000*k^4*n*c[n, -2 + k] - 
  2222631991405600560000000*k^5*n*c[n, -2 + k] - 
  232074381102068449584000000*k^6*n*c[n, -2 + k] - 
  36523474750992199968000000*k^7*n*c[n, -2 + k] + 
  31891011692116639536000000*k^8*n*c[n, -2 + k] + 
  5206125548267916336000000*k^9*n*c[n, -2 + k] - 
  756103097055013488000000*k^10*n*c[n, -2 + k] + 
  37423345582212480000000*k^11*n*c[n, -2 + k] + 
  155158400567796164352000000*n^2*c[n, -2 + k] - 
  27202926806909386176000000*k*n^2*c[n, -2 + k] - 
  262061581593075155472000000*k^2*n^2*c[n, -2 + k] + 
  20434961894971932408000000*k^3*n^2*c[n, -2 + k] + 
  192869799642163022808000000*k^4*n^2*c[n, -2 + k] + 
  39555499432096380888000000*k^5*n^2*c[n, -2 + k] - 
  36935793123177951144000000*k^6*n^2*c[n, -2 + k] - 
  8710081581749340528000000*k^7*n^2*c[n, -2 + k] + 
  1152621587805264000000000*k^8*n^2*c[n, -2 + k] - 
  76566982603906080000000*k^9*n^2*c[n, -2 + k] + 
  38744025563437920000000*k^10*n^2*c[n, -2 + k] + 
  114407767292589706176000000*n^3*c[n, -2 + k] + 
  13416241400807897376000000*k*n^3*c[n, -2 + k] - 
  105039513544587230664000000*k^2*n^3*c[n, -2 + k] - 
  36555484591942720452000000*k^3*n^3*c[n, -2 + k] + 
  34500087993175281036000000*k^4*n^3*c[n, -2 + k] + 
  26050300979100819156000000*k^5*n^3*c[n, -2 + k] + 
  1132715475592367040000000*k^6*n^3*c[n, -2 + k] - 
  2798781331408403544000000*k^7*n^3*c[n, -2 + k] - 
  556530642039055068000000*k^8*n^3*c[n, -2 + k] + 
  8374114577038320000000*k^9*n^3*c[n, -2 + k] + 
  48247200113977818000000000*n^4*c[n, -2 + k] + 
  10793594281159242864000000*k*n^4*c[n, -2 + k] - 
  28643682482348966604000000*k^2*n^4*c[n, -2 + k] - 
  17104987196786618586000000*k^3*n^4*c[n, -2 + k] + 
  4212062948509156674000000*k^4*n^4*c[n, -2 + k] + 
  5681607276216276342000000*k^5*n^4*c[n, -2 + k] + 
  283721600234929662000000*k^6*n^4*c[n, -2 + k] - 
  357539948445231288000000*k^7*n^4*c[n, -2 + k] + 
  275045470840800000000*k^8*n^4*c[n, -2 + k] + 12114593374479215184000000*n^5*
   c[n, -2 + k] + 2893128005983598496000000*k*n^5*c[n, -2 + k] - 
  5338174031513804214000000*k^2*n^5*c[n, -2 + k] - 
  2950943154581164149000000*k^3*n^5*c[n, -2 + k] + 
  590910514742869506000000*k^4*n^5*c[n, -2 + k] + 
  418912690945781547000000*k^5*n^5*c[n, -2 + k] - 
  24396669202709430000000*k^6*n^5*c[n, -2 + k] + 
  1792628936874437328000000*n^6*c[n, -2 + k] + 358083399051069552000000*k*n^6*
   c[n, -2 + k] - 601473027822738552000000*k^2*n^6*c[n, -2 + k] - 
  185539928001962841000000*k^3*n^6*c[n, -2 + k] + 
  51397049956700439000000*k^4*n^6*c[n, -2 + k] + 
  144401094246475584000000*n^7*c[n, -2 + k] + 17238068870218182000000*k*n^7*
   c[n, -2 + k] - 29934594632593728000000*k^2*n^7*c[n, -2 + k] + 
  4885933942481319000000*n^8*c[n, -2 + k] - 157977605018419200000000*
   c[n, -1 + k] - 760409666446694400000000*k*c[n, -1 + k] - 
  1013732821926374400000000*k^2*c[n, -1 + k] + 63532687258944000000000*k^3*
   c[n, -1 + k] + 1147037516613792000000000*k^4*c[n, -1 + k] + 
  852632012527488000000000*k^5*c[n, -1 + k] + 83316764824934400000000*k^6*
   c[n, -1 + k] - 152722192473216000000000*k^7*c[n, -1 + k] - 
  61963434822355200000000*k^8*c[n, -1 + k] - 2506058632972800000000*k^9*
   c[n, -1 + k] + 2457828580838400000000*k^10*c[n, -1 + k] + 
  334969514035200000000*k^11*c[n, -1 + k] + 1263344777625600000000*n*
   c[n, -1 + k] - 545221511831289600000000*k*n*c[n, -1 + k] - 
  1111027727711030400000000*k^2*n*c[n, -1 + k] - 
  348121306766160000000000*k^3*n*c[n, -1 + k] + 
  633910274995089600000000*k^4*n*c[n, -1 + k] + 
  548480827171036800000000*k^5*n*c[n, -1 + k] + 
  100260504048643200000000*k^6*n*c[n, -1 + k] - 
  44055312766848000000000*k^7*n*c[n, -1 + k] - 21625961271422400000000*k^8*n*
   c[n, -1 + k] - 3367440045446400000000*k^9*n*c[n, -1 + k] - 
  323484509779200000000*k^10*n*c[n, -1 + k] - 32314132224000000000*k^11*n*
   c[n, -1 + k] + 240419321240774400000000*n^2*c[n, -1 + k] + 
  96075046521936000000000*k*n^2*c[n, -1 + k] - 538700779547820000000000*k^2*
   n^2*c[n, -1 + k] - 449806966156922400000000*k^3*n^2*c[n, -1 + k] + 
  47966286742380000000000*k^4*n^2*c[n, -1 + k] + 
  157559495102798400000000*k^5*n^2*c[n, -1 + k] + 
  54641821527338400000000*k^6*n^2*c[n, -1 + k] + 
  2679155472074400000000*k^7*n^2*c[n, -1 + k] - 
  2395676628496800000000*k^8*n^2*c[n, -1 + k] - 
  538124566478400000000*k^9*n^2*c[n, -1 + k] - 28930293849600000000*k^10*n^2*
   c[n, -1 + k] + 217949522943312000000000*n^3*c[n, -1 + k] + 
  218114643860773200000000*k*n^3*c[n, -1 + k] - 
  163482787516870800000000*k^2*n^3*c[n, -1 + k] - 
  213507577965837600000000*k^3*n^3*c[n, -1 + k] - 
  27020622576661200000000*k^4*n^3*c[n, -1 + k] + 
  33679545847660800000000*k^5*n^3*c[n, -1 + k] + 
  13997881485496800000000*k^6*n^3*c[n, -1 + k] + 
  1385349792433200000000*k^7*n^3*c[n, -1 + k] - 
  209978753133600000000*k^8*n^3*c[n, -1 + k] - 23641141075200000000*k^9*n^3*
   c[n, -1 + k] + 91628379908629200000000*n^4*c[n, -1 + k] + 
  91592182944999000000000*k*n^4*c[n, -1 + k] - 37229018719374000000000*k^2*
   n^4*c[n, -1 + k] - 49791033429355800000000*k^3*n^4*c[n, -1 + k] - 
  4623454650126600000000*k^4*n^4*c[n, -1 + k] + 
  5174299014037200000000*k^5*n^4*c[n, -1 + k] + 
  1380724056340200000000*k^6*n^4*c[n, -1 + k] + 
  38482587594000000000*k^7*n^4*c[n, -1 + k] - 15090090048000000000*k^8*n^4*
   c[n, -1 + k] + 21685502730313800000000*n^5*c[n, -1 + k] + 
  18268067488436100000000*k*n^5*c[n, -1 + k] - 6391744634052900000000*k^2*n^5*
   c[n, -1 + k] - 5798460049974900000000*k^3*n^5*c[n, -1 + k] + 
  64891708499700000000*k^4*n^5*c[n, -1 + k] + 343788088525200000000*k^5*n^5*
   c[n, -1 + k] + 24128771653800000000*k^6*n^5*c[n, -1 + k] + 
  2977922812842900000000*n^6*c[n, -1 + k] + 1820925812745450000000*k*n^6*
   c[n, -1 + k] - 690419530851750000000*k^2*n^6*c[n, -1 + k] - 
  271988486942850000000*k^3*n^6*c[n, -1 + k] + 34810648601850000000*k^4*n^6*
   c[n, -1 + k] + 222283286760150000000*n^7*c[n, -1 + k] + 
  73120726510650000000*k*n^7*c[n, -1 + k] - 32921745777900000000*k^2*n^7*
   c[n, -1 + k] + 6995974945050000000*n^8*c[n, -1 + k] - 
  59313120362496000000000*k*c[n, k] - 120814418571264000000000*k^2*c[n, k] - 
  24850425777408000000000*k^3*c[n, k] + 109181221826688000000000*k^4*
   c[n, k] + 98672309239680000000000*k^5*c[n, k] + 
  19986550467840000000000*k^6*c[n, k] - 12717632074752000000000*k^7*c[n, k] - 
  8211225737088000000000*k^8*c[n, k] - 1791131025024000000000*k^9*c[n, k] - 
  142127986176000000000*k^10*c[n, k] - 67427475895296000000000*k*n*c[n, k] - 
  126569520266112000000000*k^2*n*c[n, k] - 28721606367168000000000*k^3*n*
   c[n, k] + 75140574753024000000000*k^4*n*c[n, k] + 
  52309051020864000000000*k^5*n*c[n, k] + 1663701773184000000000*k^6*n*
   c[n, k] - 8567462477376000000000*k^7*n*c[n, k] - 
  2899380946176000000000*k^8*n*c[n, k] - 297695559744000000000*k^9*n*
   c[n, k] - 31319375117184000000000*k*n^2*c[n, k] - 
  54560832923520000000000*k^2*n^2*c[n, k] - 14260464209376000000000*k^3*n^2*
   c[n, k] + 18051622307136000000000*k^4*n^2*c[n, k] + 
  8506303581600000000000*k^5*n^2*c[n, k] - 1985626288800000000000*k^6*n^2*
   c[n, k] - 1675886832576000000000*k^7*n^2*c[n, k] - 
  244284400800000000000*k^8*n^2*c[n, k] - 7573479756480000000000*k*n^3*
   c[n, k] - 12463402317696000000000*k^2*n^3*c[n, k] - 
  3899780449488000000000*k^3*n^3*c[n, k] + 1486978438176000000000*k^4*n^3*
   c[n, k] + 210800905920000000000*k^5*n^3*c[n, k] - 
  408902795136000000000*k^6*n^3*c[n, k] - 98688742416000000000*k^7*n^3*
   c[n, k] - 998867938464000000000*k*n^4*c[n, k] - 
  1611064315872000000000*k^2*n^4*c[n, k] - 610225435512000000000*k^3*n^4*
   c[n, k] - 42099814152000000000*k^4*n^4*c[n, k] - 
  48409291656000000000*k^5*n^4*c[n, k] - 20480975064000000000*k^6*n^4*
   c[n, k] - 67412332944000000000*k*n^5*c[n, k] - 
  114061935240000000000*k^2*n^5*c[n, k] - 50187136032000000000*k^3*n^5*
   c[n, k] - 9456133104000000000*k^4*n^5*c[n, k] - 
  2225753640000000000*k^5*n^5*c[n, k] - 1785221856000000000*k*n^6*c[n, k] - 
  3549658464000000000*k^2*n^6*c[n, k] - 1614898296000000000*k^3*n^6*c[n, k] - 
  143187264000000000*k^4*n^6*c[n, k] + 15465318370785619887675801600*
   c[2 + n, -30 + k] + 7726693385299357687514112000*k*c[2 + n, -30 + k] - 
  17956804442908675247132765184*k^2*c[2 + n, -30 + k] - 
  10425744669054656275910178048*k^3*c[2 + n, -30 + k] + 
  3158778271937402970678130560*k^4*c[2 + n, -30 + k] + 
  2089687852242076839864096384*k^5*c[2 + n, -30 + k] - 
  10185216633704961232728192*k^6*c[2 + n, -30 + k] - 
  52010289499625957499797376*k^7*c[2 + n, -30 + k] + 
  4395125175492907992818304*k^8*c[2 + n, -30 + k] - 
  129606119784366544513152*k^9*c[2 + n, -30 + k] + 
  1216465748591924806272*k^10*c[2 + n, -30 + k] + 
  2310747922670216832*k^11*c[2 + n, -30 + k] + 19870130178835472855305543680*
   n*c[2 + n, -30 + k] + 9893179669219958675911532544*k*n*c[2 + n, -30 + k] - 
  18657612827942348959318160640*k^2*n*c[2 + n, -30 + k] - 
  9879730980472571685120729792*k^3*n*c[2 + n, -30 + k] + 
  2706596825364954925040777184*k^4*n*c[2 + n, -30 + k] + 
  1544745850870110187332644928*k^5*n*c[2 + n, -30 + k] + 
  35229496805020151315432352*k^6*n*c[2 + n, -30 + k] - 
  17328574507868862425449344*k^7*n*c[2 + n, -30 + k] + 
  148400815005152030765088*k^8*n*c[2 + n, -30 + k] + 
  56961089247600478237248*k^9*n*c[2 + n, -30 + k] - 
  2345191020886355918496*k^10*n*c[2 + n, -30 + k] + 
  27103373648541862848*k^11*n*c[2 + n, -30 + k] + 
  10604665514217671824191114240*n^2*c[2 + n, -30 + k] + 
  4808267647397101378616355072*k*n^2*c[2 + n, -30 + k] - 
  7877315890752104212071408576*k^2*n^2*c[2 + n, -30 + k] - 
  3284180527155959861102577024*k^3*n^2*c[2 + n, -30 + k] + 
  1076861454735206952162258480*k^4*n^2*c[2 + n, -30 + k] + 
  364349196264550590301521456*k^5*n^2*c[2 + n, -30 + k] - 
  19078701505241755833148176*k^6*n^2*c[2 + n, -30 + k] - 
  3729550966354355178849984*k^7*n^2*c[2 + n, -30 + k] + 
  343879823320209188833968*k^8*n^2*c[2 + n, -30 + k] - 
  10140968129205431290608*k^9*n^2*c[2 + n, -30 + k] + 
  101319990171769374192*k^10*n^2*c[2 + n, -30 + k] + 
  3008183675577768448641849600*n^3*c[2 + n, -30 + k] + 
  1101812340474374198896255680*k*n^3*c[2 + n, -30 + k] - 
  1694156751714534538404225600*k^2*n^3*c[2 + n, -30 + k] - 
  436238911060380380864077920*k^3*n^3*c[2 + n, -30 + k] + 
  202376658491688686829100776*k^4*n^3*c[2 + n, -30 + k] + 
  19289084147773153864898256*k^5*n^3*c[2 + n, -30 + k] - 
  5353032982948570863158328*k^6*n^3*c[2 + n, -30 + k] + 
  327038042776966431905592*k^7*n^3*c[2 + n, -30 + k] - 
  7924828457686589376048*k^8*n^3*c[2 + n, -30 + k] + 
  67577924659734372312*k^9*n^3*c[2 + n, -30 + k] + 
  478121880362546103247471680*n^4*c[2 + n, -30 + k] + 
  113212120620542140807818624*k*n^4*c[2 + n, -30 + k] - 
  185591459853306012638493216*k^2*n^4*c[2 + n, -30 + k] - 
  12736814107731773547619008*k^3*n^4*c[2 + n, -30 + k] + 
  13777807287568956684616908*k^4*n^4*c[2 + n, -30 + k] - 
  1596085345103995489027788*k^5*n^4*c[2 + n, -30 + k] + 
  68347052769074976824292*k^6*n^4*c[2 + n, -30 + k] - 
  1145666822642896968612*k^7*n^4*c[2 + n, -30 + k] + 
  5125184781159104640*k^8*n^4*c[2 + n, -30 + k] + 
  40334929541901465872076000*n^5*c[2 + n, -30 + k] + 
  2645730792766150277459040*k*n^5*c[2 + n, -30 + k] - 
  8198508948799755468089088*k^2*n^5*c[2 + n, -30 + k] + 
  1103423930175399408841716*k^3*n^5*c[2 + n, -30 + k] - 
  53365493291345212339440*k^4*n^5*c[2 + n, -30 + k] + 
  1055987674776137454588*k^5*n^5*c[2 + n, -30 + k] - 
  6814740528410710896*k^6*n^5*c[2 + n, -30 + k] + 
  1406057124665357085835440*n^6*c[2 + n, -30 + k] - 
  206593608190422630243888*k*n^6*c[2 + n, -30 + k] + 
  12270489405636195652068*k^2*n^6*c[2 + n, -30 + k] - 
  333075484860665332140*k^3*n^6*c[2 + n, -30 + k] + 
  3384381169398407040*k^4*n^6*c[2 + n, -30 + k] - 
  545239178841467677320*n^7*c[2 + n, -30 + k] + 
  35844651192564547164*k*n^7*c[2 + n, -30 + k] - 
  589000396594965264*k^2*n^7*c[2 + n, -30 + k] - 
  947308157083742509079736606720*c[2 + n, -29 + k] - 
  803391686305891298029657124352*k*c[2 + n, -29 + k] + 
  1003059371578647921071841189504*k^2*c[2 + n, -29 + k] + 
  971203471921418775742275088320*k^3*c[2 + n, -29 + k] - 
  28024758769263762747303227520*k^4*c[2 + n, -29 + k] - 
  169105970967389123067262452384*k^5*c[2 + n, -29 + k] - 
  28635692822167741245130670784*k^6*c[2 + n, -29 + k] + 
  1978089457938912475604171424*k^7*c[2 + n, -29 + k] + 
  249175964443566861233614080*k^8*c[2 + n, -29 + k] - 
  24568393354923846028389984*k^9*c[2 + n, -29 + k] + 
  732808777493287878989760*k^10*c[2 + n, -29 + k] - 
  7389417311423714581344*k^11*c[2 + n, -29 + k] - 
  1101191288500341471371611322880*n*c[2 + n, -29 + k] - 
  769357495074583024546734195840*k*n*c[2 + n, -29 + k] + 
  960881706794228851961078405184*k^2*n*c[2 + n, -29 + k] + 
  665609669879410936941602739840*k^3*n*c[2 + n, -29 + k] - 
  108119543406039134184258778320*k^4*n*c[2 + n, -29 + k] - 
  94553545943547941009068726920*k^5*n*c[2 + n, -29 + k] - 
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   c[2 + n, -2 + k] - 79706514602880000000*k^10*c[2 + n, -2 + k] - 
  20968620076800000000*k^11*c[2 + n, -2 + k] + 54967245466705920000000*n*
   c[2 + n, -2 + k] - 42578915859471360000000*k*n*c[2 + n, -2 + k] + 
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   c[2 + n, -2 + k] + 209406874534380000000*k^2*n^5*c[2 + n, -2 + k] + 
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  30344721198840000000*n^6*c[2 + n, -2 + k] - 90405476280720000000*k*n^6*
   c[2 + n, -2 + k] + 16451050756050000000*k^2*n^6*c[2 + n, -2 + k] + 
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   c[2 + n, -2 + k] + 457021260990000000*k^2*n^7*c[2 + n, -2 + k] - 
  212233718970000000*n^8*c[2 + n, -2 + k] - 3489360831375892805541888000*
   c[4 + n, -29 + k] - 1979534584596763246369738752*k*c[4 + n, -29 + k] + 
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  8393627524008190464*k^11*c[4 + n, -29 + k] - 4147412569712443703769108480*n*
   c[4 + n, -29 + k] - 2077231394757537438419865600*k*n*c[4 + n, -29 + k] + 
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   c[4 + n, -29 + k] + 107068828072883040*k^2*n^7*c[4 + n, -29 + k] + 
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  1528774679137830696*n^8*c[4 + n, -28 + k] + 7083865200105602116821883404288*
   c[4 + n, -27 + k] + 4681621097499758706533308723200*k*c[4 + n, -27 + k] - 
  7956301793468098589993726945280*k^2*c[4 + n, -27 + k] - 
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  1275128138196358200000*k^2*n^7*c[6 + n, -7 + k] + 
  257812851607543440000*n^8*c[6 + n, -7 + k] - 327553790632940519424000000*
   c[6 + n, -6 + k] + 264920033856658101657600000*k*c[6 + n, -6 + k] + 
  591457670087541812736000000*k^2*c[6 + n, -6 + k] - 
  397482686906258049139200000*k^3*c[6 + n, -6 + k] - 
  342685304738626265548800000*k^4*c[6 + n, -6 + k] + 
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  21450465134755868649600000*k^7*c[6 + n, -6 + k] - 
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  533942703330276308496000000*k^3*n*c[6 + n, -6 + k] - 
  183935132004789562051200000*k^4*n*c[6 + n, -6 + k] + 
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  1250175272773525358400000*k^8*n*c[6 + n, -6 + k] + 
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  2259897567615190224000000*k^6*n^3*c[6 + n, -6 + k] - 
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  1909913197984981200000*k^9*n^3*c[6 + n, -6 + k] + 
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  691303991572447430400000*n^5*c[6 + n, -6 + k] + 
  838134027668184984000000*k*n^5*c[6 + n, -6 + k] - 
  932418864569375924400000*k^2*n^5*c[6 + n, -6 + k] - 
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  14306547853695576600000*k^5*n^5*c[6 + n, -6 + k] - 
  449122637723423400000*k^6*n^5*c[6 + n, -6 + k] + 
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  1157583554495451000000*k*n^7*c[6 + n, -6 + k] - 
  557883148607472600000*k^2*n^7*c[6 + n, -6 + k] + 
  91234804129092000000*n^8*c[6 + n, -6 + k] - 902120802632663040000000*
   c[6 + n, -5 + k] - 2998115339877826560000000*k*c[6 + n, -5 + k] + 
  737652278076288000000000*k^2*c[6 + n, -5 + k] + 
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  30640069055942640000000*k^3*n^4*c[6 + n, -5 + k] - 
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  119321478658800000000*k^7*n^4*c[6 + n, -5 + k] - 
  19309108086313920000000*n^5*c[6 + n, -5 + k] - 
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  1699119731376720000000*n^6*c[6 + n, -5 + k] - 
  19630746572760000000*k*n^6*c[6 + n, -5 + k] + 
  598616059462560000000*k^2*n^6*c[6 + n, -5 + k] - 
  57528790668360000000*k^3*n^6*c[6 + n, -5 + k] - 
  13479902899920000000*k^4*n^6*c[6 + n, -5 + k] - 
  80936069884920000000*n^7*c[6 + n, -5 + k] + 8274674005200000000*k*n^7*
   c[6 + n, -5 + k] + 8784968085720000000*k^2*n^7*c[6 + n, -5 + k] - 
  1584682529040000000*n^8*c[6 + n, -5 + k] - 5131323703296000000000*
   c[6 + n, -4 + k] - 15402226669977600000000*k*c[6 + n, -4 + k] + 
  357782679244800000000*k^2*c[6 + n, -4 + k] + 20261028359347200000000*k^3*
   c[6 + n, -4 + k] + 7757132996505600000000*k^4*c[6 + n, -4 + k] - 
  5603858643283200000000*k^5*c[6 + n, -4 + k] - 
  2956331856960000000000*k^6*c[6 + n, -4 + k] + 
  371966843347200000000*k^7*c[6 + n, -4 + k] + 342803299046400000000*k^8*
   c[6 + n, -4 + k] + 15984219628800000000*k^9*c[6 + n, -4 + k] - 
  11631424780800000000*k^10*c[6 + n, -4 + k] - 1326098822400000000*k^11*
   c[6 + n, -4 + k] - 7694048349388800000000*n*c[6 + n, -4 + k] - 
  19598691039436800000000*k*n*c[6 + n, -4 + k] + 
  3058063879219200000000*k^2*n*c[6 + n, -4 + k] + 
  21196849135910400000000*k^3*n*c[6 + n, -4 + k] + 
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  5693866499937600000000*k^5*n*c[6 + n, -4 + k] - 
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  13736498011200000000*k^9*n*c[6 + n, -4 + k] - 
  4179336004800000000*k^10*n*c[6 + n, -4 + k] - 
  78752995200000000*k^11*n*c[6 + n, -4 + k] - 4986258826752000000000*n^2*
   c[6 + n, -4 + k] - 10402093359590400000000*k*n^2*c[6 + n, -4 + k] + 
  3064308030259200000000*k^2*n^2*c[6 + n, -4 + k] + 
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  2020890578205600000000*k^5*n^2*c[6 + n, -4 + k] - 
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  153440615174400000000*k^7*n^2*c[6 + n, -4 + k] + 
  6373014228000000000*k^8*n^2*c[6 + n, -4 + k] - 
  4002026292000000000*k^9*n^2*c[6 + n, -4 + k] - 
  137817741600000000*k^10*n^2*c[6 + n, -4 + k] - 
  1822219096320000000000*n^3*c[6 + n, -4 + k] - 
  2954965519065600000000*k*n^3*c[6 + n, -4 + k] + 
  1301094445752000000000*k^2*n^3*c[6 + n, -4 + k] + 
  1867561026429600000000*k^3*n^3*c[6 + n, -4 + k] - 
  283849797495600000000*k^4*n^3*c[6 + n, -4 + k] - 
  298014167152800000000*k^5*n^3*c[6 + n, -4 + k] + 
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  1544488268400000000*k^8*n^3*c[6 + n, -4 + k] - 
  59064746400000000*k^9*n^3*c[6 + n, -4 + k] - 410264594611200000000*n^4*
   c[6 + n, -4 + k] - 476623073880000000000*k*n^4*c[6 + n, -4 + k] + 
  284148025725600000000*k^2*n^4*c[6 + n, -4 + k] + 
  195676152148800000000*k^3*n^4*c[6 + n, -4 + k] - 
  61108932384000000000*k^4*n^4*c[6 + n, -4 + k] - 
  13999853635200000000*k^5*n^4*c[6 + n, -4 + k] + 
  4168927634400000000*k^6*n^4*c[6 + n, -4 + k] - 
  302540832000000000*k^7*n^4*c[6 + n, -4 + k] - 
  58209953659200000000*n^5*c[6 + n, -4 + k] - 42085108764000000000*k*n^5*
   c[6 + n, -4 + k] + 32410251554400000000*k^2*n^5*c[6 + n, -4 + k] + 
  8062072527600000000*k^3*n^5*c[6 + n, -4 + k] - 
  4006971536400000000*k^4*n^5*c[6 + n, -4 + k] + 
  270478537200000000*k^5*n^5*c[6 + n, -4 + k] - 
  12211333200000000*k^6*n^5*c[6 + n, -4 + k] - 
  5078260656000000000*n^6*c[6 + n, -4 + k] - 1710641656800000000*k*n^6*
   c[6 + n, -4 + k] + 1698109272000000000*k^2*n^6*c[6 + n, -4 + k] - 
  16150557600000000*k^3*n^6*c[6 + n, -4 + k] - 22470112800000000*k^4*n^6*
   c[6 + n, -4 + k] - 248954958000000000*n^7*c[6 + n, -4 + k] - 
  15266134800000000*k*n^7*c[6 + n, -4 + k] + 24084118800000000*k^2*n^7*
   c[6 + n, -4 + k] - 5254048800000000*n^8*c[6 + n, -4 + k] - 
  17014709572960114868428800*c[8 + n, -27 + k] - 
  8264839760609376090585600*k*c[8 + n, -27 + k] + 
  19936839408090553842768000*k^2*c[8 + n, -27 + k] + 
  11220343635908894322528000*k^3*c[8 + n, -27 + k] - 
  3698682651784473464160000*k^4*c[8 + n, -27 + k] - 
  2287529665369157936160000*k^5*c[8 + n, -27 + k] + 
  50230100685239331897600*k^6*c[8 + n, -27 + k] + 
  63451511217273427315200*k^7*c[8 + n, -27 + k] - 
  5209157179113657235200*k^8*c[8 + n, -27 + k] + 
  104895073076509497600*k^9*c[8 + n, -27 + k] + 
  1301029907304758400*k^10*c[8 + n, -27 + k] - 
  44102708722195200*k^11*c[8 + n, -27 + k] - 19134230971186883679321600*n*
   c[8 + n, -27 + k] - 7719589014215234155372800*k*n*c[8 + n, -27 + k] + 
  17986806667865483093268000*k^2*n*c[8 + n, -27 + k] + 
  7253269095866478137157600*k^3*n*c[8 + n, -27 + k] - 
  3343997919590209882274400*k^4*n*c[8 + n, -27 + k] - 
  1113549038323593831036000*k^5*n*c[8 + n, -27 + k] + 
  117514432420547004309600*k^6*n*c[8 + n, -27 + k] + 
  16443706868773767828000*k^7*n*c[8 + n, -27 + k] - 
  2090743594941954304800*k^8*n*c[8 + n, -27 + k] + 
  74923257975738127200*k^9*n*c[8 + n, -27 + k] - 
  878044837287340800*k^10*n*c[8 + n, -27 + k] - 
  8813451379489904431267200*n^2*c[8 + n, -27 + k] - 
  2756561637013835278924800*k*n^2*c[8 + n, -27 + k] + 
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  1016605117810989948628800*k^4*n^2*c[8 + n, -27 + k] - 
  137285734195779764389200*k^5*n^2*c[8 + n, -27 + k] + 
  33020925105280702111200*k^6*n^2*c[8 + n, -27 + k] - 
  768062649391839093600*k^7*n^2*c[8 + n, -27 + k] - 
  82953838805268866400*k^8*n^2*c[8 + n, -27 + k] + 
  4261173646709826000*k^9*n^2*c[8 + n, -27 + k] - 
  55128385902744000*k^10*n^2*c[8 + n, -27 + k] - 
  2119596255995529462228000*n^3*c[8 + n, -27 + k] - 
  450784758704695610680800*k*n^3*c[8 + n, -27 + k] + 
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  124121491736366896052400*k^3*n^3*c[8 + n, -27 + k] - 
  124399465715849458856400*k^4*n^3*c[8 + n, -27 + k] + 
  1954518915459667422600*k^5*n^3*c[8 + n, -27 + k] + 
  1883996959657921907400*k^6*n^3*c[8 + n, -27 + k] - 
  154704560683765465800*k^7*n^3*c[8 + n, -27 + k] + 
  4385087223204857400*k^8*n^3*c[8 + n, -27 + k] - 
  41346289427058000*k^9*n^3*c[8 + n, -27 + k] - 
  279017712579622568328000*n^4*c[8 + n, -27 + k] - 
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  29954042650743082200*k^6*n^4*c[8 + n, -27 + k] + 
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  18870805763010953917200*n^5*c[8 + n, -27 + k] + 
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  457127133313400194050*k^3*n^5*c[8 + n, -27 + k] + 
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   c[8 + n, -8 + k] - 6466501276646400000*k^2*n^7*c[8 + n, -8 + k] + 
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   c[8 + n, -7 + k] + 41774773658400000000*k^2*n^6*c[8 + n, -7 + k] - 
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   c[8 + n, -7 + k] + 210881789928000000*k^2*n^7*c[8 + n, -7 + k] - 
  28602495792000000*n^8*c[8 + n, -7 + k] + 240345570705408000000000*
   c[8 + n, -6 + k] - 209490278174392320000000*k*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] + 9061675286400000000*k^11*c[8 + n, -6 + k] + 
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  7931207570506560000000*k*n^4*c[8 + n, -6 + k] + 
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  1245717790166160000000*k^4*n^4*c[8 + n, -6 + k] - 
  189423339879600000000*k^5*n^4*c[8 + n, -6 + k] + 
  93091248710640000000*k^6*n^4*c[8 + n, -6 + k] - 
  6583213446480000000*k^7*n^4*c[8 + n, -6 + k] - 
  36484446591360000000*n^5*c[8 + n, -6 + k] - 576920150183520000000*k*n^5*
   c[8 + n, -6 + k] + 361799751126960000000*k^2*n^5*c[8 + n, -6 + k] + 
  78803478829080000000*k^3*n^5*c[8 + n, -6 + k] - 
  71728154632440000000*k^4*n^5*c[8 + n, -6 + k] + 
  7495696068840000000*k^5*n^5*c[8 + n, -6 + k] + 
  29939417640000000*k^6*n^5*c[8 + n, -6 + k] - 18214698121920000000*n^6*
   c[8 + n, -6 + k] - 10688727762000000000*k*n^6*c[8 + n, -6 + k] + 
  18233757972720000000*k^2*n^6*c[8 + n, -6 + k] - 
  3186614714400000000*k^3*n^6*c[8 + n, -6 + k] - 
  120250008000000000*k^4*n^6*c[8 + n, -6 + k] - 
  1045315666080000000*n^7*c[8 + n, -6 + k] + 477134378280000000*k*n^7*
   c[8 + n, -6 + k] + 79099153560000000*k^2*n^7*c[8 + n, -6 + k] - 
  14329224000000000*n^8*c[8 + n, -6 + k] + 20740636614106618778419200*
   c[10 + n, -25 + k] + 20293958877599718388224000*k*c[10 + n, -25 + k] - 
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  24039749176070177680704000*k^3*c[10 + n, -25 + k] - 
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  67752867109189189132800*k^7*c[10 + n, -25 + k] - 
  11143361674669550054400*k^8*c[10 + n, -25 + k] + 
  1291128302468831500800*k^9*c[10 + n, -25 + k] - 
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  529232504666342400*k^11*c[10 + n, -25 + k] + 23419504359521408588083200*n*
   c[10 + n, -25 + k] + 18335575247430370290278400*k*n*c[10 + n, -25 + k] - 
  20295686457272756706220800*k^2*n*c[10 + n, -25 + k] - 
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  1371214110225472932510000*k^2*n^3*c[10 + n, -25 + k] - 
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  903976216713397926000*k^5*n^3*c[10 + n, -25 + k] - 
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  348542615415220806888000*n^4*c[10 + n, -25 + k] + 
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  119660341305377183509800*k^2*n^4*c[10 + n, -25 + k] + 
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  965027586610430254800*k^5*n^4*c[10 + n, -25 + k] + 
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  38975842869295455900*k^4*n^5*c[10 + n, -25 + k] + 
  834335089167138300*k^5*n^5*c[10 + n, -25 + k] - 
  751750716855600*k^6*n^5*c[10 + n, -25 + k] + 642493266008517390600*n^6*
   c[10 + n, -25 + k] - 125766586326842168400*k*n^6*c[10 + n, -25 + k] + 
  10068789955684033350*k^2*n^6*c[10 + n, -25 + k] - 
  351409289642863200*k^3*n^6*c[10 + n, -25 + k] - 
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  675867556742294700*n^7*c[10 + n, -25 + k] + 53300264841299700*k*n^7*
   c[10 + n, -25 + k] + 3787228990219500*k^2*n^7*c[10 + n, -25 + k] - 
  777378582202950*n^8*c[10 + n, -25 + k] - 1041400822948077320876851200*
   c[10 + n, -24 + k] - 945755987401445530499481600*k*c[10 + n, -24 + k] + 
  1116548015838321568397414400*k^2*c[10 + n, -24 + k] + 
  1133554270145243473739520000*k^3*c[10 + n, -24 + k] - 
  30674926397925553336992000*k^4*c[10 + n, -24 + k] - 
  204273793482933456523785600*k^5*c[10 + n, -24 + k] - 
  32517615057644666448374400*k^6*c[10 + n, -24 + k] + 
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  32194977367202496000*k^11*c[10 + n, -24 + k] - 
  1175757182925496874848051200*n*c[10 + n, -24 + k] - 
  849982397048822421289382400*k*n*c[10 + n, -24 + k] + 
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   c[10 + n, -23 + k] + 21970719979279967886832558080*k*c[10 + n, -23 + k] - 
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  3621700402343531235*n^8*c[10 + n, -23 + k] - 391905951754243823851927633920*
   c[10 + n, -22 + k] - 349159337415455590103334543360*k*c[10 + n, -22 + k] + 
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   c[10 + n, -10 + k] - 639151082424000000*k^2*n^7*c[10 + n, -10 + k] + 
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   c[10 + n, -9 + k] - 29053295900640000000*k^2*n^6*c[10 + n, -9 + k] + 
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   c[10 + n, -8 + k] - 66989874570854400000000*k*c[10 + n, -8 + k] + 
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  28571478883200000000*n^5*c[10 + n, -8 + k] + 64359711345600000000*k*n^5*
   c[10 + n, -8 + k] - 74930322931200000000*k^2*n^5*c[10 + n, -8 + k] - 
  11284426612800000000*k^3*n^5*c[10 + n, -8 + k] + 
  14446440201600000000*k^4*n^5*c[10 + n, -8 + k] - 
  958892774400000000*k^5*n^5*c[10 + n, -8 + k] - 
  60970060800000000*k^6*n^5*c[10 + n, -8 + k] + 
  5875271107200000000*n^6*c[10 + n, -8 + k] + 17962560000000000*k*n^6*
   c[10 + n, -8 + k] - 4413471559200000000*k^2*n^6*c[10 + n, -8 + k] + 
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  90704512800000000*k^4*n^6*c[10 + n, -8 + k] + 
  395670290400000000*n^7*c[10 + n, -8 + k] - 125558294400000000*k*n^7*
   c[10 + n, -8 + k] - 39607444800000000*k^2*n^7*c[10 + n, -8 + k] + 
  5254048800000000*n^8*c[10 + n, -8 + k], 
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  397111981566570321067200000*k^2*n^4*c[-4 + n, -1 + k] + 
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  575221902233338047600000*k^7*n^4*c[-4 + n, -1 + k] - 
  19536355364516368747200000*n^5*c[-4 + n, -1 + k] + 
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  38618350092510848190000000*k^2*n^5*c[-4 + n, -1 + k] - 
  86924121563012711958000000*k^3*n^5*c[-4 + n, -1 + k] - 
  436252954653576838800000*k^4*n^5*c[-4 + n, -1 + k] + 
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  11545226910535479210000000*k^2*n^6*c[-4 + n, -1 + k] - 
  10381745864991464622000000*k^3*n^6*c[-4 + n, -1 + k] + 
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  1131622992969929460000000*k^2*n^7*c[-4 + n, -1 + k] + 
  222895438009228530000000*n^8*c[-4 + n, -1 + k] - 
  1956567115339451596800000000*c[-4 + n, k] - 8011546718818790031360000000*k*
   c[-4 + n, k] - 11822320628294314460160000000*k^2*c[-4 + n, k] - 
  4806557312281951699200000000*k^3*c[-4 + n, k] + 
  7428520743914405232000000000*k^4*c[-4 + n, k] + 
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  787362112023143414400000000*k^8*c[-4 + n, k] - 
  574402166721449331840000000*k^9*c[-4 + n, k] - 
  153731009063573280000000000*k^10*c[-4 + n, k] - 
  18990731874398169600000000*k^11*c[-4 + n, k] - 
  862129402454707200000000*k^12*c[-4 + n, k] - 1019800078436329881600000000*n*
   c[-4 + n, k] - 4988057407067470832640000000*k*n*c[-4 + n, k] - 
  9527254315866930209280000000*k^2*n*c[-4 + n, k] - 
  7598791955703418388160000000*k^3*n*c[-4 + n, k] + 
  607371080815653490080000000*k^4*n*c[-4 + n, k] + 
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  3919860392245342300800000000*k^6*n*c[-4 + n, k] + 
  776524677597548979840000000*k^7*n*c[-4 + n, k] - 
  278920383610409004960000000*k^8*n*c[-4 + n, k] - 
  169240454801256049920000000*k^9*n*c[-4 + n, k] - 
  30043499064894057600000000*k^10*n*c[-4 + n, k] - 
  1724544713847859200000000*k^11*n*c[-4 + n, k] + 
  219367378556649523200000000*n^2*c[-4 + n, k] - 
  407610413756019060480000000*k*n^2*c[-4 + n, k] - 
  2811076740967757180160000000*k^2*n^2*c[-4 + n, k] - 
  3662475863324736337920000000*k^3*n^2*c[-4 + n, k] - 
  1159935110185659134400000000*k^4*n^2*c[-4 + n, k] + 
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  824903430772613406480000000*k^6*n^2*c[-4 + n, k] + 
  157491691412998219920000000*k^7*n^2*c[-4 + n, k] - 
  32014549069694516880000000*k^8*n^2*c[-4 + n, k] - 
  13961794834598022720000000*k^9*n^2*c[-4 + n, k] - 
  1132188135833304000000000*k^10*n^2*c[-4 + n, k] + 
  249710625018009792000000000*n^3*c[-4 + n, k] + 
  315142624938468611520000000*k*n^3*c[-4 + n, k] - 
  362145679952405931360000000*k^2*n^3*c[-4 + n, k] - 
  744168713369725260720000000*k^3*n^3*c[-4 + n, k] - 
  306547387402914607320000000*k^4*n^3*c[-4 + n, k] + 
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  73272382403624154360000000*k^6*n^3*c[-4 + n, k] + 
  11226622319669449080000000*k^7*n^3*c[-4 + n, k] - 
  1268998663025823840000000*k^8*n^3*c[-4 + n, k] - 
  242795541996136800000000*k^9*n^3*c[-4 + n, k] + 
  53835880695910185600000000*n^4*c[-4 + n, k] + 
  69771248565732650880000000*k*n^4*c[-4 + n, k] - 
  14987543496380301600000000*k^2*n^4*c[-4 + n, k] - 
  54833931292758514560000000*k^3*n^4*c[-4 + n, k] - 
  23590629278029048320000000*k^4*n^4*c[-4 + n, k] - 
  465539661287830080000000*k^5*n^4*c[-4 + n, k] + 
  1647726718639829760000000*k^6*n^4*c[-4 + n, k] + 
  235499156667640800000000*k^7*n^4*c[-4 + n, k] + 
  346986130194849600000000*n^5*c[-4 + n, k] - 369772054165538640000000*k*n^5*
   c[-4 + n, k] + 2064998995181169480000000*k^2*n^5*c[-4 + n, k] + 
  1788032830518765360000000*k^3*n^5*c[-4 + n, k] - 
  546369254820707760000000*k^4*n^5*c[-4 + n, k] - 
  387881789940666360000000*k^5*n^5*c[-4 + n, k] - 
  1350056106349423200000000*n^6*c[-4 + n, k] - 1165464197600079600000000*k*
   n^6*c[-4 + n, k] + 506269092556390320000000*k^2*n^6*c[-4 + n, k] + 
  329418106594353360000000*k^3*n^6*c[-4 + n, k] - 
  47141583255874800000000*k^4*n^6*c[-4 + n, k] - 
  178901192336958000000000*n^7*c[-4 + n, k] - 78125919717245400000000*k*n^7*
   c[-4 + n, k] + 37141853474325600000000*k^2*n^7*c[-4 + n, k] - 
  7315819623730800000000*n^8*c[-4 + n, k] + 3398309966757888000000000*
   c[-4 + n, 1 + k] + 11957607776288563200000000*k*c[-4 + n, 1 + k] + 
  13214754133569331200000000*k^2*c[-4 + n, 1 + k] - 
  692340130188172800000000*k^3*c[-4 + n, 1 + k] - 
  13529372503862016000000000*k^4*c[-4 + n, 1 + k] - 
  12006137226860352000000000*k^5*c[-4 + n, 1 + k] - 
  3990807547317273600000000*k^6*c[-4 + n, 1 + k] + 
  408254273272051200000000*k^7*c[-4 + n, 1 + k] + 
  842773378205491200000000*k^8*c[-4 + n, 1 + k] + 
  326000414321164800000000*k^9*c[-4 + n, 1 + k] + 
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  6614893166745600000000*k^11*c[-4 + n, 1 + k] + 
  285908938444800000000*k^12*c[-4 + n, 1 + k] + 
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  7940722138969334400000000*k^4*n*c[-4 + n, 1 + k] - 
  6522870108803731200000000*k^5*n*c[-4 + n, 1 + k] - 
  1822996849559904000000000*k^6*n*c[-4 + n, 1 + k] + 
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  298421187529968000000000*k^8*n*c[-4 + n, 1 + k] + 
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  11095216190784000000000*k^10*n*c[-4 + n, 1 + k] + 
  571817876889600000000*k^11*n*c[-4 + n, 1 + k] + 
  1483833916341504000000000*n^2*c[-4 + n, 1 + k] + 
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  4623205589394393600000000*k^2*n^2*c[-4 + n, 1 + k] + 
  895045340426659200000000*k^3*n^2*c[-4 + n, 1 + k] - 
  1656817836697281600000000*k^4*n^2*c[-4 + n, 1 + k] - 
  1293769878211699200000000*k^5*n^2*c[-4 + n, 1 + k] - 
  315456135662678400000000*k^6*n^2*c[-4 + n, 1 + k] + 
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  375255481708800000000*k^10*n^2*c[-4 + n, 1 + k] + 
  308154012513984000000000*n^3*c[-4 + n, 1 + k] + 
  863691053991177600000000*k*n^3*c[-4 + n, 1 + k] + 
  831030872243961600000000*k^2*n^3*c[-4 + n, 1 + k] + 
  225438769280815200000000*k^3*n^3*c[-4 + n, 1 + k] - 
  136090488722918400000000*k^4*n^3*c[-4 + n, 1 + k] - 
  110714269557499200000000*k^5*n^3*c[-4 + n, 1 + k] - 
  25397029772121600000000*k^6*n^3*c[-4 + n, 1 + k] - 
  30219068455200000000*k^7*n^3*c[-4 + n, 1 + k] + 
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  80937704420726400000000*k*n^4*c[-4 + n, 1 + k] + 
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  1387618245897021048172800000*k^2*n^2*c[-2 + n, -2 + k] + 
  567403370913298043928000000*k^3*n^2*c[-2 + n, -2 + k] - 
  1569924778228646893075200000*k^4*n^2*c[-2 + n, -2 + k] - 
  1143804992196415695991200000*k^5*n^2*c[-2 + n, -2 + k] + 
  471496717802991924410400000*k^6*n^2*c[-2 + n, -2 + k] + 
  312143766150501934401600000*k^7*n^2*c[-2 + n, -2 + k] - 
  67345718684632983043200000*k^8*n^2*c[-2 + n, -2 + k] - 
  23344798247834941231200000*k^9*n^2*c[-2 + n, -2 + k] + 
  3273358127562511164000000*k^10*n^2*c[-2 + n, -2 + k] + 
  113480703371842852032000000*n^3*c[-2 + n, -2 + k] + 
  373702781796504666460800000*k*n^3*c[-2 + n, -2 + k] + 
  735955189414895022216000000*k^2*n^3*c[-2 + n, -2 + k] + 
  284000245958198748333600000*k^3*n^3*c[-2 + n, -2 + k] - 
  509966118663962843480400000*k^4*n^3*c[-2 + n, -2 + k] - 
  223237859773875616764000000*k^5*n^3*c[-2 + n, -2 + k] + 
  128583095599947937096800000*k^6*n^3*c[-2 + n, -2 + k] + 
  24697831982016712831200000*k^7*n^3*c[-2 + n, -2 + k] - 
  11313427312632361870800000*k^8*n^3*c[-2 + n, -2 + k] + 
  330757603917737436000000*k^9*n^3*c[-2 + n, -2 + k] - 
  66627733389510895430400000*n^4*c[-2 + n, -2 + k] - 
  46915862269295249236800000*k*n^4*c[-2 + n, -2 + k] + 
  199504112090013754099200000*k^2*n^4*c[-2 + n, -2 + k] + 
  146293200614492123972400000*k^3*n^4*c[-2 + n, -2 + k] - 
  60373220811941609247600000*k^4*n^4*c[-2 + n, -2 + k] - 
  28404990086206812152400000*k^5*n^4*c[-2 + n, -2 + k] + 
  7752919827685587937200000*k^6*n^4*c[-2 + n, -2 + k] - 
  397290579670758232800000*k^7*n^4*c[-2 + n, -2 + k] - 
  49064630419214645414400000*n^5*c[-2 + n, -2 + k] - 
  52875391749264483156000000*k*n^5*c[-2 + n, -2 + k] + 
  30127777273160758040400000*k^2*n^5*c[-2 + n, -2 + k] + 
  30795678544092005707200000*k^3*n^5*c[-2 + n, -2 + k] - 
  3294585157817723396400000*k^4*n^5*c[-2 + n, -2 + k] - 
  2006843667641780371200000*k^5*n^5*c[-2 + n, -2 + k] - 
  10843947244500932390400000*n^6*c[-2 + n, -2 + k] - 
  9711830787177203463600000*k*n^6*c[-2 + n, -2 + k] + 
  2726813803823520314400000*k^2*n^6*c[-2 + n, -2 + k] + 
  2212499678860065060000000*k^3*n^6*c[-2 + n, -2 + k] - 
  163516572639804978000000*k^4*n^6*c[-2 + n, -2 + k] - 
  959564647003009788000000*n^7*c[-2 + n, -2 + k] - 
  543829732875839124000000*k*n^7*c[-2 + n, -2 + k] + 
  128831239049543316000000*k^2*n^7*c[-2 + n, -2 + k] - 
  25375850115819138000000*n^8*c[-2 + n, -2 + k] - 
  33271777463210237952000000*c[-2 + n, -1 + k] - 
  165882896512681649664000000*k*c[-2 + n, -1 + k] - 
  226336239812122652032000000*k^2*c[-2 + n, -1 + k] + 
  128385431287762996608000000*k^3*c[-2 + n, -1 + k] + 
  546673683123781884512000000*k^4*c[-2 + n, -1 + k] + 
  309943296012976249344000000*k^5*c[-2 + n, -1 + k] - 
  229926518883284104864000000*k^6*c[-2 + n, -1 + k] - 
  306100039507183901952000000*k^7*c[-2 + n, -1 + k] - 
  76218041328770590560000000*k^8*c[-2 + n, -1 + k] + 
  30440051773806781440000000*k^9*c[-2 + n, -1 + k] + 
  18920018154307736736000000*k^10*c[-2 + n, -1 + k] + 
  3212456042357553024000000*k^11*c[-2 + n, -1 + k] + 
  160577112259935360000000*k^12*c[-2 + n, -1 + k] - 
  99746216023912653312000000*n*c[-2 + n, -1 + k] - 
  431256311691509479808000000*k*n*c[-2 + n, -1 + k] - 
  545543491701790068576000000*k^2*n*c[-2 + n, -1 + k] + 
  131648518326951603184000000*k^3*n*c[-2 + n, -1 + k] + 
  804385954005286695936000000*k^4*n*c[-2 + n, -1 + k] + 
  490931630094221763712000000*k^5*n*c[-2 + n, -1 + k] - 
  114759681555626427024000000*k^6*n*c[-2 + n, -1 + k] - 
  193270934421771157872000000*k^7*n*c[-2 + n, -1 + k] - 
  39137007367924005600000000*k^8*n*c[-2 + n, -1 + k] + 
  11520621866422187424000000*k^9*n*c[-2 + n, -1 + k] + 
  4397591394716000976000000*k^10*n*c[-2 + n, -1 + k] + 
  312209973096611040000000*k^11*n*c[-2 + n, -1 + k] - 
  60148541223674272512000000*n^2*c[-2 + n, -1 + k] - 
  258273223013131168512000000*k*n^2*c[-2 + n, -1 + k] - 
  345896778123466312944000000*k^2*n^2*c[-2 + n, -1 + k] - 
  19355833281107034528000000*k^3*n^2*c[-2 + n, -1 + k] + 
  303998908099186007040000000*k^4*n^2*c[-2 + n, -1 + k] + 
  185713135268909804208000000*k^5*n^2*c[-2 + n, -1 + k] - 
  23367954573318011184000000*k^6*n^2*c[-2 + n, -1 + k] - 
  40334631851156741568000000*k^7*n^2*c[-2 + n, -1 + k] - 
  4980823474580606880000000*k^8*n^2*c[-2 + n, -1 + k] + 
  1472386375657652400000000*k^9*n^2*c[-2 + n, -1 + k] + 
  200511586657990080000000*k^10*n^2*c[-2 + n, -1 + k] - 
  1235040487840467360000000*n^3*c[-2 + n, -1 + k] - 
  40022829351463545072000000*k*n^3*c[-2 + n, -1 + k] - 
  94395751418735407800000000*k^2*n^3*c[-2 + n, -1 + k] - 
  45186592657925838996000000*k^3*n^3*c[-2 + n, -1 + k] + 
  38729882402090148204000000*k^4*n^3*c[-2 + n, -1 + k] + 
  30265173412795322352000000*k^5*n^3*c[-2 + n, -1 + k] - 
  771877750273986960000000*k^6*n^3*c[-2 + n, -1 + k] - 
  2871143276126964804000000*k^7*n^3*c[-2 + n, -1 + k] - 
  93651012835229124000000*k^8*n^3*c[-2 + n, -1 + k] + 
  42509049361309080000000*k^9*n^3*c[-2 + n, -1 + k] + 
  10634798718986684112000000*n^4*c[-2 + n, -1 + k] + 
  11561181224836972320000000*k*n^4*c[-2 + n, -1 + k] - 
  13312580738538260772000000*k^2*n^4*c[-2 + n, -1 + k] - 
  15784654848188246316000000*k^3*n^4*c[-2 + n, -1 + k] + 
  631464101703321048000000*k^4*n^4*c[-2 + n, -1 + k] + 
  2790410338393879320000000*k^5*n^4*c[-2 + n, -1 + k] + 
  197925265631022012000000*k^6*n^4*c[-2 + n, -1 + k] - 
  53060681745327564000000*k^7*n^4*c[-2 + n, -1 + k] + 
  4341052884895765272000000*n^5*c[-2 + n, -1 + k] + 
  5086948967291092284000000*k*n^5*c[-2 + n, -1 + k] - 
  1451581154323806816000000*k^2*n^5*c[-2 + n, -1 + k] - 
  2337248343526835112000000*k^3*n^5*c[-2 + n, -1 + k] - 
  30296958407457336000000*k^4*n^5*c[-2 + n, -1 + k] + 
  147461568074225388000000*k^5*n^5*c[-2 + n, -1 + k] + 
  785197555268648652000000*n^6*c[-2 + n, -1 + k] + 
  678108762668558844000000*k*n^6*c[-2 + n, -1 + k] - 
  180704155405386492000000*k^2*n^6*c[-2 + n, -1 + k] - 
  132418725928957404000000*k^3*n^6*c[-2 + n, -1 + k] + 
  15442036484933520000000*k^4*n^6*c[-2 + n, -1 + k] + 
  69143301588275460000000*n^7*c[-2 + n, -1 + k] + 
  31500740670480900000000*k*n^7*c[-2 + n, -1 + k] - 
  12166452988129440000000*k^2*n^7*c[-2 + n, -1 + k] + 
  2396422558267920000000*n^8*c[-2 + n, -1 + k] + 
  395519347851264000000000*c[-2 + n, k] + 830280883035340800000000*k*
   c[-2 + n, k] - 241328988121804800000000*k^2*c[-2 + n, k] - 
  1723941603236736000000000*k^3*c[-2 + n, k] - 1060928381450688000000000*k^4*
   c[-2 + n, k] + 615559976149305600000000*k^5*c[-2 + n, k] + 
  966120114503164800000000*k^6*c[-2 + n, k] + 347565741915628800000000*k^7*
   c[-2 + n, k] - 40530635530963200000000*k^8*c[-2 + n, k] - 
  65764424559110400000000*k^9*c[-2 + n, k] - 19839056280912000000000*k^10*
   c[-2 + n, k] - 2587969842796800000000*k^11*c[-2 + n, k] - 
  125004431692800000000*k^12*c[-2 + n, k] + 638818885929369600000000*n*
   c[-2 + n, k] + 1316725494295142400000000*k*n*c[-2 + n, k] - 
  56152072470067200000000*k^2*n*c[-2 + n, k] - 1863719076254188800000000*k^3*
   n*c[-2 + n, k] - 1256592528214848000000000*k^4*n*c[-2 + n, k] + 
  261010279290235200000000*k^5*n*c[-2 + n, k] + 
  564419320762824000000000*k^6*n*c[-2 + n, k] + 
  177894967354732800000000*k^7*n*c[-2 + n, k] - 
  18098385720134400000000*k^8*n*c[-2 + n, k] - 20974128536750400000000*k^9*n*
   c[-2 + n, k] - 4116712092609600000000*k^10*n*c[-2 + n, k] - 
  255970380441600000000*k^11*n*c[-2 + n, k] + 372619676949811200000000*n^2*
   c[-2 + n, k] + 722194312473216000000000*k*n^2*c[-2 + n, k] + 
  60680856040934400000000*k^2*n^2*c[-2 + n, k] - 
  699803627122886400000000*k^3*n^2*c[-2 + n, k] - 
  458518119063940800000000*k^4*n^2*c[-2 + n, k] + 
  39385432353232800000000*k^5*n^2*c[-2 + n, k] + 
  120059586965980800000000*k^6*n^2*c[-2 + n, k] + 
  30687072537196800000000*k^7*n^2*c[-2 + n, k] - 
  2853474741532800000000*k^8*n^2*c[-2 + n, k] - 
  1923468691082400000000*k^9*n^2*c[-2 + n, k] - 
  177481729972800000000*k^10*n^2*c[-2 + n, k] + 
  86339075984179200000000*n^3*c[-2 + n, k] + 159323340293510400000000*k*n^3*
   c[-2 + n, k] + 40479053965358400000000*k^2*n^3*c[-2 + n, k] - 
  91221816275265600000000*k^3*n^3*c[-2 + n, k] - 
  65328694023780000000000*k^4*n^3*c[-2 + n, k] - 
  2348760207405600000000*k^5*n^3*c[-2 + n, k] + 
  8965572936192000000000*k^6*n^3*c[-2 + n, k] + 
  1966763496614400000000*k^7*n^3*c[-2 + n, k] - 
  123632393623200000000*k^8*n^3*c[-2 + n, k] - 41864203101600000000*k^9*n^3*
   c[-2 + n, k] - 2492047402790400000000*n^4*c[-2 + n, k] + 
  2927176783315200000000*k*n^4*c[-2 + n, k] + 13665013093836000000000*k^2*n^4*
   c[-2 + n, k] + 5927603955847200000000*k^3*n^4*c[-2 + n, k] - 
  3386810113934400000000*k^4*n^4*c[-2 + n, k] - 
  1976084551267200000000*k^5*n^4*c[-2 + n, k] - 
  12587475621600000000*k^6*n^4*c[-2 + n, k] + 62028126151200000000*k^7*n^4*
   c[-2 + n, k] - 5592407313729600000000*n^5*c[-2 + n, k] - 
  4721542481001600000000*k*n^5*c[-2 + n, k] + 3059236075798800000000*k^2*n^5*
   c[-2 + n, k] + 2523113743590000000000*k^3*n^5*c[-2 + n, k] - 
  193567517672400000000*k^4*n^5*c[-2 + n, k] - 209214879231600000000*k^5*n^5*
   c[-2 + n, k] - 1209173743159200000000*n^6*c[-2 + n, k] - 
  763079098377600000000*k*n^6*c[-2 + n, k] + 393505950490200000000*k^2*n^6*
   c[-2 + n, k] + 171292458736800000000*k^3*n^6*c[-2 + n, k] - 
  26417660484600000000*k^4*n^6*c[-2 + n, k] - 113299502425200000000*n^7*
   c[-2 + n, k] - 37795000042800000000*k*n^7*c[-2 + n, k] + 
  20813914321200000000*k^2*n^7*c[-2 + n, k] - 4099710396600000000*n^8*
   c[-2 + n, k] + 70858515087360000000000*c[-2 + n, 1 + k] + 
  249329325256704000000000*k*c[-2 + n, 1 + k] + 
  275542214897664000000000*k^2*c[-2 + n, 1 + k] - 
  14436056169216000000000*k^3*c[-2 + n, 1 + k] - 
  282102355307520000000000*k^4*c[-2 + n, 1 + k] - 
  250341217885440000000000*k^5*c[-2 + n, 1 + k] - 
  83212743854592000000000*k^6*c[-2 + n, 1 + k] + 
  8512552376064000000000*k^7*c[-2 + n, 1 + k] + 
  17572755492864000000000*k^8*c[-2 + n, 1 + k] + 
  6797468595456000000000*k^9*c[-2 + n, 1 + k] + 
  1335652167168000000000*k^10*c[-2 + n, 1 + k] + 
  137927826432000000000*k^11*c[-2 + n, 1 + k] + 
  5961517056000000000*k^12*c[-2 + n, 1 + k] + 74174611230720000000000*n*
   c[-2 + n, 1 + k] + 244160226782208000000000*k*n*c[-2 + n, 1 + k] + 
  260894617175808000000000*k^2*n*c[-2 + n, 1 + k] + 
  23227000036416000000000*k^3*n*c[-2 + n, 1 + k] - 
  165572824431168000000000*k^4*n*c[-2 + n, 1 + k] - 
  136009044065664000000000*k^5*n*c[-2 + n, 1 + k] - 
  38011497194880000000000*k^6*n*c[-2 + n, 1 + k] + 
  4774252304448000000000*k^7*n*c[-2 + n, 1 + k] + 
  6222411264960000000000*k^8*n*c[-2 + n, 1 + k] + 
  1774307462400000000000*k^9*n*c[-2 + n, 1 + k] + 
  231347508480000000000*k^10*n*c[-2 + n, 1 + k] + 
  11923034112000000000*k^11*n*c[-2 + n, 1 + k] + 
  30939575546880000000000*n^2*c[-2 + n, 1 + k] + 
  94461160856832000000000*k*n^2*c[-2 + n, 1 + k] + 
  96398941300992000000000*k^2*n^2*c[-2 + n, 1 + k] + 
  18662683621824000000000*k^3*n^2*c[-2 + n, 1 + k] - 
  34546481288352000000000*k^4*n^2*c[-2 + n, 1 + k] - 
  26976530490624000000000*k^5*n^2*c[-2 + n, 1 + k] - 
  6577608742848000000000*k^6*n^2*c[-2 + n, 1 + k] + 
  577572088896000000000*k^7*n^2*c[-2 + n, 1 + k] + 
  622271577312000000000*k^8*n^2*c[-2 + n, 1 + k] + 
  119636808192000000000*k^9*n^2*c[-2 + n, 1 + k] + 
  7824491136000000000*k^10*n^2*c[-2 + n, 1 + k] + 
  6425351412480000000000*n^3*c[-2 + n, 1 + k] + 
  18008912129472000000000*k*n^3*c[-2 + n, 1 + k] + 
  17327911277952000000000*k^2*n^3*c[-2 + n, 1 + k] + 
  4700647260144000000000*k^3*n^3*c[-2 + n, 1 + k] - 
  2837636955648000000000*k^4*n^3*c[-2 + n, 1 + k] - 
  2308514766624000000000*k^5*n^3*c[-2 + n, 1 + k] - 
  529556113152000000000*k^6*n^3*c[-2 + n, 1 + k] - 
  630100944000000000*k^7*n^3*c[-2 + n, 1 + k] + 
  16021577088000000000*k^8*n^3*c[-2 + n, 1 + k] + 
  1676676672000000000*k^9*n^3*c[-2 + n, 1 + k] + 
  664111768320000000000*n^4*c[-2 + n, 1 + k] + 1687640505408000000000*k*n^4*
   c[-2 + n, 1 + k] + 1511074442592000000000*k^2*n^4*c[-2 + n, 1 + k] + 
  501756656544000000000*k^3*n^4*c[-2 + n, 1 + k] - 
  39980809440000000000*k^4*n^4*c[-2 + n, 1 + k] - 
  69643667808000000000*k^5*n^4*c[-2 + n, 1 + k] - 
  16772925312000000000*k^6*n^4*c[-2 + n, 1 + k] - 
  1321017984000000000*k^7*n^4*c[-2 + n, 1 + k] + 
  27321053760000000000*n^5*c[-2 + n, 1 + k] + 61992771984000000000*k*n^5*
   c[-2 + n, 1 + k] + 50999300352000000000*k^2*n^5*c[-2 + n, 1 + k] + 
  19710188784000000000*k^3*n^5*c[-2 + n, 1 + k] + 
  3642807168000000000*k^4*n^5*c[-2 + n, 1 + k] + 
  260200512000000000*k^5*n^5*c[-2 + n, 1 + k] - 
  67270328198358725028081991680*c[n, -30 + k] - 
  72469933809754666739994077184*k*c[n, -30 + k] + 
  68416810361021419792547056128*k^2*c[n, -30 + k] + 
  84572692229116880673199220736*k^3*c[n, -30 + k] + 
  4084290293331215433079838592*k^4*c[n, -30 + k] - 
  14416978452255207153478115712*k^5*c[n, -30 + k] - 
  3145002783171060508833257856*k^6*c[n, -30 + k] + 
  190154917756198133883525888*k^7*c[n, -30 + k] + 
  43017320462105539774521216*k^8*c[n, -30 + k] - 
  4923527226957366583192704*k^9*c[n, -30 + k] + 
  205545971363609676774528*k^10*c[n, -30 + k] - 
  3925748914698805818624*k^11*c[n, -30 + k] + 28856348313615516672*k^12*
   c[n, -30 + k] - 70329833451017015561567631360*n*c[n, -30 + k] - 
  59775012268002097235790202368*k*n*c[n, -30 + k] + 
  58658036785312666674929596416*k^2*n*c[n, -30 + k] + 
  47080286592660054706827057984*k^3*n*c[n, -30 + k] - 
  6030660602320786957076131104*k^4*n*c[n, -30 + k] - 
  6285977355897407191363550208*k^5*n*c[n, -30 + k] - 
  62416545496587183910042080*k^6*n*c[n, -30 + k] + 
  127790418882004450142221152*k^7*n*c[n, -30 + k] - 
  11527512693927326687321856*k^8*n*c[n, -30 + k] + 
  443540774639609429468256*k^9*n*c[n, -30 + k] - 
  8098931237659009456896*k^10*n*c[n, -30 + k] + 
  57712696627231033344*k^11*n*c[n, -30 + k] - 29280055844654668349068631040*
   n^2*c[n, -30 + k] - 17881703852499910651943953152*k*n^2*c[n, -30 + k] + 
  19115275360653856296379550304*k^2*n^2*c[n, -30 + k] + 
  8127756465262125661191016656*k^3*n^2*c[n, -30 + k] - 
  2728552222348342298466937776*k^4*n^2*c[n, -30 + k] - 
  472138616322242540708138064*k^5*n^2*c[n, -30 + k] + 
  118703581823951447366756304*k^6*n^2*c[n, -30 + k] - 
  8907805312451465962517136*k^7*n^2*c[n, -30 + k] + 
  316853949120102287712576*k^8*n^2*c[n, -30 + k] - 
  5513705721327742743024*k^9*n^2*c[n, -30 + k] + 
  37873957161620365632*k^10*n^2*c[n, -30 + k] - 
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  2178172604041646509676302272*k*n^3*c[n, -30 + k] + 
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  293717212508372578374937896*k^3*n^3*c[n, -30 + k] - 
  263497244938938343849419720*k^4*n^3*c[n, -30 + k] + 
  37492176412914919652814768*k^5*n^3*c[n, -30 + k] - 
  2374514987588222808681144*k^6*n^3*c[n, -30 + k] + 
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  1256329483121776448880*k^8*n^3*c[n, -30 + k] + 
  8115847963204364064*k^9*n^3*c[n, -30 + k] - 622458858299096388608868960*n^4*
   c[n, -30 + k] - 59475676528880708064629328*k*n^4*c[n, -30 + k] + 
  150297846369806083973134392*k^2*n^4*c[n, -30 + k] - 
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  81653964981859542063312*k^5*n^4*c[n, -30 + k] + 
  1776325042028170801908*k^6*n^4*c[n, -30 + k] - 
  15392767440452629788*k^7*n^4*c[n, -30 + k] - 25110086476150881130189680*n^5*
   c[n, -30 + k] + 4608808109617677977658456*k*n^5*c[n, -30 + k] - 
  500694768961752928315860*k^2*n^5*c[n, -30 + k] + 
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  922305356081642600820*k^4*n^5*c[n, -30 + k] + 
  11604936814882828974*k^5*n^5*c[n, -30 + k] + 33819410938947176251800*n^6*
   c[n, -30 + k] - 3623018157066788763660*k*n^6*c[n, -30 + k] + 
  202038016431219305220*k^2*n^6*c[n, -30 + k] - 
  3961595593149662520*k^3*n^6*c[n, -30 + k] - 15157644893173610100*n^7*
   c[n, -30 + k] + 505254829772453670*k*n^7*c[n, -30 + k] + 
  1407341280725577809475931791360*c[n, -29 + k] + 
  1500550933794273067538981150208*k*c[n, -29 + k] - 
  1449139989807449943730552699776*k^2*c[n, -29 + k] - 
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  64699580376292506372632630304*k^4*c[n, -29 + k] + 
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  829175215697600764608*k^12*c[n, -29 + k] + 1467178925595469478548397130240*
   n*c[n, -29 + k] + 1229767272322055181384628347648*k*n*c[n, -29 + k] - 
  1237715848664635981457487799008*k^2*n*c[n, -29 + k] - 
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   c[n, -29 + k] + 55289798787813851430*k*n^7*c[n, -29 + k] - 
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   c[n, -28 + k] + 178696836017613120530186275451904*k*c[n, -28 + k] - 
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  29342610154181121136560*n^7*c[n, -28 + k] - 1399163039382140340750*k*n^7*
   c[n, -28 + k] + 232947764219762330310*k^2*n^7*c[n, -28 + k] - 
  45883650528135004455*n^8*c[n, -28 + k] - 1726862284040839034991367094673408*
   c[n, -27 + k] - 1817654470280754321119133282513408*k*c[n, -27 + k] + 
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   c[n, -27 + k] + 28897831194613642198080*k^2*n^7*c[n, -27 + k] - 
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  3381582224250873768153600*k^2*n^7*c[n, -6 + k] - 
  666069225988808469484800*n^8*c[n, -6 + k] - 3040604538586332799850496000000*
   c[n, -5 + k] + 1312815096654738595705500672000*k*c[n, -5 + k] + 
  5431047205676361233979671552000*k^2*c[n, -5 + k] - 
  2908954431768414958633994304000*k^3*c[n, -5 + k] - 
  2314728347855413809398594368000*k^4*c[n, -5 + k] + 
  1480660022571170424259694544000*k^5*c[n, -5 + k] + 
  288659289022946548555220768000*k^6*c[n, -5 + k] - 
  262433239965207178746788592000*k^7*c[n, -5 + k] - 
  3842674145985616198318944000*k^8*c[n, -5 + k] + 
  19017184997634020265433968000*k^9*c[n, -5 + k] - 
  1203490647570816530308512000*k^10*c[n, -5 + k] - 
  483626526469559099743248000*k^11*c[n, -5 + k] + 
  51550572543915692722464000*k^12*c[n, -5 + k] - 
  2415736722474451123619988480000*n*c[n, -5 + k] + 
  2342879400681109191936535296000*k*n*c[n, -5 + k] + 
  2735546551142322323850803200000*k^2*n*c[n, -5 + k] - 
  3700750781106038512172115200000*k^3*n*c[n, -5 + k] - 
  177717626793392657821238560000*k^4*n*c[n, -5 + k] + 
  1349277976049030684977449272000*k^5*n*c[n, -5 + k] - 
  258668883967164670779439536000*k^6*n*c[n, -5 + k] - 
  143395568244225333159894072000*k^7*n*c[n, -5 + k] + 
  42265233150783676460207424000*k^8*n*c[n, -5 + k] + 
  3187750993006751694971208000*k^9*n*c[n, -5 + k] - 
  1706315920650036478095984000*k^10*n*c[n, -5 + k] + 
  110958781031370241514424000*k^11*n*c[n, -5 + k] - 
  519171436757460155458732800000*n^2*c[n, -5 + k] + 
  1224873260296222167364574016000*k*n^2*c[n, -5 + k] - 
  152034165143672785892469120000*k^2*n^2*c[n, -5 + k] - 
  1231645249638702695654390352000*k^3*n^2*c[n, -5 + k] + 
  605860788124515006650502960000*k^4*n^2*c[n, -5 + k] + 
  223566696375115322641913496000*k^5*n^2*c[n, -5 + k] - 
  174704433158018121753582648000*k^6*n^2*c[n, -5 + k] + 
  8672065838370101704556736000*k^7*n^2*c[n, -5 + k] + 
  10140084328359375627190560000*k^8*n^2*c[n, -5 + k] - 
  1730825440495252821640008000*k^9*n^2*c[n, -5 + k] + 
  61263603718911603984744000*k^10*n^2*c[n, -5 + k] + 
  62683096507006366310999040000*n^3*c[n, -5 + k] + 
  238308058269188399527474944000*k*n^3*c[n, -5 + k] - 
  304532503460315522847589152000*k^2*n^3*c[n, -5 + k] - 
  78172558537101790479492048000*k^3*n^3*c[n, -5 + k] + 
  176185425210160851528113304000*k^4*n^3*c[n, -5 + k] - 
  30762880358660366204319120000*k^5*n^3*c[n, -5 + k] - 
  18102897995068954077117552000*k^6*n^3*c[n, -5 + k] + 
  6197541642869678729673552000*k^7*n^3*c[n, -5 + k] - 
  505345739047900612560072000*k^8*n^3*c[n, -5 + k] + 
  5281286251002375003984000*k^9*n^3*c[n, -5 + k] + 
  39577136973006129044109120000*n^4*c[n, -5 + k] + 
  3154237849159604273641536000*k*n^4*c[n, -5 + k] - 
  56185700247561980375483328000*k^2*n^4*c[n, -5 + k] + 
  22005849955075455418131168000*k^3*n^4*c[n, -5 + k] + 
  10914106335088671704258208000*k^4*n^4*c[n, -5 + k] - 
  6659143014090534477974208000*k^5*n^4*c[n, -5 + k] + 
  841731368486125412096640000*k^6*n^4*c[n, -5 + k] - 
  10113550038518843613312000*k^7*n^4*c[n, -5 + k] + 
  4632403045454747728027200000*n^5*c[n, -5 + k] - 
  4482938819709971724851928000*k*n^5*c[n, -5 + k] - 
  2214328948841922368641056000*k^2*n^5*c[n, -5 + k] + 
  2699107173328137003813816000*k^3*n^5*c[n, -5 + k] - 
  480966514282368013643568000*k^4*n^5*c[n, -5 + k] - 
  3019697148647228462064000*k^5*n^5*c[n, -5 + k] - 
  13848220169109723084480000*n^6*c[n, -5 + k] - 
  420254788491421828690968000*k*n^6*c[n, -5 + k] + 
  143256637862303904081756000*k^2*n^6*c[n, -5 + k] + 
  7442241504089722814448000*k^3*n^6*c[n, -5 + k] - 
  252008319868881790500000*k^4*n^6*c[n, -5 + k] - 
  22371154011186132667320000*n^7*c[n, -5 + k] - 
  1972072398127852000656000*k*n^7*c[n, -5 + k] + 
  198552009593664441000000*k^2*n^7*c[n, -5 + k] - 
  39108729162388450500000*n^8*c[n, -5 + k] - 8265254360163790549647360000*
   c[n, -4 + k] + 15058998883219276020869120000*k*c[n, -4 + k] + 
  4452962085795447006305280000*k^2*c[n, -4 + k] - 
  24013409809982931388425600000*k^3*c[n, -4 + k] + 
  11931891113980211610221440000*k^4*c[n, -4 + k] + 
  4988559353553252809971360000*k^5*c[n, -4 + k] - 
  4972868434309797681918400000*k^6*c[n, -4 + k] + 
  555980098859595588512160000*k^7*c[n, -4 + k] + 
  389072444004390575868480000*k^8*c[n, -4 + k] - 
  149442359864030564309280000*k^9*c[n, -4 + k] + 
  18872368922599121085120000*k^10*c[n, -4 + k] + 
  6522596586532209759840000*k^11*c[n, -4 + k] - 
  1883980600754758292160000*k^12*c[n, -4 + k] - 
  10139030606385013979842560000*n*c[n, -4 + k] + 
  14966694805230338153121280000*k*n*c[n, -4 + k] + 
  1546062253318047633753600000*k^2*n*c[n, -4 + k] - 
  16857363003793486078378880000*k^3*n*c[n, -4 + k] + 
  12121310781917214308257920000*k^4*n*c[n, -4 + k] + 
  1148696007666728696044000000*k^5*n*c[n, -4 + k] - 
  3757335853359413488754160000*k^6*n*c[n, -4 + k] + 
  666055294848161806291920000*k^7*n*c[n, -4 + k] + 
  184197109099845782924640000*k^8*n*c[n, -4 + k] - 
  34354112259566029008960000*k^9*n*c[n, -4 + k] + 
  6352773904342918475280000*k^10*n*c[n, -4 + k] - 
  2201639109282480772080000*k^11*n*c[n, -4 + k] - 
  4353303296222822236838400000*n^2*c[n, -4 + k] + 
  3603015230508341507433600000*k*n^2*c[n, -4 + k] - 
  2053876707904527127054080000*k^2*n^2*c[n, -4 + k] - 
  461240425891243642261440000*k^3*n^2*c[n, -4 + k] + 
  4280245853619352836979680000*k^4*n^2*c[n, -4 + k] - 
  1843306927751608313001480000*k^5*n^2*c[n, -4 + k] - 
  800823563395965024932520000*k^6*n^2*c[n, -4 + k] + 
  398288815536157219663920000*k^7*n^2*c[n, -4 + k] + 
  13384952476273620185040000*k^8*n^2*c[n, -4 + k] - 
  8899707410944458653160000*k^9*n^2*c[n, -4 + k] - 
  618381058395727689480000*k^10*n^2*c[n, -4 + k] - 
  418207398811573114248960000*n^3*c[n, -4 + k] - 
  339774931770953662715520000*k*n^3*c[n, -4 + k] - 
  976176731344708902240960000*k^2*n^3*c[n, -4 + k] + 
  1644551855422040945543520000*k^3*n^3*c[n, -4 + k] + 
  243054563429590726358880000*k^4*n^3*c[n, -4 + k] - 
  686208995174006613070920000*k^5*n^3*c[n, -4 + k] + 
  60516983453138435008080000*k^6*n^3*c[n, -4 + k] + 
  56912819351218819498080000*k^7*n^3*c[n, -4 + k] - 
  7621712092753223739120000*k^8*n^3*c[n, -4 + k] - 
  20168110768813987320000*k^9*n^3*c[n, -4 + k] + 
  174277575681492549651840000*n^4*c[n, -4 + k] - 
  231354998251173567059040000*k*n^4*c[n, -4 + k] - 
  24237823823967458832480000*k^2*n^4*c[n, -4 + k] + 
  329023645896602561511240000*k^3*n^4*c[n, -4 + k] - 
  126781550035510352285520000*k^4*n^4*c[n, -4 + k] - 
  50770621159638832941120000*k^5*n^4*c[n, -4 + k] + 
  22439383277546113572240000*k^6*n^4*c[n, -4 + k] - 
  1124984558647782229320000*k^7*n^4*c[n, -4 + k] + 
  37585785212500149069120000*n^5*c[n, -4 + k] - 
  19843319910602861560800000*k*n^5*c[n, -4 + k] + 
  44199678860550491895360000*k^2*n^5*c[n, -4 + k] + 
  6976958561413355568240000*k^3*n^5*c[n, -4 + k] - 
  17105751010444657318560000*k^4*n^5*c[n, -4 + k] + 
  2316123495930196231920000*k^5*n^5*c[n, -4 + k] - 
  926654699220857886240000*n^6*c[n, -4 + k] + 2706958997998823451600000*k*n^6*
   c[n, -4 + k] + 6359995434284027673840000*k^2*n^6*c[n, -4 + k] - 
  1791094151549820390120000*k^3*n^6*c[n, -4 + k] - 
  188589522785209076520000*k^4*n^6*c[n, -4 + k] - 
  621148958635103570880000*n^7*c[n, -4 + k] + 415408783046171162040000*k*n^7*
   c[n, -4 + k] + 148585684618649575440000*k^2*n^7*c[n, -4 + k] - 
  29266877273370370920000*n^8*c[n, -4 + k] + 36310203227004044083200000*
   c[n, -3 + k] - 171283973949324011059200000*k*c[n, -3 + k] + 
  793167565030957149734400000*k^2*c[n, -3 + k] + 
  219701898786802210489600000*k^3*c[n, -3 + k] - 
  1752554250130262848323200000*k^4*c[n, -3 + k] + 
  106092458287595211569600000*k^5*c[n, -3 + k] + 
  1056645583673455868528000000*k^6*c[n, -3 + k] - 
  87922987087811759640000000*k^7*c[n, -3 + k] - 
  232798768834810998355200000*k^8*c[n, -3 + k] + 
  12742479956925703886400000*k^9*c[n, -3 + k] + 
  21024756251171765539200000*k^10*c[n, -3 + k] - 
  476953038911972462400000*k^11*c[n, -3 + k] - 648012172790363990400000*k^12*
   c[n, -3 + k] - 19073457431010555955200000*n*c[n, -3 + k] + 
  655231088041131287193600000*k*n*c[n, -3 + k] + 
  1249977538157716355206400000*k^2*n*c[n, -3 + k] - 
  1622919502418364797392000000*k^3*n*c[n, -3 + k] - 
  1880758065791746537054400000*k^4*n*c[n, -3 + k] + 
  1300519189073652617675200000*k^5*n*c[n, -3 + k] + 
  807694223924604386988000000*k^6*n*c[n, -3 + k] - 
  373281004024315872271200000*k^7*n*c[n, -3 + k] - 
  117017174928516108105600000*k^8*n*c[n, -3 + k] + 
  38856793323703364438400000*k^9*n*c[n, -3 + k] + 
  5416007009476110300000000*k^10*n*c[n, -3 + k] - 
  1257889465301155394400000*k^11*n*c[n, -3 + k] + 
  118648709607039355660800000*n^2*c[n, -3 + k] + 
  1024004912983213961740800000*k*n^2*c[n, -3 + k] + 
  445873197788261609721600000*k^2*n^2*c[n, -3 + k] - 
  1737039683259095439338400000*k^3*n^2*c[n, -3 + k] - 
  538360237429132468639200000*k^4*n^2*c[n, -3 + k] + 
  908179512221098404954000000*k^5*n^2*c[n, -3 + k] + 
  120091858769026355216400000*k^6*n^2*c[n, -3 + k] - 
  166600407180921085152000000*k^7*n^2*c[n, -3 + k] - 
  625305420972063633600000*k^8*n^2*c[n, -3 + k] + 
  8950639981159904662800000*k^9*n^2*c[n, -3 + k] - 
  664713151847954866800000*k^10*n^2*c[n, -3 + k] + 
  174896622023985594470400000*n^3*c[n, -3 + k] + 
  587004497015664013238400000*k*n^3*c[n, -3 + k] - 
  42756168087500190945600000*k^2*n^3*c[n, -3 + k] - 
  677400990465197397122400000*k^3*n^3*c[n, -3 + k] + 
  946473148509669810000000*k^4*n^3*c[n, -3 + k] + 
  219559823500438920013200000*k^5*n^3*c[n, -3 + k] - 
  18908507991596011538400000*k^6*n^3*c[n, -3 + k] - 
  19122088174009168046400000*k^7*n^3*c[n, -3 + k] + 
  3156089564763074926800000*k^8*n^3*c[n, -3 + k] - 
  64352175050001049200000*k^9*n^3*c[n, -3 + k] + 
  90808176622334609692800000*n^4*c[n, -3 + k] + 
  174866719501950895749600000*k*n^4*c[n, -3 + k] - 
  50826438242024621882400000*k^2*n^4*c[n, -3 + k] - 
  123597344901282552786600000*k^3*n^4*c[n, -3 + k] + 
  18767658922220879154000000*k^4*n^4*c[n, -3 + k] + 
  19288712363630616590400000*k^5*n^4*c[n, -3 + k] - 
  3790466236253689614000000*k^6*n^4*c[n, -3 + k] + 
  35917000730120881800000*k^7*n^4*c[n, -3 + k] + 
  22761827307988116192000000*n^5*c[n, -3 + k] + 
  28646147588111073972000000*k*n^5*c[n, -3 + k] - 
  9374361567946750065600000*k^2*n^5*c[n, -3 + k] - 
  10337544506761564993200000*k^3*n^5*c[n, -3 + k] + 
  1843171269271308345600000*k^4*n^5*c[n, -3 + k] + 
  285698959170522670800000*k^5*n^5*c[n, -3 + k] + 
  2791127507533858584000000*n^6*c[n, -3 + k] + 2379497583106763332200000*k*
   n^6*c[n, -3 + k] - 541474876274146718400000*k^2*n^6*c[n, -3 + k] - 
  300313712154959893800000*k^3*n^6*c[n, -3 + k] - 
  2778762208329043200000*k^4*n^6*c[n, -3 + k] + 
  131860101423715610400000*n^7*c[n, -3 + k] + 73322322663341606400000*k*n^7*
   c[n, -3 + k] + 2189327800501670400000*k^2*n^7*c[n, -3 + k] - 
  431231233432147200000*n^8*c[n, -3 + k] - 174937428782678016000000*
   c[n, -2 + k] - 6557599742363602944000000*k*c[n, -2 + k] - 
  12856722388449169920000000*k^2*c[n, -2 + k] + 
  13753887648318707840000000*k^3*c[n, -2 + k] + 
  37355166103335644288000000*k^4*c[n, -2 + k] - 
  575709658149622016000000*k^5*c[n, -2 + k] - 29919640759787302736000000*k^6*
   c[n, -2 + k] - 8821218338488586736000000*k^7*c[n, -2 + k] + 
  5798254095984662208000000*k^8*c[n, -2 + k] + 2338515558413647200000000*k^9*
   c[n, -2 + k] - 190243863831749904000000*k^10*c[n, -2 + k] - 
  139186132482261744000000*k^11*c[n, -2 + k] - 10565093717687520000000*k^12*
   c[n, -2 + k] - 764530070016380928000000*n*c[n, -2 + k] - 
  15985087841365512704000000*k*n*c[n, -2 + k] - 
  25945657617128112512000000*k^2*n*c[n, -2 + k] + 
  24980277262199821856000000*k^3*n*c[n, -2 + k] + 
  55688944820405737616000000*k^4*n*c[n, -2 + k] + 
  1167288620015292816000000*k^5*n*c[n, -2 + k] - 
  26577733513105532592000000*k^6*n*c[n, -2 + k] - 
  5812936646486797656000000*k^7*n*c[n, -2 + k] + 
  3467930141725573104000000*k^8*n*c[n, -2 + k] + 
  910951427782839168000000*k^9*n*c[n, -2 + k] - 
  70760926795564368000000*k^10*n*c[n, -2 + k] - 
  17349139357692120000000*k^11*n*c[n, -2 + k] - 
  1248139826886491136000000*n^2*c[n, -2 + k] - 16530312837592245120000000*k*
   n^2*c[n, -2 + k] - 21127605021904079520000000*k^2*n^2*c[n, -2 + k] + 
  19696469999510008896000000*k^3*n^2*c[n, -2 + k] + 
  33650883363016655064000000*k^4*n^2*c[n, -2 + k] + 
  846653960344526496000000*k^5*n^2*c[n, -2 + k] - 
  9545910867914430780000000*k^6*n^2*c[n, -2 + k] - 
  1412504274503487384000000*k^7*n^2*c[n, -2 + k] + 
  702441936747659592000000*k^8*n^2*c[n, -2 + k] + 
  81318993445525176000000*k^9*n^2*c[n, -2 + k] - 
  9637482716989380000000*k^10*n^2*c[n, -2 + k] - 
  1073651211918529920000000*n^3*c[n, -2 + k] - 9440444261182536288000000*k*
   n^3*c[n, -2 + k] - 8756517790373784240000000*k^2*n^3*c[n, -2 + k] + 
  8465017694926934184000000*k^3*n^3*c[n, -2 + k] + 
  9694920714777920412000000*k^4*n^3*c[n, -2 + k] - 
  261627890207871384000000*k^5*n^3*c[n, -2 + k] - 
  1674604954012977720000000*k^6*n^3*c[n, -2 + k] - 
  109357300152262008000000*k^7*n^3*c[n, -2 + k] + 
  51288751041437052000000*k^8*n^3*c[n, -2 + k] - 
  1926370061189640000000*k^9*n^3*c[n, -2 + k] - 
  550638258290089632000000*n^4*c[n, -2 + k] - 3234539278411454592000000*k*n^4*
   c[n, -2 + k] - 1934282220053938056000000*k^2*n^4*c[n, -2 + k] + 
  2065895353499837400000000*k^3*n^4*c[n, -2 + k] + 
  1301780098142974458000000*k^4*n^4*c[n, -2 + k] - 
  158315836059316098000000*k^5*n^4*c[n, -2 + k] - 
  117325319880125610000000*k^6*n^4*c[n, -2 + k] + 
  3908155484668050000000*k^7*n^4*c[n, -2 + k] - 
  175067991089233632000000*n^5*c[n, -2 + k] - 664258093267095000000000*k*n^5*
   c[n, -2 + k] - 198984867609282300000000*k^2*n^5*c[n, -2 + k] + 
  271324403643643416000000*k^3*n^5*c[n, -2 + k] + 
  59667415016694768000000*k^4*n^5*c[n, -2 + k] - 
  16237120818286764000000*k^5*n^5*c[n, -2 + k] - 
  33780579524400384000000*n^6*c[n, -2 + k] - 75279848586641784000000*k*n^6*
   c[n, -2 + k] - 2048894565143076000000*k^2*n^6*c[n, -2 + k] + 
  15064690161571686000000*k^3*n^6*c[n, -2 + k] - 
  1047958820886582000000*k^4*n^6*c[n, -2 + k] - 
  3606645443235120000000*n^7*c[n, -2 + k] - 3607295247601812000000*k*n^7*
   c[n, -2 + k] + 825664525547004000000*k^2*n^7*c[n, -2 + k] - 
  162630891395622000000*n^8*c[n, -2 + k] - 6034519727308800000000*
   c[n, -1 + k] - 76029198215546880000000*k*c[n, -1 + k] - 
  163702708555978240000000*k^2*c[n, -1 + k] - 56124153004911360000000*k^3*
   c[n, -1 + k] + 157170962342873600000000*k^4*c[n, -1 + k] + 
  167913930537168000000000*k^5*c[n, -1 + k] + 29261127592609280000000*k^6*
   c[n, -1 + k] - 35246858875453440000000*k^7*c[n, -1 + k] - 
  18233165974694400000000*k^8*c[n, -1 + k] - 739287363035520000000*k^9*
   c[n, -1 + k] + 1394078382351360000000*k^10*c[n, -1 + k] + 
  344874172262400000000*k^11*c[n, -1 + k] + 24918689664000000000*k^12*
   c[n, -1 + k] + 20088976563701760000000*n*c[n, -1 + k] - 
  41801989856814080000000*k*n*c[n, -1 + k] - 188416792063395840000000*k^2*n*
   c[n, -1 + k] - 117022721342213120000000*k^3*n*c[n, -1 + k] + 
  102177124310612160000000*k^4*n*c[n, -1 + k] + 
  126173256521398240000000*k^5*n*c[n, -1 + k] + 
  20733408247521600000000*k^6*n*c[n, -1 + k] - 19684982470973760000000*k^7*n*
   c[n, -1 + k] - 7864821937316160000000*k^8*n*c[n, -1 + k] + 
  24789726142560000000*k^9*n*c[n, -1 + k] + 375231809620800000000*k^10*n*
   c[n, -1 + k] + 42397338297600000000*k^11*n*c[n, -1 + k] + 
  42015343808555520000000*n^2*c[n, -1 + k] + 29942130357125760000000*k*n^2*
   c[n, -1 + k] - 90015703999197600000000*k^2*n^2*c[n, -1 + k] - 
  90726502996651440000000*k^3*n^2*c[n, -1 + k] + 
  16125051913170000000000*k^4*n^2*c[n, -1 + k] + 
  38719661408074800000000*k^5*n^2*c[n, -1 + k] + 
  6686742783693600000000*k^6*n^2*c[n, -1 + k] - 
  3748394382536880000000*k^7*n^2*c[n, -1 + k] - 
  1017864359090640000000*k^8*n^2*c[n, -1 + k] + 
  74522456276400000000*k^9*n^2*c[n, -1 + k] + 26223900595200000000*k^10*n^2*
   c[n, -1 + k] + 31027211795848320000000*n^3*c[n, -1 + k] + 
  34508639092608000000000*k*n^3*c[n, -1 + k] - 24690891818539440000000*k^2*
   n^3*c[n, -1 + k] - 35571784694400720000000*k^3*n^3*c[n, -1 + k] - 
  1717283527504200000000*k^4*n^3*c[n, -1 + k] + 
  6971537854360080000000*k^5*n^3*c[n, -1 + k] + 
  1254879541548720000000*k^6*n^3*c[n, -1 + k] - 
  304685604665280000000*k^7*n^3*c[n, -1 + k] - 41495048436600000000*k^8*n^3*
   c[n, -1 + k] + 6331994856000000000*k^9*n^3*c[n, -1 + k] + 
  12063721576476960000000*n^4*c[n, -1 + k] + 13151024715936240000000*k*n^4*
   c[n, -1 + k] - 4852659867407640000000*k^2*n^4*c[n, -1 + k] - 
  7635173606892900000000*k^3*n^4*c[n, -1 + k] - 
  502113681847800000000*k^4*n^4*c[n, -1 + k] + 822062652140160000000*k^5*n^4*
   c[n, -1 + k] + 100077445833840000000*k^6*n^4*c[n, -1 + k] - 
  14117809553100000000*k^7*n^4*c[n, -1 + k] + 2725627632614640000000*n^5*
   c[n, -1 + k] + 2492189899150320000000*k*n^5*c[n, -1 + k] - 
  763514264953260000000*k^2*n^5*c[n, -1 + k] - 860180763180420000000*k^3*n^5*
   c[n, -1 + k] + 8581936448700000000*k^4*n^5*c[n, -1 + k] + 
  47549241615060000000*k^5*n^5*c[n, -1 + k] + 359648902927080000000*n^6*
   c[n, -1 + k] + 237237991625340000000*k*n^6*c[n, -1 + k] - 
  81243978747300000000*k^2*n^6*c[n, -1 + k] - 39870652159980000000*k^3*n^6*
   c[n, -1 + k] + 4903755304140000000*k^4*n^6*c[n, -1 + k] + 
  25657856749980000000*n^7*c[n, -1 + k] + 9038130175620000000*k*n^7*
   c[n, -1 + k] - 3863564785080000000*k^2*n^7*c[n, -1 + k] + 
  761005184940000000*n^8*c[n, -1 + k] + 1860930699264000000000*c[n, k] - 
  104023535616000000000*k*c[n, k] - 16009335241728000000000*k^2*c[n, k] - 
  23374115288064000000000*k^3*c[n, k] - 523819523328000000000*k^4*c[n, k] + 
  21126318432192000000000*k^5*c[n, k] + 16556376529344000000000*k^6*c[n, k] + 
  3491045934336000000000*k^7*c[n, k] - 1576573517952000000000*k^8*c[n, k] - 
  1129351139136000000000*k^9*c[n, k] - 282869775936000000000*k^10*c[n, k] - 
  33093194112000000000*k^11*c[n, k] - 1490379264000000000*k^12*c[n, k] + 
  2466933460992000000000*n*c[n, k] + 2514651855360000000000*k*n*c[n, k] - 
  12953983374720000000000*k^2*n*c[n, k] - 24060964630080000000000*k^3*n*
   c[n, k] - 7304988651264000000000*k^4*n*c[n, k] + 
  10556018825856000000000*k^5*n*c[n, k] + 8909037088416000000000*k^6*n*
   c[n, k] + 1707621725376000000000*k^7*n*c[n, k] - 
  605341864512000000000*k^8*n*c[n, k] - 330184698624000000000*k^9*n*c[n, k] - 
  53966971872000000000*k^10*n*c[n, k] - 2980758528000000000*k^11*n*c[n, k] + 
  711584100864000000000*n^2*c[n, k] + 1597072239360000000000*k*n^2*c[n, k] - 
  3481592864544000000000*k^2*n^2*c[n, k] - 8762820868512000000000*k^3*n^2*
   c[n, k] - 4008160288800000000000*k^4*n^2*c[n, k] + 
  1827905225904000000000*k^5*n^2*c[n, k] + 1811730193344000000000*k^6*n^2*
   c[n, k] + 315273207744000000000*k^7*n^2*c[n, k] - 
  70946210016000000000*k^8*n^2*c[n, k] - 26280636624000000000*k^9*n^2*
   c[n, k] - 1956122784000000000*k^10*n^2*c[n, k] - 
  319250865024000000000*n^3*c[n, k] + 95240836800000000000*k*n^3*c[n, k] - 
  151962664896000000000*k^2*n^3*c[n, k] - 1282189916016000000000*k^3*n^3*
   c[n, k] - 801017656416000000000*k^4*n^3*c[n, k] + 
  95480062848000000000*k^5*n^3*c[n, k] + 158645800368000000000*k^6*n^3*
   c[n, k] + 23310783936000000000*k^7*n^3*c[n, k] - 
  2654738064000000000*k^8*n^3*c[n, k] - 419169168000000000*k^9*n^3*c[n, k] - 
  258917873760000000000*n^4*c[n, k] - 147267178272000000000*k*n^4*c[n, k] + 
  104617286640000000000*k^2*n^4*c[n, k] - 24463207224000000000*k^3*n^4*
   c[n, k] - 70119111888000000000*k^4*n^4*c[n, k] - 
  7640310744000000000*k^5*n^4*c[n, k] + 4474217088000000000*k^6*n^4*c[n, k] + 
  495381744000000000*k^7*n^4*c[n, k] - 70410622464000000000*n^5*c[n, k] - 
  44411305968000000000*k*n^5*c[n, k] + 23627385720000000000*k^2*n^5*c[n, k] + 
  11290293216000000000*k^3*n^5*c[n, k] - 3015079848000000000*k^4*n^5*
   c[n, k] - 879523920000000000*k^5*n^5*c[n, k] - 
  9488069136000000000*n^6*c[n, k] - 4952703528000000000*k*n^6*c[n, k] + 
  2167875414000000000*k^2*n^6*c[n, k] + 792341352000000000*k^3*n^6*c[n, k] - 
  100029006000000000*k^4*n^6*c[n, k] - 625709448000000000*n^7*c[n, k] - 
  195832728000000000*k*n^7*c[n, k] + 78810732000000000*k^2*n^7*c[n, k] - 
  15523326000000000*n^8*c[n, k] + 8214495717678058962232934400*
   c[2 + n, -29 + k] + 8786613784615832046139269120*k*c[2 + n, -29 + k] - 
  8424219974416545424745134080*k^2*c[2 + n, -29 + k] - 
  10265713333240863084311162880*k^3*c[2 + n, -29 + k] - 
  417752729982878564836615680*k^4*c[2 + n, -29 + k] + 
  1766945767786308735348199680*k^5*c[2 + n, -29 + k] + 
  370790977500417695613361920*k^6*c[2 + n, -29 + k] - 
  26590442658284480266897920*k^7*c[2 + n, -29 + k] - 
  5185616702946976174556160*k^8*c[2 + n, -29 + k] + 
  643597783299686781676800*k^9*c[2 + n, -29 + k] - 
  28310199553063519453440*k^10*c[2 + n, -29 + k] + 
  566183101389277363200*k^11*c[2 + n, -29 + k] - 
  4345946921538984960*k^12*c[2 + n, -29 + k] + 8580054234322864760635883520*n*
   c[2 + n, -29 + k] + 7224322564968071130585331200*k*n*c[2 + n, -29 + k] - 
  7213264096243796512204590720*k^2*n*c[2 + n, -29 + k] - 
  5685520315497244979624786880*k^3*n*c[2 + n, -29 + k] + 
  783342006829728653553635520*k^4*n*c[2 + n, -29 + k] + 
  761805723389858003945799360*k^5*n*c[2 + n, -29 + k] + 
  1122023790047607235511040*k^6*n*c[2 + n, -29 + k] - 
  15869762346653487263390400*k^7*n*c[2 + n, -29 + k] + 
  1523689676446261908893760*k^8*n*c[2 + n, -29 + k] - 
  61509986307112307964480*k^9*n*c[2 + n, -29 + k] + 
  1172332069240287288960*k^10*n*c[2 + n, -29 + k] - 
  8691893843077969920*k^11*n*c[2 + n, -29 + k] + 
  3567020777402176798806735360*n^2*c[2 + n, -29 + k] + 
  2148470808497923961935992960*k*n^2*c[2 + n, -29 + k] - 
  2345309607838013879888874240*k^2*n^2*c[2 + n, -29 + k] - 
  969110406808185283359303600*k^3*n^2*c[2 + n, -29 + k] + 
  341048632082885066684711520*k^4*n^2*c[2 + n, -29 + k] + 
  54590623562116127145032640*k^5*n^2*c[2 + n, -29 + k] - 
  15073742749905399884014080*k^6*n^2*c[2 + n, -29 + k] + 
  1193510925432744264003600*k^7*n^2*c[2 + n, -29 + k] - 
  44388702011172233504160*k^8*n^2*c[2 + n, -29 + k] + 
  802910009664419833440*k^9*n^2*c[2 + n, -29 + k] - 
  5704055334519917760*k^10*n^2*c[2 + n, -29 + k] + 
  736646662788390652782182400*n^3*c[2 + n, -29 + k] + 
  257925233750003860639939200*k*n^3*c[2 + n, -29 + k] - 
  340659252379722323571984360*k^2*n^3*c[2 + n, -29 + k] - 
  32202383824366798026387600*k^3*n^3*c[2 + n, -29 + k] + 
  32284301989717011474897480*k^4*n^3*c[2 + n, -29 + k] - 
  4888994639490660996772200*k^5*n^3*c[2 + n, -29 + k] + 
  326319130717945462836720*k^6*n^3*c[2 + n, -29 + k] - 
  11058715132846249593960*k^7*n^3*c[2 + n, -29 + k] + 
  185708027158379898480*k^8*n^3*c[2 + n, -29 + k] - 
  1222297571682839520*k^9*n^3*c[2 + n, -29 + k] + 
  75281090520300768884963520*n^4*c[2 + n, -29 + k] + 
  6366778538498649917526960*k*n^4*c[2 + n, -29 + k] - 
  18113363033781455314576560*k^2*n^4*c[2 + n, -29 + k] + 
  3264030186914057331951720*k^3*n^4*c[2 + n, -29 + k] - 
  283792733304049931866200*k^4*n^4*c[2 + n, -29 + k] + 
  13502734116331251616920*k^5*n^4*c[2 + n, -29 + k] - 
  326081858858290444680*k^6*n^4*c[2 + n, -29 + k] + 
  3077859719343926880*k^7*n^4*c[2 + n, -29 + k] + 
  2991039250974847768449000*n^5*c[2 + n, -29 + k] - 
  599016111073426099339200*k*n^5*c[2 + n, -29 + k] + 
  82171462180255558188210*k^2*n^5*c[2 + n, -29 + k] - 
  5665370734193519232090*k^3*n^5*c[2 + n, -29 + k] + 
  188792093737503889470*k^4*n^5*c[2 + n, -29 + k] - 
  2441701619833689630*k^5*n^5*c[2 + n, -29 + k] - 
  7211789382231174957840*n^6*c[2 + n, -29 + k] + 
  793145325954925223280*k*n^6*c[2 + n, -29 + k] - 
  41676505971375897180*k^2*n^6*c[2 + n, -29 + k] + 
  789721450304049900*k^3*n^6*c[2 + n, -29 + k] + 
  2636278430986665270*n^7*c[2 + n, -29 + k] - 90906152792643630*k*n^7*
   c[2 + n, -29 + k] + 99160065331604052903596851200*c[2 + n, -28 + k] + 
  106457242357717698011400105984*k*c[2 + n, -28 + k] - 
  101149067149598556926374772736*k^2*c[2 + n, -28 + k] - 
  124237450450767380789132259840*k^3*c[2 + n, -28 + k] - 
  5684107097238670823115545280*k^4*c[2 + n, -28 + k] + 
  21217091326238236281328045728*k^5*c[2 + n, -28 + k] + 
  4579524250400922732648322560*k^6*c[2 + n, -28 + k] - 
  287486906085740788593747552*k^7*c[2 + n, -28 + k] - 
  62806940205913944372772224*k^8*c[2 + n, -28 + k] + 
  7296552954991360622243808*k^9*c[2 + n, -28 + k] - 
  307133739113641039206144*k^10*c[2 + n, -28 + k] + 
  5902312986071033967072*k^11*c[2 + n, -28 + k] - 
  43593510448001232576*k^12*c[2 + n, -28 + k] + 
  104288484798585381726440386560*n*c[2 + n, -28 + k] + 
  88374121723417166325714451968*k*n*c[2 + n, -28 + k] - 
  87368761041416452700032588416*k^2*n*c[2 + n, -28 + k] - 
  69843806274120448166768873088*k^3*n*c[2 + n, -28 + k] + 
  9017199735956714831922949824*k^4*n*c[2 + n, -28 + k] + 
  9345859563497046753184034760*k^5*n*c[2 + n, -28 + k] + 
  102231719882864603777316744*k^6*n*c[2 + n, -28 + k] - 
  187582287050380450349795376*k^7*n*c[2 + n, -28 + k] + 
  16966011258714644767437264*k^8*n*c[2 + n, -28 + k] - 
  664069736322648293248152*k^9*n*c[2 + n, -28 + k] + 
  12515322501567894500712*k^10*n*c[2 + n, -28 + k] - 
  93446221326701215104*k^11*n*c[2 + n, -28 + k] + 
  43811437266902770830241344000*n^2*c[2 + n, -28 + k] + 
  26752099981670409588001165440*k*n^2*c[2 + n, -28 + k] - 
  28792832092633225217788955136*k^2*n^2*c[2 + n, -28 + k] - 
  12325023264485895679061059248*k^3*n^2*c[2 + n, -28 + k] + 
  4090502758770102120192247860*k^4*n^2*c[2 + n, -28 + k] + 
  740174122447962945415716312*k^5*n^2*c[2 + n, -28 + k] - 
  172836088837235320346665956*k^6*n^2*c[2 + n, -28 + k] + 
  12679916743015774639462080*k^7*n^2*c[2 + n, -28 + k] - 
  456195062509262180671284*k^8*n^2*c[2 + n, -28 + k] + 
  8303306633668719947736*k^9*n^2*c[2 + n, -28 + k] - 
  61625097233505855324*k^10*n^2*c[2 + n, -28 + k] + 
  9206655430191951288439134720*n^3*c[2 + n, -28 + k] + 
  3350627442147645828237640320*k*n^3*c[2 + n, -28 + k] - 
  4291434748127830256893339992*k^2*n^3*c[2 + n, -28 + k] - 
  500728019800580884756646676*k^3*n^3*c[2 + n, -28 + k] + 
  410026745979536428607304636*k^4*n^3*c[2 + n, -28 + k] - 
  51020318119462763480720388*k^5*n^3*c[2 + n, -28 + k] + 
  2919930390106060539770982*k^6*n^3*c[2 + n, -28 + k] - 
  92119478774636245597650*k^7*n^3*c[2 + n, -28 + k] + 
  1595291300497431548550*k^8*n^3*c[2 + n, -28 + k] - 
  12046335649110477990*k^9*n^3*c[2 + n, -28 + k] + 
  973838138500562102088310080*n^4*c[2 + n, -28 + k] + 
  106992700082155841061743856*k*n^4*c[2 + n, -28 + k] - 
  246344298967465271295667632*k^2*n^4*c[2 + n, -28 + k] + 
  33667477853775505111180908*k^3*n^4*c[2 + n, -28 + k] - 
  808942202719653586762971*k^4*n^4*c[2 + n, -28 + k] - 
  68474063458366087938219*k^5*n^4*c[2 + n, -28 + k] + 
  3689894124147561939423*k^6*n^4*c[2 + n, -28 + k] - 
  51397872810056892405*k^7*n^4*c[2 + n, -28 + k] + 
  42782033701499331791780280*n^5*c[2 + n, -28 + k] - 
  6046034521820309247421188*k*n^5*c[2 + n, -28 + k] - 
  575093070851874456605310*k^2*n^5*c[2 + n, -28 + k] + 
  94353466417975262987199*k^3*n^5*c[2 + n, -28 + k] - 
  3891666588041799280134*k^4*n^5*c[2 + n, -28 + k] + 
  9600372338682006045*k^5*n^5*c[2 + n, -28 + k] + 
  183456153117794127427740*n^6*c[2 + n, -28 + k] - 
  21074724950559498505260*k*n^6*c[2 + n, -28 + k] + 
  1004083126333522839090*k^2*n^6*c[2 + n, -28 + k] + 
  26042709653298490185*k^3*n^6*c[2 + n, -28 + k] - 
  8368959399554000115*k^4*n^6*c[2 + n, -28 + k] - 
  52379465623195416030*n^7*c[2 + n, -28 + k] - 8316800777661275835*k*n^7*
   c[2 + n, -28 + k] + 6593725587527394030*k^2*n^7*c[2 + n, -28 + k] - 
  1298764130876607915*n^8*c[2 + n, -28 + k] - 
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  89188238561504426110800000*k^6*n^2*c[2 + n, -4 + k] + 
  22895547357330965426400000*k^7*n^2*c[2 + n, -4 + k] + 
  4489246898258439312000000*k^8*n^2*c[2 + n, -4 + k] - 
  1258077003687206960400000*k^9*n^2*c[2 + n, -4 + k] + 
  48472576261596946800000*k^10*n^2*c[2 + n, -4 + k] + 
  3543967472165383411200000*n^3*c[2 + n, -4 + k] - 
  159857382421824482428800000*k*n^3*c[2 + n, -4 + k] - 
  123829628021754655324800000*k^2*n^3*c[2 + n, -4 + k] + 
  150443009772309156249600000*k^3*n^3*c[2 + n, -4 + k] + 
  65597856367437994215600000*k^4*n^3*c[2 + n, -4 + k] - 
  44260338562908260868000000*k^5*n^3*c[2 + n, -4 + k] - 
  4857085593180596152800000*k^6*n^3*c[2 + n, -4 + k] + 
  3863710726198043961600000*k^7*n^3*c[2 + n, -4 + k] - 
  345305535453359989200000*k^8*n^3*c[2 + n, -4 + k] + 
  2457401677396221600000*k^9*n^3*c[2 + n, -4 + k] - 
  9182180184042893788800000*n^4*c[2 + n, -4 + k] - 
  45985696141843898712000000*k*n^4*c[2 + n, -4 + k] - 
  9619863807994734693600000*k^2*n^4*c[2 + n, -4 + k] + 
  28570158771453531345600000*k^3*n^4*c[2 + n, -4 + k] + 
  1420710328371818440800000*k^4*n^4*c[2 + n, -4 + k] - 
  4303319334111465494400000*k^5*n^4*c[2 + n, -4 + k] + 
  537075742197851870400000*k^6*n^4*c[2 + n, -4 + k] + 
  4658602245986145600000*k^7*n^4*c[2 + n, -4 + k] - 
  3167434558612233936000000*n^5*c[2 + n, -4 + k] - 
  6537892488282010058400000*k*n^5*c[2 + n, -4 + k] + 
  626909257071734799600000*k^2*n^5*c[2 + n, -4 + k] + 
  2093449214460746368800000*k^3*n^5*c[2 + n, -4 + k] - 
  299246426695034859600000*k^4*n^5*c[2 + n, -4 + k] - 
  32729271585044234400000*k^5*n^5*c[2 + n, -4 + k] - 
  416992865454245808000000*n^6*c[2 + n, -4 + k] - 
  416956984875597308400000*k*n^6*c[2 + n, -4 + k] + 
  92335386524835673800000*k^2*n^6*c[2 + n, -4 + k] + 
  30187304998924435200000*k^3*n^6*c[2 + n, -4 + k] + 
  642096942632145000000*k^4*n^6*c[2 + n, -4 + k] - 
  19306105137006480000000*n^7*c[2 + n, -4 + k] - 
  7156755496920744000000*k*n^7*c[2 + n, -4 + k] - 
  505894560861690000000*k^2*n^7*c[2 + n, -4 + k] + 
  99645898351545000000*n^8*c[2 + n, -4 + k] + 717544245947203584000000*
   c[2 + n, -3 + k] - 1522725131835506688000000*k*c[2 + n, -3 + k] - 
  3655384421069269760000000*k^2*c[2 + n, -3 + k] + 
  3007537720807972416000000*k^3*c[2 + n, -3 + k] + 
  5129563857360943552000000*k^4*c[2 + n, -3 + k] - 
  1701507725140767120000000*k^5*c[2 + n, -3 + k] - 
  2659704857451215840000000*k^6*c[2 + n, -3 + k] + 
  200608618202892144000000*k^7*c[2 + n, -3 + k] + 
  491493646364487264000000*k^8*c[2 + n, -3 + k] + 
  25539136341240528000000*k^9*c[2 + n, -3 + k] - 
  29707952226688800000000*k^10*c[2 + n, -3 + k] - 
  3416243685220080000000*k^11*c[2 + n, -3 + k] + 
  159106383928800000000*k^12*c[2 + n, -3 + k] + 
  907138752369807360000000*n*c[2 + n, -3 + k] - 
  2974053819530509568000000*k*n*c[2 + n, -3 + k] - 
  3718967324592196992000000*k^2*n*c[2 + n, -3 + k] + 
  5562636323291461888000000*k^3*n*c[2 + n, -3 + k] + 
  4159177843427944848000000*k^4*n*c[2 + n, -3 + k] - 
  3208099326283072808000000*k^5*n*c[2 + n, -3 + k] - 
  1870823748548103984000000*k^6*n*c[2 + n, -3 + k] + 
  576679286235269592000000*k^7*n*c[2 + n, -3 + k] + 
  279828916061104944000000*k^8*n*c[2 + n, -3 + k] - 
  26096606034322104000000*k^9*n*c[2 + n, -3 + k] - 
  11797160320501776000000*k^10*n*c[2 + n, -3 + k] - 
  56876722155000000000*k^11*n*c[2 + n, -3 + k] + 
  282860692249494528000000*n^2*c[2 + n, -3 + k] - 
  2184885632137815552000000*k*n^2*c[2 + n, -3 + k] - 
  1015552488190701840000000*k^2*n^2*c[2 + n, -3 + k] + 
  3363972084364819656000000*k^3*n^2*c[2 + n, -3 + k] + 
  756031475705586072000000*k^4*n^2*c[2 + n, -3 + k] - 
  1668594186611861472000000*k^5*n^2*c[2 + n, -3 + k] - 
  290084537653693416000000*k^6*n^2*c[2 + n, -3 + k] + 
  252393351532331976000000*k^7*n^2*c[2 + n, -3 + k] + 
  28138368597889896000000*k^8*n^2*c[2 + n, -3 + k] - 
  9256676647998384000000*k^9*n^2*c[2 + n, -3 + k] - 
  171005767443720000000*k^10*n^2*c[2 + n, -3 + k] - 
  111948454020431808000000*n^3*c[2 + n, -3 + k] - 
  786692095839596736000000*k*n^3*c[2 + n, -3 + k] + 
  152118605103363288000000*k^2*n^3*c[2 + n, -3 + k] + 
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  154803124153910088000000*k^4*n^3*c[2 + n, -3 + k] - 
  323194137287173992000000*k^5*n^3*c[2 + n, -3 + k] + 
  31316313976500672000000*k^6*n^3*c[2 + n, -3 + k] + 
  29109013262271720000000*k^7*n^3*c[2 + n, -3 + k] - 
  2341310080632336000000*k^8*n^3*c[2 + n, -3 + k] - 
  29138163650640000000*k^9*n^3*c[2 + n, -3 + k] - 
  103760801666149680000000*n^4*c[2 + n, -3 + k] - 
  137857556108697912000000*k*n^4*c[2 + n, -3 + k] + 
  132417625257934308000000*k^2*n^4*c[2 + n, -3 + k] + 
  84889621106204526000000*k^3*n^4*c[2 + n, -3 + k] - 
  60584716346565024000000*k^4*n^4*c[2 + n, -3 + k] - 
  17794060992402300000000*k^5*n^4*c[2 + n, -3 + k] + 
  7184490512454972000000*k^6*n^4*c[2 + n, -3 + k] - 
  64445087762154000000*k^7*n^4*c[2 + n, -3 + k] - 
  29905184253901320000000*n^5*c[2 + n, -3 + k] - 
  6480794955879720000000*k*n^5*c[2 + n, -3 + k] + 
  25344837386254638000000*k^2*n^5*c[2 + n, -3 + k] - 
  1653182124035166000000*k^3*n^5*c[2 + n, -3 + k] - 
  4889055508326702000000*k^4*n^5*c[2 + n, -3 + k] + 
  598057904666286000000*k^5*n^5*c[2 + n, -3 + k] - 
  3936478614976908000000*n^6*c[2 + n, -3 + k] + 
  1262824894304118000000*k*n^6*c[2 + n, -3 + k] + 
  1666711330371810000000*k^2*n^6*c[2 + n, -3 + k] - 
  577378380302442000000*k^3*n^6*c[2 + n, -3 + k] - 
  370102558914000000*k^4*n^6*c[2 + n, -3 + k] - 
  200667901986162000000*n^7*c[2 + n, -3 + k] + 139282112936070000000*k*n^7*
   c[2 + n, -3 + k] + 291595955508000000*k^2*n^7*c[2 + n, -3 + k] - 
  57435566994000000*n^8*c[2 + n, -3 + k] + 4364177965056000000000*
   c[2 + n, -2 + k] + 3089688942182400000000*k*c[2 + n, -2 + k] - 
  13428646703308800000000*k^2*c[2 + n, -2 + k] - 
  12442749552691200000000*k^3*c[2 + n, -2 + k] + 
  10305791532288000000000*k^4*c[2 + n, -2 + k] + 
  13136177934086400000000*k^5*c[2 + n, -2 + k] - 
  681167359785600000000*k^6*c[2 + n, -2 + k] - 4126316288054400000000*k^7*
   c[2 + n, -2 + k] - 730175073177600000000*k^8*c[2 + n, -2 + k] + 
  395842066905600000000*k^9*c[2 + n, -2 + k] + 120075154531200000000*k^10*
   c[2 + n, -2 + k] - 769593052800000000*k^11*c[2 + n, -2 + k] - 
  1929024979200000000*k^12*c[2 + n, -2 + k] + 8238028143820800000000*n*
   c[2 + n, -2 + k] + 5957863517696000000000*k*n*c[2 + n, -2 + k] - 
  17911959770598400000000*k^2*n*c[2 + n, -2 + k] - 
  13797469323180800000000*k^3*n*c[2 + n, -2 + k] + 
  12796121342896000000000*k^4*n*c[2 + n, -2 + k] + 
  12275718297168000000000*k^5*n*c[2 + n, -2 + k] - 
  1439394032649600000000*k^6*n*c[2 + n, -2 + k] - 
  2970527618318400000000*k^7*n*c[2 + n, -2 + k] - 
  249368406883200000000*k^8*n*c[2 + n, -2 + k] + 
  208051077484800000000*k^9*n*c[2 + n, -2 + k] + 
  29388826684800000000*k^10*n*c[2 + n, -2 + k] - 
  1677946881600000000*k^11*n*c[2 + n, -2 + k] + 
  6595432464691200000000*n^2*c[2 + n, -2 + k] + 
  4446167662310400000000*k*n^2*c[2 + n, -2 + k] - 
  10168469753126400000000*k^2*n^2*c[2 + n, -2 + k] - 
  6104050825315200000000*k^3*n^2*c[2 + n, -2 + k] + 
  6177982635446400000000*k^4*n^2*c[2 + n, -2 + k] + 
  4186640020780800000000*k^5*n^2*c[2 + n, -2 + k] - 
  811158470229600000000*k^6*n^2*c[2 + n, -2 + k] - 
  709779574411200000000*k^7*n^2*c[2 + n, -2 + k] + 
  5155280380800000000*k^8*n^2*c[2 + n, -2 + k] + 
  26313238670400000000*k^9*n^2*c[2 + n, -2 + k] - 
  191166544800000000*k^10*n^2*c[2 + n, -2 + k] + 
  2899291479552000000000*n^3*c[2 + n, -2 + k] + 
  1658766277804800000000*k*n^3*c[2 + n, -2 + k] - 
  3171175671019200000000*k^2*n^3*c[2 + n, -2 + k] - 
  1330519754577600000000*k^3*n^3*c[2 + n, -2 + k] + 
  1462576410072000000000*k^4*n^3*c[2 + n, -2 + k] + 
  615068729488800000000*k^5*n^3*c[2 + n, -2 + k] - 
  174446566142400000000*k^6*n^3*c[2 + n, -2 + k] - 
  56849411044800000000*k^7*n^3*c[2 + n, -2 + k] + 
  5339024539200000000*k^8*n^3*c[2 + n, -2 + k] - 
  13337200800000000*k^9*n^3*c[2 + n, -2 + k] + 753702185433600000000*n^4*
   c[2 + n, -2 + k] + 320803162243200000000*k*n^4*c[2 + n, -2 + k] - 
  574369757330400000000*k^2*n^4*c[2 + n, -2 + k] - 
  134404547421600000000*k^3*n^4*c[2 + n, -2 + k] + 
  170734845308400000000*k^4*n^4*c[2 + n, -2 + k] + 
  31713204207600000000*k^5*n^4*c[2 + n, -2 + k] - 
  12770068251600000000*k^6*n^4*c[2 + n, -2 + k] - 
  90540925200000000*k^7*n^4*c[2 + n, -2 + k] + 115097464123200000000*n^5*
   c[2 + n, -2 + k] + 27528162120000000000*k*n^5*c[2 + n, -2 + k] - 
  56617237191600000000*k^2*n^5*c[2 + n, -2 + k] - 
  2740858560000000000*k^3*n^5*c[2 + n, -2 + k] + 
  7766102998800000000*k^4*n^5*c[2 + n, -2 + k] - 
  213927674400000000*k^5*n^5*c[2 + n, -2 + k] + 
  9357486184800000000*n^6*c[2 + n, -2 + k] + 76683218400000000*k*n^6*
   c[2 + n, -2 + k] - 2207306683800000000*k^2*n^6*c[2 + n, -2 + k] + 
  333597106800000000*k^3*n^6*c[2 + n, -2 + k] - 
  29056044600000000*k^4*n^6*c[2 + n, -2 + k] + 
  274965678000000000*n^7*c[2 + n, -2 + k] - 92361578400000000*k*n^7*
   c[2 + n, -2 + k] + 22892641200000000*k^2*n^7*c[2 + n, -2 + k] - 
  4509156600000000*n^8*c[2 + n, -2 + k] - 583819742570844335638118400*
   c[4 + n, -28 + k] - 619375954396840547859025920*k*c[4 + n, -28 + k] + 
  604365502132229812002846720*k^2*c[4 + n, -28 + k] + 
  724566220839188358016861440*k^3*c[4 + n, -28 + k] + 
  23133367983833189661075840*k^4*c[4 + n, -28 + k] - 
  126070232447941961173464960*k^5*c[4 + n, -28 + k] - 
  25271910224938729788468480*k^6*c[4 + n, -28 + k] + 
  2158256447256874853266560*k^7*c[4 + n, -28 + k] + 
  361462107789209926396800*k^8*c[4 + n, -28 + k] - 
  49212303514518268494720*k^9*c[4 + n, -28 + k] + 
  2290126318215877128960*k^10*c[4 + n, -28 + k] - 
  48078539275378550400*k^11*c[4 + n, -28 + k] + 
  386003707768546560*k^12*c[4 + n, -28 + k] - 609066397425066631213363200*n*
   c[4 + n, -28 + k] - 507270822025139339266068480*k*n*c[4 + n, -28 + k] + 
  516649472661719759622140160*k^2*n*c[4 + n, -28 + k] + 
  398789162055131094875174400*k^3*n*c[4 + n, -28 + k] - 
  59471360663271096221488800*k^4*n*c[4 + n, -28 + k] - 
  53634996986141786889421440*k^5*n*c[4 + n, -28 + k] + 
  451376429863580833731840*k^6*n*c[4 + n, -28 + k] + 
  1146593572832284190460000*k^7*n*c[4 + n, -28 + k] - 
  117988843565585051176320*k^8*n*c[4 + n, -28 + k] + 
  5014206917496366216480*k^9*n*c[4 + n, -28 + k] - 
  99956283483132568800*k^10*n*c[4 + n, -28 + k] + 
  772007415537093120*k^11*n*c[4 + n, -28 + k] - 
  252746425655436244560537600*n^2*c[4 + n, -28 + k] - 
  149771262090624056242698240*k*n^2*c[4 + n, -28 + k] + 
  167506784362693452169684800*k^2*n^2*c[4 + n, -28 + k] + 
  66910856613130967615665200*k^3*n^2*c[4 + n, -28 + k] - 
  24863710571053114893552000*k^4*n^2*c[4 + n, -28 + k] - 
  3619410483969468594972720*k^5*n^2*c[4 + n, -28 + k] + 
  1117630621713797743754160*k^6*n^2*c[4 + n, -28 + k] - 
  93845343566760579017280*k^7*n^2*c[4 + n, -28 + k] + 
  3659540695399329592320*k^8*n^2*c[4 + n, -28 + k] - 
  68912935710928182720*k^9*n^2*c[4 + n, -28 + k] + 
  506629866446217360*k^10*n^2*c[4 + n, -28 + k] - 
  52034421475077643856217600*n^3*c[4 + n, -28 + k] - 
  17654793349897484874938880*k*n^3*c[4 + n, -28 + k] + 
  24193428498556822180408320*k^2*n^3*c[4 + n, -28 + k] + 
  1979827332588926467090920*k^3*n^3*c[4 + n, -28 + k] - 
  2298984898314340906036920*k^4*n^3*c[4 + n, -28 + k] + 
  373548147693328487766600*k^5*n^3*c[4 + n, -28 + k] - 
  26385082122531171808440*k^6*n^3*c[4 + n, -28 + k] + 
  934500858238668820680*k^7*n^3*c[4 + n, -28 + k] - 
  16200473758790040720*k^8*n^3*c[4 + n, -28 + k] + 
  108563542809903720*k^9*n^3*c[4 + n, -28 + k] - 
  5283854970553080383716800*n^4*c[4 + n, -28 + k] - 
  376995115567444730171760*k*n^4*c[4 + n, -28 + k] + 
  1264240055769488539544880*k^2*n^4*c[4 + n, -28 + k] - 
  248425879474264249730700*k^3*n^4*c[4 + n, -28 + k] + 
  24367139137998157336920*k^4*n^4*c[4 + n, -28 + k] - 
  1292571214548487552980*k^5*n^4*c[4 + n, -28 + k] + 
  33994545461123398200*k^6*n^4*c[4 + n, -28 + k] - 
  343535758541735760*k^7*n^4*c[4 + n, -28 + k] - 
  205711209308007693108000*n^5*c[4 + n, -28 + k] + 
  45598024526461385088600*k*n^5*c[4 + n, -28 + k] - 
  7745632167492050443920*k^2*n^5*c[4 + n, -28 + k] + 
  596893628991774437190*k^3*n^5*c[4 + n, -28 + k] - 
  20943983682762850080*k^4*n^5*c[4 + n, -28 + k] + 
  277267658237505810*k^5*n^5*c[4 + n, -28 + k] + 
  794191709726378636400*n^6*c[4 + n, -28 + k] - 
  90016925809371446340*k*n^6*c[4 + n, -28 + k] + 
  4583660095905639840*k^2*n^6*c[4 + n, -28 + k] - 
  85063197077897220*k^3*n^6*c[4 + n, -28 + k] - 
  248316929972256600*n^7*c[4 + n, -28 + k] + 8868461784723450*k*n^7*
   c[4 + n, -28 + k] - 28333453919206604075589427200*c[4 + n, -27 + k] - 
  29965970204848361776298098176*k*c[4 + n, -27 + k] + 
  29418967824882080468609757312*k^2*c[4 + n, -27 + k] + 
  35062656216008226144490206144*k^3*c[4 + n, -27 + k] + 
  1020950156208812681915597088*k^4*c[4 + n, -27 + k] - 
  6116863912869186016138137888*k^5*c[4 + n, -27 + k] - 
  1209140042932718586274945824*k^6*c[4 + n, -27 + k] + 
  107857105670119728153184992*k^7*c[4 + n, -27 + k] + 
  17311116250562514956413344*k^8*c[4 + n, -27 + k] - 
  2427176500618322535386976*k^9*c[4 + n, -27 + k] + 
  115287020439577699244832*k^10*c[4 + n, -27 + k] - 
  2469938005386238296096*k^11*c[4 + n, -27 + k] + 
  20255253047249888448*k^12*c[4 + n, -27 + k] - 
  29628658378379013716326187520*n*c[4 + n, -27 + k] - 
  24593781789655784734679615232*k*n*c[4 + n, -27 + k] + 
  25221423749922078327985113504*k^2*n*c[4 + n, -27 + k] + 
  19358450929750798208505998736*k^3*n*c[4 + n, -27 + k] - 
  2936450039699764220918901336*k^4*n*c[4 + n, -27 + k] - 
  2607154109369706257634171312*k^5*n*c[4 + n, -27 + k] + 
  25556499280098684574777800*k^6*n*c[4 + n, -27 + k] + 
  55590522789859633286168688*k^7*n*c[4 + n, -27 + k] - 
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  66657880943596800000*n^8*c[4 + n, -6 + k] + 659545530643464192000000*
   c[4 + n, -5 + k] - 35991852199392199680000000*k*c[4 + n, -5 + k] + 
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  4071550059720000000*k^2*n^7*c[4 + n, -5 + k] + 
  801971981460000000*n^8*c[4 + n, -5 + k] - 26926163273318400000000*
   c[4 + n, -4 + k] - 287243471500369920000000*k*c[4 + n, -4 + k] - 
  366078359515806720000000*k^2*c[4 + n, -4 + k] + 
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  10178161297920000000*k^12*c[4 + n, -4 + k] - 80275697728512000000000*n*
   c[4 + n, -4 + k] - 530267817768801280000000*k*n*c[4 + n, -4 + k] - 
  445963125619568640000000*k^2*n*c[4 + n, -4 + k] + 
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  21399817011356880000000*k^5*n^3*c[4 + n, -4 + k] - 
  1943705354464800000000*k^6*n^3*c[4 + n, -4 + k] + 
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  90078128822880000000*k^8*n^3*c[4 + n, -4 + k] - 
  1122039650160000000*k^9*n^3*c[4 + n, -4 + k] - 
  15301457276526720000000*n^4*c[4 + n, -4 + k] - 
  31436888994198720000000*k*n^4*c[4 + n, -4 + k] - 
  229999543740000000000*k^2*n^4*c[4 + n, -4 + k] + 
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  1789157247901200000000*k^5*n^4*c[4 + n, -4 + k] + 
  180912506907600000000*k^6*n^4*c[4 + n, -4 + k] + 
  5806944095040000000*k^7*n^4*c[4 + n, -4 + k] - 
  2736541709478720000000*n^5*c[4 + n, -4 + k] - 
  3641073960905280000000*k*n^5*c[4 + n, -4 + k] + 
  587192569688880000000*k^2*n^5*c[4 + n, -4 + k] + 
  949503226860000000000*k^3*n^5*c[4 + n, -4 + k] - 
  124382374107120000000*k^4*n^5*c[4 + n, -4 + k] - 
  15468881130720000000*k^5*n^5*c[4 + n, -4 + k] - 
  263890933132320000000*n^6*c[4 + n, -4 + k] - 197884950946560000000*k*n^6*
   c[4 + n, -4 + k] + 50238621841680000000*k^2*n^6*c[4 + n, -4 + k] + 
  12467462392800000000*k^3*n^6*c[4 + n, -4 + k] - 
  130514036400000000*k^4*n^6*c[4 + n, -4 + k] - 
  10816564346640000000*n^7*c[4 + n, -4 + k] - 2838819681360000000*k*n^7*
   c[4 + n, -4 + k] + 102829240800000000*k^2*n^7*c[4 + n, -4 + k] - 
  20254244400000000*n^8*c[4 + n, -4 + k] + 186482206310400000000*
   c[4 + n, -3 + k] - 177728189030400000000*k*c[4 + n, -3 + k] - 
  780305428377600000000*k^2*c[4 + n, -3 + k] + 144100787136000000000*k^3*
   c[4 + n, -3 + k] + 859611461779200000000*k^4*c[4 + n, -3 + k] + 
  102466693996800000000*k^5*c[4 + n, -3 + k] - 310037663529600000000*k^6*
   c[4 + n, -3 + k] - 75747565238400000000*k^7*c[4 + n, -3 + k] + 
  39311225337600000000*k^8*c[4 + n, -3 + k] + 13494940070400000000*k^9*
   c[4 + n, -3 + k] - 936920131200000000*k^10*c[4 + n, -3 + k] - 
  659046326400000000*k^11*c[4 + n, -3 + k] - 52501996800000000*k^12*
   c[4 + n, -3 + k] + 203590477209600000000*n*c[4 + n, -3 + k] - 
  269866342195200000000*k*n*c[4 + n, -3 + k] - 784721665113600000000*k^2*n*
   c[4 + n, -3 + k] + 244402288800000000000*k^3*n*c[4 + n, -3 + k] + 
  697932271977600000000*k^4*n*c[4 + n, -3 + k] - 
  35839235961600000000*k^5*n*c[4 + n, -3 + k] - 
  214403865796800000000*k^6*n*c[4 + n, -3 + k] - 
  12734331537600000000*k^7*n*c[4 + n, -3 + k] + 
  23979736108800000000*k^8*n*c[4 + n, -3 + k] + 
  2786536598400000000*k^9*n*c[4 + n, -3 + k] - 730524484800000000*k^10*n*
   c[4 + n, -3 + k] - 91878494400000000*k^11*n*c[4 + n, -3 + k] + 
  63710384025600000000*n^2*c[4 + n, -3 + k] - 178247874931200000000*k*n^2*
   c[4 + n, -3 + k] - 297002542694400000000*k^2*n^2*c[4 + n, -3 + k] + 
  131369055955200000000*k^3*n^2*c[4 + n, -3 + k] + 
  196533732801600000000*k^4*n^2*c[4 + n, -3 + k] - 
  46642268059200000000*k^5*n^2*c[4 + n, -3 + k] - 
  44811840859200000000*k^6*n^2*c[4 + n, -3 + k] + 
  5381012995200000000*k^7*n^2*c[4 + n, -3 + k] + 
  3396686270400000000*k^8*n^2*c[4 + n, -3 + k] - 
  103040942400000000*k^9*n^2*c[4 + n, -3 + k] - 
  39376497600000000*k^10*n^2*c[4 + n, -3 + k] - 
  8747677785600000000*n^3*c[4 + n, -3 + k] - 61887235564800000000*k*n^3*
   c[4 + n, -3 + k] - 44888127840000000000*k^2*n^3*c[4 + n, -3 + k] + 
  28958480280000000000*k^3*n^3*c[4 + n, -3 + k] + 
  18935751564000000000*k^4*n^3*c[4 + n, -3 + k] - 
  10149451502400000000*k^5*n^3*c[4 + n, -3 + k] - 
  1977693408000000000*k^6*n^3*c[4 + n, -3 + k] + 
  947501712000000000*k^7*n^3*c[4 + n, -3 + k] + 
  17417268000000000*k^8*n^3*c[4 + n, -3 + k] - 10458611654400000000*n^4*
   c[4 + n, -3 + k] - 10867755225600000000*k*n^4*c[4 + n, -3 + k] + 
  616398076800000000*k^2*n^4*c[4 + n, -3 + k] + 
  1761608541600000000*k^3*n^4*c[4 + n, -3 + k] - 
  570752568000000000*k^4*n^4*c[4 + n, -3 + k] - 
  434627467200000000*k^5*n^4*c[4 + n, -3 + k] + 
  176720097600000000*k^6*n^4*c[4 + n, -3 + k] - 
  8140888800000000*k^7*n^4*c[4 + n, -3 + k] - 2713373769600000000*n^5*
   c[4 + n, -3 + k] - 621251985600000000*k*n^5*c[4 + n, -3 + k] + 
  917921743200000000*k^2*n^5*c[4 + n, -3 + k] - 
  257940612000000000*k^3*n^5*c[4 + n, -3 + k] - 
  141849986400000000*k^4*n^5*c[4 + n, -3 + k] + 
  35770572000000000*k^5*n^5*c[4 + n, -3 + k] - 
  312559041600000000*n^6*c[4 + n, -3 + k] + 62996680800000000*k*n^6*
   c[4 + n, -3 + k] + 73918267200000000*k^2*n^6*c[4 + n, -3 + k] - 
  31823474400000000*k^3*n^6*c[4 + n, -3 + k] - 
  13904654400000000*n^7*c[4 + n, -3 + k] + 7483039200000000*k*n^7*
   c[4 + n, -3 + k] + 17514012756869233532928000*c[6 + n, -27 + k] + 
  18402592905141860840140800*k*c[6 + n, -27 + k] - 
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  466229958777704251065600*k^4*c[6 + n, -27 + k] + 
  3797735369118810212822400*k^5*c[6 + n, -27 + k] + 
  720285304730006133619200*k^6*c[6 + n, -27 + k] - 
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  10535306942450711232000*k^8*c[6 + n, -27 + k] + 
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  79063723743875136000*k^10*c[6 + n, -27 + k] + 
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  14700902907398400*k^12*c[6 + n, -27 + k] + 18244288848843262788710400*n*
   c[6 + n, -27 + k] + 15000727120731614364480000*k*n*c[6 + n, -27 + k] - 
  15635407635450767275574400*k^2*n*c[6 + n, -27 + k] - 
  11775961864578653627256000*k^3*n*c[6 + n, -27 + k] + 
  1915663852372211857238400*k^4*n*c[6 + n, -27 + k] + 
  1590168133946725703546400*k^5*n*c[6 + n, -27 + k] - 
  32072032015444500660000*k^6*n*c[6 + n, -27 + k] - 
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  174564803429786095200*k^9*n*c[6 + n, -27 + k] + 
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  29401805814796800*k^11*n*c[6 + n, -27 + k] + 7553782103850428972198400*n^2*
   c[6 + n, -27 + k] + 4389767551980808374787200*k*n^2*c[6 + n, -27 + k] - 
  5051830481612980773825600*k^2*n^2*c[6 + n, -27 + k] - 
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  35101520578805509206000*k^6*n^2*c[6 + n, -27 + k] + 
  3143705477696151152400*k^7*n^2*c[6 + n, -27 + k] - 
  128946565262410005600*k^8*n^2*c[6 + n, -27 + k] + 
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  33775166233048149000*k^7*n^3*c[6 + n, -27 + k] + 
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  4134628942705800*k^9*n^3*c[6 + n, -27 + k] + 156056159115301536000000*n^4*
   c[6 + n, -27 + k] + 8637170805710931934800*k*n^4*c[6 + n, -27 + k] - 
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  34208803636034882400*n^6*c[6 + n, -27 + k] + 4016247610262869800*k*n^6*
   c[6 + n, -27 + k] - 205104552275832300*k^2*n^6*c[6 + n, -27 + k] + 
  3825196198141500*k^3*n^6*c[6 + n, -27 + k] + 
  10105921568638350*n^7*c[6 + n, -27 + k] - 374293391431050*k*n^7*
   c[6 + n, -27 + k] + 1769101120576441470538137600*c[6 + n, -26 + k] + 
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  1643385934298243520*k^12*c[6 + n, -26 + k] + 1846759891486933939358868480*n*
   c[6 + n, -26 + k] + 1512243735965806723560011520*k*n*c[6 + n, -26 + k] - 
  1588970341106324713206391680*k^2*n*c[6 + n, -26 + k] - 
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  74465657190151517476116000*k^2*n^3*c[6 + n, -26 + k] - 
  5128856510307531699855780*k^3*n^3*c[6 + n, -26 + k] + 
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  90886661667842040*n^7*c[6 + n, -26 + k] - 19760556165431445*k*n^7*
   c[6 + n, -26 + k] + 14050280560786470*k^2*n^7*c[6 + n, -26 + k] - 
  2767479504397335*n^8*c[6 + n, -26 + k] - 60804234396321605512475443200*
   c[6 + n, -25 + k] - 63006639272887674652857630720*k*c[6 + n, -25 + k] + 
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   c[6 + n, -25 + k] - 308464677617411250*n^8*c[6 + n, -25 + k] + 
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  140624650486756800000*n^7*c[6 + n, -7 + k] - 21111916094380800000*k*n^7*
   c[6 + n, -7 + k] + 13473800987961600000*k^2*n^7*c[6 + n, -7 + k] - 
  2653930497628800000*n^8*c[6 + n, -7 + k] - 116137809089003520000000*
   c[6 + n, -6 + k] + 180302682481729536000000*k*c[6 + n, -6 + k] + 
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   c[6 + n, -6 + k] + 908499068928000000*k^12*c[6 + n, -6 + k] - 
  62504569803546624000000*n*c[6 + n, -6 + k] + 248685120235515904000000*k*n*
   c[6 + n, -6 + k] + 91453627265811456000000*k^2*n*c[6 + n, -6 + k] - 
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  393882923985408000000*n^5*c[6 + n, -6 + k] - 198540266815584000000*k*n^5*
   c[6 + n, -6 + k] - 199758282778224000000*k^2*n^5*c[6 + n, -6 + k] + 
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   c[6 + n, -6 + k] + 7102824137280000000*k^2*n^6*c[6 + n, -6 + k] + 
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   c[6 + n, -5 + k] - 28067339341440000000*k^10*c[6 + n, -5 + k] - 
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   c[6 + n, -5 + k] + 21135606070364160000000*k*n*c[6 + n, -5 + k] - 
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   c[6 + n, -5 + k] - 850078331742240000000*k^2*n^4*c[6 + n, -5 + k] + 
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   c[6 + n, -5 + k] + 2462385523680000000*k^2*n^6*c[6 + n, -5 + k] + 
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  435337746480000000*n^7*c[6 + n, -5 + k] - 18346713840000000*k*n^7*
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   c[8 + n, -25 + k] - 20577729005205808205145600*k*n*c[8 + n, -25 + k] + 
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   c[8 + n, -25 + k] - 5994810406710366195628800*k*n^2*c[8 + n, -25 + k] + 
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  8269257885411600*k^9*n^3*c[8 + n, -25 + k] - 220391223007843183514400*n^4*
   c[8 + n, -25 + k] - 9937186544675951920800*k*n^4*c[8 + n, -25 + k] + 
  53196888469383298861200*k^2*n^4*c[8 + n, -25 + k] - 
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   c[8 + n, -25 + k] + 280802622250517850*k^2*n^6*c[8 + n, -25 + k] - 
  144275390103600*k^3*n^6*c[8 + n, -25 + k] - 1033657235676450*k^4*n^6*
   c[8 + n, -25 + k] - 19084849848792000*n^7*c[8 + n, -25 + k] - 
  633419585498700*k*n^7*c[8 + n, -25 + k] + 814396609926900*k^2*n^7*
   c[8 + n, -25 + k] - 160411453470450*n^8*c[8 + n, -25 + k] + 
  1116419594385551949055180800*c[8 + n, -24 + k] + 
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  1759208047918675200*k^12*c[8 + n, -24 + k] + 1162873800579588540070118400*n*
   c[8 + n, -24 + k] + 924524762344595155885881600*k*n*c[8 + n, -24 + k] - 
  1023601039309133275973270400*k^2*n*c[8 + n, -24 + k] - 
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  42129991881489600000*k^7*n^4*c[8 + n, -10 + k] + 
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  208690321102659892800000*k^2*n^5*c[8 + n, -10 + k] - 
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  9976646040520924800000*k*n^6*c[8 + n, -10 + k] - 
  9047104839273931200000*k^2*n^6*c[8 + n, -10 + k] - 
  841001026347086400000*k^3*n^6*c[8 + n, -10 + k] + 
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  1998291568405766400000*n^7*c[8 + n, -10 + k] + 
  197542388868364800000*k*n^7*c[8 + n, -10 + k] - 
  172894875778310400000*k^2*n^7*c[8 + n, -10 + k] + 
  34055051289667200000*n^8*c[8 + n, -10 + k] - 21410693481970630656000000*
   c[8 + n, -9 + k] - 10693319076539308032000000*k*c[8 + n, -9 + k] + 
  31573238874173174272000000*k^2*c[8 + n, -9 + k] + 
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  102558793900199040000000*k^8*c[8 + n, -9 + k] + 
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  10580857258752000000*k^12*c[8 + n, -9 + k] - 21767316274899806208000000*n*
   c[8 + n, -9 + k] - 5690385988796412928000000*k*n*c[8 + n, -9 + k] + 
  24991488503074473984000000*k^2*n*c[8 + n, -9 + k] + 
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  1254314791836288000000*n^6*c[8 + n, -9 + k] - 
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  76871870831808000000*n^7*c[8 + n, -9 + k] - 11572806505104000000*k*n^7*
   c[8 + n, -9 + k] + 5766888997584000000*k^2*n^7*c[8 + n, -9 + k] - 
  1135902378312000000*n^8*c[8 + n, -9 + k] + 340624303526707200000000*
   c[8 + n, -8 + k] + 63263772770119680000000*k*c[8 + n, -8 + k] - 
  576397393901204480000000*k^2*c[8 + n, -8 + k] - 
  21438954635253760000000*k^3*c[8 + n, -8 + k] + 
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  551170435368960000000*k^9*c[8 + n, -8 + k] - 83879153994240000000*k^10*
   c[8 + n, -8 + k] + 15962865177600000000*k^11*c[8 + n, -8 + k] - 
  576279982080000000*k^12*c[8 + n, -8 + k] + 315695981757911040000000*n*
   c[8 + n, -8 + k] - 34177128750110720000000*k*n*c[8 + n, -8 + k] - 
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  956326694400000000*k^11*n*c[8 + n, -8 + k] + 108756592145710080000000*n^2*
   c[8 + n, -8 + k] - 49266275111792640000000*k*n^2*c[8 + n, -8 + k] - 
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  20958458400000000*k^9*n^3*c[8 + n, -8 + k] + 791864635161600000000*n^4*
   c[8 + n, -8 + k] - 626143849056000000000*k*n^4*c[8 + n, -8 + k] + 
  1972286706772800000000*k^2*n^4*c[8 + n, -8 + k] - 
  421937129782080000000*k^3*n^4*c[8 + n, -8 + k] - 
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  27038443386240000000*n^5*c[8 + n, -8 + k] + 217207804461120000000*k*n^5*
   c[8 + n, -8 + k] + 108964239690240000000*k^2*n^5*c[8 + n, -8 + k] - 
  122907548443680000000*k^3*n^5*c[8 + n, -8 + k] + 
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  14359843555200000000*n^6*c[8 + n, -8 + k] + 23989408597440000000*k*n^6*
   c[8 + n, -8 + k] - 6477951561840000000*k^2*n^6*c[8 + n, -8 + k] - 
  1117291760640000000*k^3*n^6*c[8 + n, -8 + k] + 
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  1424597803200000000*n^7*c[8 + n, -8 + k] + 265193248320000000*k*n^7*
   c[8 + n, -8 + k] - 77609806560000000*k^2*n^7*c[8 + n, -8 + k] + 
  15286780080000000*n^8*c[8 + n, -8 + k] + 13485642153984000000000*
   c[8 + n, -7 + k] + 879571454361600000000*k*c[8 + n, -7 + k] - 
  20523675309772800000000*k^2*c[8 + n, -7 + k] + 
  4153205335065600000000*k^3*c[8 + n, -7 + k] + 
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  131743311321600000000*k^8*c[8 + n, -7 + k] - 74665657440000000000*k^9*
   c[8 + n, -7 + k] - 3342832416000000000*k^10*c[8 + n, -7 + k] + 
  1666514995200000000*k^11*c[8 + n, -7 + k] - 74518963200000000*k^12*
   c[8 + n, -7 + k] + 11971149513523200000000*n*c[8 + n, -7 + k] - 
  841043708313600000000*k*n*c[8 + n, -7 + k] - 8893740270412800000000*k^2*n*
   c[8 + n, -7 + k] + 7964525884761600000000*k^3*n*c[8 + n, -7 + k] - 
  1507372011129600000000*k^4*n*c[8 + n, -7 + k] - 
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  130408185600000000*k^11*n*c[8 + n, -7 + k] + 3855838623436800000000*n^2*
   c[8 + n, -7 + k] - 30936171340800000000*k*n^2*c[8 + n, -7 + k] + 
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  55889222400000000*k^10*n^2*c[8 + n, -7 + k] + 
  512508950553600000000*n^3*c[8 + n, -7 + k] + 558732753216000000000*k*n^3*
   c[8 + n, -7 + k] + 1419360478905600000000*k^2*n^3*c[8 + n, -7 + k] - 
  189012156854400000000*k^3*n^3*c[8 + n, -7 + k] - 
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  27071972928000000000*n^4*c[8 + n, -7 + k] + 258691018291200000000*k*n^4*
   c[8 + n, -7 + k] + 252677920176000000000*k^2*n^4*c[8 + n, -7 + k] - 
  144557006140800000000*k^3*n^4*c[8 + n, -7 + k] - 
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  40646707200000000*k^7*n^4*c[8 + n, -7 + k] + 
  4910005900800000000*n^5*c[8 + n, -7 + k] + 44687319494400000000*k*n^5*
   c[8 + n, -7 + k] + 12229854595200000000*k^2*n^5*c[8 + n, -7 + k] - 
  14560639315200000000*k^3*n^5*c[8 + n, -7 + k] + 
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  1211933923200000000*n^6*c[8 + n, -7 + k] + 2970545529600000000*k*n^6*
   c[8 + n, -7 + k] - 323762313600000000*k^2*n^6*c[8 + n, -7 + k] - 
  158891673600000000*k^3*n^6*c[8 + n, -7 + k] + 
  82897214400000000*n^7*c[8 + n, -7 + k] + 37362124800000000*k*n^7*
   c[8 + n, -7 + k], 1135960799954237169160659193036800*c[-14 + n, -32 + k] + 
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  26449073907878804024262131712*k^10*c[-14 + n, -32 + k] + 
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  32005328565847101221169795170304*k^6*n*c[-14 + n, -32 + k] - 
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   n^7*c[-4 + n, k] - 1559060701007476043357214474240*c[-2 + n, -33 + k] - 
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  2548416639995341392960000000*k^4*n*c[-2 + n, -1 + k] - 
  640421249336457887040000000*k^5*n*c[-2 + n, -1 + k] + 
  764735850278831200320000000*k^6*n*c[-2 + n, -1 + k] + 
  425775758588363730240000000*k^7*n*c[-2 + n, -1 + k] - 
  850374297091569600000000*k^8*n*c[-2 + n, -1 + k] - 
  36541218262701533760000000*k^9*n*c[-2 + n, -1 + k] - 
  5599951773459912000000000*k^10*n*c[-2 + n, -1 + k] - 
  42836502201863040000000*k^11*n*c[-2 + n, -1 + k] + 
  296368632029943408000000000*n^2*c[-2 + n, -1 + k] + 
  953685691200094793760000000*k*n^2*c[-2 + n, -1 + k] + 
  678209845531964483040000000*k^2*n^2*c[-2 + n, -1 + k] - 
  614783924587970495280000000*k^3*n^2*c[-2 + n, -1 + k] - 
  894789545488281260640000000*k^4*n^2*c[-2 + n, -1 + k] - 
  171084101201669240640000000*k^5*n^2*c[-2 + n, -1 + k] + 
  133981002410485953600000000*k^6*n^2*c[-2 + n, -1 + k] + 
  48658132845926299440000000*k^7*n^2*c[-2 + n, -1 + k] + 
  526197443992410240000000*k^8*n^2*c[-2 + n, -1 + k] - 
  720906942786449760000000*k^9*n^2*c[-2 + n, -1 + k] - 
  11062289193975360000000*k^10*n^2*c[-2 + n, -1 + k] + 
  108119073261789738720000000*n^3*c[-2 + n, -1 + k] + 
  276124033167030702720000000*k*n^3*c[-2 + n, -1 + k] + 
  123217330939425074160000000*k^2*n^3*c[-2 + n, -1 + k] - 
  159933009377705985720000000*k^3*n^3*c[-2 + n, -1 + k] - 
  133888139322869557440000000*k^4*n^3*c[-2 + n, -1 + k] - 
  14680386226259298000000000*k^5*n^3*c[-2 + n, -1 + k] + 
  4642065448531709760000000*k^6*n^3*c[-2 + n, -1 + k] + 
  1126835866725710760000000*k^7*n^3*c[-2 + n, -1 + k] + 
  535275768606060240000000*k^8*n^3*c[-2 + n, -1 + k] - 
  723412311811200000000*k^9*n^3*c[-2 + n, -1 + k] + 
  13176690931934824320000000*n^4*c[-2 + n, -1 + k] + 
  27654277027514031360000000*k*n^4*c[-2 + n, -1 + k] + 
  299610273162099960000000*k^2*n^4*c[-2 + n, -1 + k] - 
  22901167952722750320000000*k^3*n^4*c[-2 + n, -1 + k] - 
  7115587984812441240000000*k^4*n^4*c[-2 + n, -1 + k] + 
  166487841830188080000000*k^5*n^4*c[-2 + n, -1 + k] - 
  495778388447442960000000*k^6*n^4*c[-2 + n, -1 + k] + 
  31320961236536400000000*k^7*n^4*c[-2 + n, -1 + k] - 
  2791146812852642400000000*n^5*c[-2 + n, -1 + k] - 
  3428208457708401360000000*k*n^5*c[-2 + n, -1 + k] - 
  2061440205446095020000000*k^2*n^5*c[-2 + n, -1 + k] - 
  1465897963616366040000000*k^3*n^5*c[-2 + n, -1 + k] + 
  106270498452982500000000*k^4*n^5*c[-2 + n, -1 + k] + 
  53475577028475120000000*k^5*n^5*c[-2 + n, -1 + k] - 
  1127583905264837280000000*n^6*c[-2 + n, -1 + k] - 
  999854485628267790000000*k*n^6*c[-2 + n, -1 + k] - 
  80719650890432280000000*k^2*n^6*c[-2 + n, -1 + k] - 
  9897377538243150000000*k^3*n^6*c[-2 + n, -1 + k] + 
  10625629509702900000000*k^4*n^6*c[-2 + n, -1 + k] - 
  138338765100384030000000*n^7*c[-2 + n, -1 + k] - 
  62797317301765620000000*k*n^7*c[-2 + n, -1 + k] + 
  11174292169251750000000*k^2*n^7*c[-2 + n, -1 + k] - 
  6050966692147650000000*n^8*c[-2 + n, -1 + k] + 
  1057388467838976000000000*k*c[-2 + n, k] + 2951416223289446400000000*k^2*
   c[-2 + n, k] + 1949335542296755200000000*k^3*c[-2 + n, k] - 
  1775759755597401600000000*k^4*c[-2 + n, k] - 3147284251931328000000000*k^5*
   c[-2 + n, k] - 1457805310433337600000000*k^6*c[-2 + n, k] + 
  41023900032883200000000*k^7*c[-2 + n, k] + 269699555271052800000000*k^8*
   c[-2 + n, k] + 97339612369305600000000*k^9*c[-2 + n, k] + 
  13978936653984000000000*k^10*c[-2 + n, k] + 667080209664000000000*k^11*
   c[-2 + n, k] + 1401079098272256000000000*k*n*c[-2 + n, k] + 
  3379532487580800000000000*k^2*n*c[-2 + n, k] + 
  1933669308963052800000000*k^3*n*c[-2 + n, k] - 
  1298045896863062400000000*k^4*n*c[-2 + n, k] - 
  1852697451705091200000000*k^5*n*c[-2 + n, k] - 
  567230758778361600000000*k^6*n*c[-2 + n, k] + 
  107089131848256000000000*k^7*n*c[-2 + n, k] + 
  96567689654121600000000*k^8*n*c[-2 + n, k] + 18787887511804800000000*k^9*n*
   c[-2 + n, k] + 1164924466675200000000*k^10*n*c[-2 + n, k] + 
  23846068224000000000*k^11*n*c[-2 + n, k] + 796983481663948800000000*k*n^2*
   c[-2 + n, k] + 1691931121569964800000000*k^2*n^2*c[-2 + n, k] + 
  881969434134249600000000*k^3*n^2*c[-2 + n, k] - 
  336969622553760000000000*k^4*n^2*c[-2 + n, k] - 
  415401192133473600000000*k^5*n^2*c[-2 + n, k] - 
  75240087929899200000000*k^6*n^2*c[-2 + n, k] + 
  24903646116033600000000*k^7*n^2*c[-2 + n, k] + 
  9231095074190400000000*k^8*n^2*c[-2 + n, k] + 
  848428881062400000000*k^9*n^2*c[-2 + n, k] + 53653653504000000000*k^10*n^2*
   c[-2 + n, k] + 252055681567372800000000*k*n^3*c[-2 + n, k] + 
  472261033633680000000000*k^2*n^3*c[-2 + n, k] + 
  225074828850912000000000*k^3*n^3*c[-2 + n, k] - 
  38225012136544800000000*k^4*n^3*c[-2 + n, k] - 
  46350741944138400000000*k^5*n^3*c[-2 + n, k] - 
  5158229095792800000000*k^6*n^3*c[-2 + n, k] + 
  1232896654706400000000*k^7*n^3*c[-2 + n, k] + 
  178574533632000000000*k^8*n^3*c[-2 + n, k] + 26826826752000000000*k^9*n^3*
   c[-2 + n, k] + 47941025051836800000000*k*n^4*c[-2 + n, k] + 
  77507121901478400000000*k^2*n^4*c[-2 + n, k] + 
  31771381165164000000000*k^3*n^4*c[-2 + n, k] - 
  2495075448405600000000*k^4*n^4*c[-2 + n, k] - 
  2961127915689600000000*k^5*n^4*c[-2 + n, k] - 
  273683111558400000000*k^6*n^4*c[-2 + n, k] - 21136287744000000000*k^7*n^4*
   c[-2 + n, k] + 5506757265859200000000*k*n^5*c[-2 + n, k] + 
  7229292449767200000000*k^2*n^5*c[-2 + n, k] + 
  2199562375568400000000*k^3*n^5*c[-2 + n, k] - 
  219989732511600000000*k^4*n^5*c[-2 + n, k] - 100396233043200000000*k^5*n^5*
   c[-2 + n, k] + 356026287708000000000*k*n^6*c[-2 + n, k] + 
  334320103630800000000*k^2*n^6*c[-2 + n, k] + 52578791118000000000*k^3*n^6*
   c[-2 + n, k] - 12787344385200000000*k^4*n^6*c[-2 + n, k] + 
  10074877394400000000*k*n^7*c[-2 + n, k] + 5037438697200000000*k^2*n^7*
   c[-2 + n, k] + 430328057657580397230591836160*c[n, -32 + k] + 
  468667040717357456003750854656*k*c[n, -32 + k] - 
  431992896848308740985250015232*k^2*c[n, -32 + k] - 
  545951997254055557709256333824*k^3*c[n, -32 + k] - 
  32704530669934772332857470208*k^4*c[n, -32 + k] + 
  91658515634727630197099275008*k^5*c[n, -32 + k] + 
  21184451568458151602710017024*k^6*c[n, -32 + k] - 
  937134379268496787965000192*k^7*c[n, -32 + k] - 
  278561843251192365446939904*k^8*c[n, -32 + k] + 
  28112915494612457607764736*k^9*c[n, -32 + k] - 
  1076380177460851658644992*k^10*c[n, -32 + k] + 
  19011023520175620527616*k^11*c[n, -32 + k] - 129645546634945870848*k^12*
   c[n, -32 + k] + 450194107473724783143220346880*n*c[n, -32 + k] + 
  388030924140467960779038369792*k*n*c[n, -32 + k] - 
  370785818806592846676097711104*k^2*n*c[n, -32 + k] - 
  305807946544726462377007963776*k^3*n*c[n, -32 + k] + 
  34806918237274297780563802176*k^4*n*c[n, -32 + k] + 
  40579778713156159467542994432*k^5*n*c[n, -32 + k] + 
  904841099579617193631214080*k^6*n*c[n, -32 + k] - 
  792957798808995033475982208*k^7*n*c[n, -32 + k] + 
  64861791249718822029931584*k^8*n*c[n, -32 + k] - 
  2304360233909875022828544*k^9*n*c[n, -32 + k] + 
  39070645000573665561984*k^10*n*c[n, -32 + k] - 
  259291093269891741696*k^11*n*c[n, -32 + k] + 187612471292163341544212152320*
   n^2*c[n, -32 + k] + 116887312127539188512185425408*k*n^2*c[n, -32 + k] - 
  121076761064137486436724143616*k^2*n^2*c[n, -32 + k] - 
  53606328305918257347255581184*k^3*n^2*c[n, -32 + k] + 
  16793985928702033793134727424*k^4*n^2*c[n, -32 + k] + 
  3228586903402959889934508096*k^5*n^2*c[n, -32 + k] - 
  713916004655557470653320896*k^6*n^2*c[n, -32 + k] + 
  49320347380070597951909184*k^7*n^2*c[n, -32 + k] - 
  1629021865186952461736064*k^8*n^2*c[n, -32 + k] + 
  26448448703852633014656*k^9*n^2*c[n, -32 + k] - 
  170159779958366455488*k^10*n^2*c[n, -32 + k] + 
  38902561362122659776255283200*n^3*c[n, -32 + k] + 
  14480721001048137472247845248*k*n^3*c[n, -32 + k] - 
  17735165267740707085233518016*k^2*n^3*c[n, -32 + k] - 
  2124714963354881553080860464*k^3*n^3*c[n, -32 + k] + 
  1663892661851863732398182400*k^4*n^3*c[n, -32 + k] - 
  218236454175662969999314752*k^5*n^3*c[n, -32 + k] + 
  12809714664970215726412176*k^6*n^3*c[n, -32 + k] - 
  388415715359187779377776*k^7*n^3*c[n, -32 + k] + 
  5947932164318875661040*k^8*n^3*c[n, -32 + k] - 
  36462809991078526176*k^9*n^3*c[n, -32 + k] + 4008507486349211751909519360*
   n^4*c[n, -32 + k] + 439332760827666692108883072*k*n^4*c[n, -32 + k] - 
  966428376257168225791100928*k^2*n^4*c[n, -32 + k] + 
  147267629844626873777825088*k^3*n^4*c[n, -32 + k] - 
  9963591691005614847365640*k^4*n^4*c[n, -32 + k] + 
  360545364233061759454248*k^5*n^4*c[n, -32 + k] - 
  6771782089877997764952*k^6*n^4*c[n, -32 + k] + 
  51418426258498401432*k^7*n^4*c[n, -32 + k] + 163376791725672286150371840*
   n^5*c[n, -32 + k] - 27082066679140646528176464*k*n^5*c[n, -32 + k] + 
  2299558867490381086666080*k^2*n^5*c[n, -32 + k] - 
  109903722794973234577980*k^3*n^5*c[n, -32 + k] + 
  2919124390502420922960*k^4*n^5*c[n, -32 + k] - 
  33113286693486732276*k^5*n^5*c[n, -32 + k] - 104029074202207624704000*n^6*
   c[n, -32 + k] + 10456313203712280827520*k*n^6*c[n, -32 + k] - 
  579320289924073724520*k^2*n^6*c[n, -32 + k] + 
  11067231096364322880*k^3*n^6*c[n, -32 + k] + 47562579982627182720*n^7*
   c[n, -32 + k] - 1486330624457099460*k*n^7*c[n, -32 + k] - 
  20955892631533276426139093483520*c[n, -31 + k] - 
  22686725175329241508557545856000*k*c[n, -31 + k] + 
  21202222043407119810620460132096*k^2*c[n, -31 + k] + 
  26455742424644500679784574692096*k^3*c[n, -31 + k] + 
  1403267138156424068471756382336*k^4*c[n, -31 + k] - 
  4483597894939233338601133324800*k^5*c[n, -31 + k] - 
  1001218904848676132330982470784*k^6*c[n, -31 + k] + 
  54100089730921411430826226560*k^7*c[n, -31 + k] + 
  13517895658305367600713646848*k^8*c[n, -31 + k] - 
  1473390303411592534662800640*k^9*c[n, -31 + k] + 
  59500077849776994877427328*k^10*c[n, -31 + k] - 
  1102593002523995972854656*k^11*c[n, -31 + k] + 
  7871720407256182283136*k^12*c[n, -31 + k] - 
  21911477239061209232158051722240*n*c[n, -31 + k] - 
  18737958633284957817836197691136*k*n*c[n, -31 + k] + 
  18183673805790784026094459792128*k^2*n*c[n, -31 + k] + 
  14760857239331797188681260253696*k^3*n*c[n, -31 + k] - 
  1805319702487526679886270999968*k^4*n*c[n, -31 + k] - 
  1966382962135902947514670341984*k^5*n*c[n, -31 + k] - 
  29089317334284949599162224064*k^6*n*c[n, -31 + k] + 
  39443014002998998875745724832*k^7*n*c[n, -31 + k] - 
  3423405721433775245120500128*k^8*n*c[n, -31 + k] + 
  127553703288415605118277856*k^9*n*c[n, -31 + k] - 
  2258850830327583945970176*k^10*n*c[n, -31 + k] + 
  15620032853480567169504*k^11*n*c[n, -31 + k] - 
  9123851276256765079710373893120*n^2*c[n, -31 + k] - 
  5619526676233539650047059270912*k*n^2*c[n, -31 + k] + 
  5929078129438987223679803495472*k^2*n^2*c[n, -31 + k] + 
  2562721397018620102423262589840*k^3*n^2*c[n, -31 + k] - 
  837218824493698865156043282336*k^4*n^2*c[n, -31 + k] - 
  151031394367410429168854285664*k^5*n^2*c[n, -31 + k] + 
  36159096087344744265015159984*k^6*n^2*c[n, -31 + k] - 
  2626779218332883468710046688*k^7*n^2*c[n, -31 + k] + 
  90666506039621010459364944*k^8*n^2*c[n, -31 + k] - 
  1533055645433198031664464*k^9*n^2*c[n, -31 + k] + 
  10246283124585335278704*k^10*n^2*c[n, -31 + k] - 
  1889278404245528964372047116800*n^3*c[n, -31 + k] - 
  688756221956768093862238688832*k*n^3*c[n, -31 + k] + 
  865998541465372632948288695352*k^2*n^3*c[n, -31 + k] + 
  95965328759449129462698969384*k^3*n^3*c[n, -31 + k] - 
  81602890649424127552851968040*k^4*n^3*c[n, -31 + k] + 
  11288113897632937045922698344*k^5*n^3*c[n, -31 + k] - 
  695029091072958315919672704*k^6*n^3*c[n, -31 + k] + 
  21996296855237873376793008*k^7*n^3*c[n, -31 + k] - 
  349998243210097366568112*k^8*n^3*c[n, -31 + k] + 
  2219325910167384326880*k^9*n^3*c[n, -31 + k] - 
  194127233248402177712000603760*n^4*c[n, -31 + k] - 
  19578404123739786302246887344*k*n^4*c[n, -31 + k] + 
  46799209103922974880673203780*k^2*n^4*c[n, -31 + k] - 
  7587572739284201870309573772*k^3*n^4*c[n, -31 + k] + 
  566796903336932533128642132*k^4*n^4*c[n, -31 + k] - 
  22904280069816854180913228*k^5*n^4*c[n, -31 + k] + 
  478586996213958105002712*k^6*n^4*c[n, -31 + k] - 
  4060573668148772146680*k^7*n^4*c[n, -31 + k] - 
  7844404749102624673259017560*n^5*c[n, -31 + k] + 
  1394203700881632427740205272*k*n^5*c[n, -31 + k] - 
  145541502769086862805368566*k^2*n^5*c[n, -31 + k] + 
  8177090009322718683127026*k^3*n^5*c[n, -31 + k] - 
  215264361435494921522082*k^4*n^5*c[n, -31 + k] + 
  1395125767457179630470*k^5*n^5*c[n, -31 + k] + 
  9696094966318905287074620*n^6*c[n, -31 + k] - 
  974703947344717381241148*k*n^6*c[n, -31 + k] + 
  31790409393324641998788*k^2*n^6*c[n, -31 + k] + 
  362973820365785563020*k^3*n^6*c[n, -31 + k] - 
  140766699429463623120*k^4*n^6*c[n, -31 + k] + 
  5460848833350216150*n^7*c[n, -31 + k] - 164703491671647096090*k*n^7*
   c[n, -31 + k] + 110907096520183460640*k^2*n^7*c[n, -31 + k] - 
  21845337193369469520*n^8*c[n, -31 + k] - 760409173592337599853102670970880*
   c[n, -30 + k] - 818995142705864192661546084870144*k*c[n, -30 + k] + 
  773120363998389225012696525719040*k^2*c[n, -30 + k] + 
  955757948329845024224189459533056*k^3*c[n, -30 + k] + 
  46374374479730963572745043619968*k^4*c[n, -30 + k] - 
  162830415516924095319695436579456*k^5*c[n, -30 + k] - 
  35577946461846825492047565895872*k^6*c[n, -30 + k] + 
  2127628021519099588180158858816*k^7*c[n, -30 + k] + 
  485380186140958164306178246656*k^8*c[n, -30 + k] - 
  55272891042932032528544927232*k^9*c[n, -30 + k] + 
  2299620398603752689646291776*k^10*c[n, -30 + k] - 
  43788988660168352266142400*k^11*c[n, -30 + k] + 
  320980431212465557116672*k^12*c[n, -30 + k] - 
  795405308938880495538019135518720*n*c[n, -30 + k] - 
  676017889364579895464796416853504*k*n*c[n, -30 + k] + 
  663220646638580132237404616693760*k^2*n*c[n, -30 + k] + 
  532628279489115120724445390006592*k^3*n*c[n, -30 + k] - 
  67957773229294128429453510909408*k^4*n*c[n, -30 + k] - 
  71102231826369827109931587501792*k^5*n*c[n, -30 + k] - 
  752661215497910601691942339440*k^6*n*c[n, -30 + k] + 
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  30330527152141565560438456320000*c[n, -5 + k] - 
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  1497416340262802366553154992000*k^4*n^3*c[n, -5 + k] + 
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  147351827185122651292871280000*k^6*n^3*c[n, -5 + k] - 
  52821390997966063550271912000*k^7*n^3*c[n, -5 + k] + 
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  86188034164849880547071124000*k^4*n^4*c[n, -5 + k] + 
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  7307853853934916236656260000*k^6*n^4*c[n, -5 + k] + 
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  19992964963524332420216160000*k^2*n^5*c[n, -5 + k] - 
  21116113132482401427228348000*k^3*n^5*c[n, -5 + k] + 
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  2914252216671061286292168000*k*n^6*c[n, -5 + k] - 
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  102054391285645192368204000*k^3*n^6*c[n, -5 + k] + 
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  16456628018901797535240000*k^2*n^7*c[n, -5 + k] + 
  3540670879564901213820000*n^8*c[n, -5 + k] + 279698417804920506866073600000*
   c[n, -4 + k] - 553919753421681999246766080000*k*c[n, -4 + k] - 
  60021321076979950134000640000*k^2*c[n, -4 + k] + 
  711365730165387334699691520000*k^3*c[n, -4 + k] - 
  283680196009515948409104000000*k^4*c[n, -4 + k] - 
  248151174090696023892661440000*k^5*c[n, -4 + k] + 
  159345279053554169334814720000*k^6*c[n, -4 + k] + 
  15998669219352823438184640000*k^7*c[n, -4 + k] - 
  23170578898461764861485440000*k^8*c[n, -4 + k] + 
  1789444910747825015106240000*k^9*c[n, -4 + k] + 
  887742004479085303822080000*k^10*c[n, -4 + k] - 
  151823328270468390233280000*k^11*c[n, -4 + k] + 
  9563667164410276558080000*k^12*c[n, -4 + k] + 
  161832609848621566989189120000*n*c[n, -4 + k] - 
  426720190193222317555028480000*k*n*c[n, -4 + k] + 
  187295026888447196265490560000*k^2*n*c[n, -4 + k] + 
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  365858048463746597113279680000*k^4*n*c[n, -4 + k] - 
  53872424654355920742831200000*k^5*n*c[n, -4 + k] + 
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  17131469008898157659542080000*k^7*n*c[n, -4 + k] - 
  9930983896036893237638400000*k^8*n*c[n, -4 + k] + 
  1982783802413168153246880000*k^9*n*c[n, -4 + k] + 
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  2412629954218960365626880000*n^2*c[n, -4 + k] - 
  75066061574856449351863680000*k*n^2*c[n, -4 + k] + 
  155796767188654290429543360000*k^2*n^2*c[n, -4 + k] + 
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  133966834088978073966096000000*k^4*n^2*c[n, -4 + k] + 
  42060317208011810634932640000*k^5*n^2*c[n, -4 + k] + 
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  10790935013048309464082400000*k^7*n^2*c[n, -4 + k] - 
  433382173553743736634720000*k^8*n^2*c[n, -4 + k] + 
  336897384935386782893760000*k^9*n^2*c[n, -4 + k] - 
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  19991278486621017912410880000*n^3*c[n, -4 + k] + 
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  36772583618160197261666880000*k^2*n^3*c[n, -4 + k] - 
  29115976452469173626903040000*k^3*n^3*c[n, -4 + k] - 
  12714633790885977892192800000*k^4*n^3*c[n, -4 + k] + 
  14235588998118620705495520000*k^5*n^3*c[n, -4 + k] - 
  489796510491513425419920000*k^6*n^3*c[n, -4 + k] - 
  1310677417150072092450720000*k^7*n^3*c[n, -4 + k] + 
  171989682808607139904560000*k^8*n^3*c[n, -4 + k] - 
  1353136821388761974400000*k^9*n^3*c[n, -4 + k] - 
  4947086030404942063111680000*n^4*c[n, -4 + k] + 
  3728761536067128261103680000*k*n^4*c[n, -4 + k] + 
  1621375006721690974789440000*k^2*n^4*c[n, -4 + k] - 
  4315663580410808646101280000*k^3*n^4*c[n, -4 + k] + 
  1318272506494159141000080000*k^4*n^4*c[n, -4 + k] + 
  927412260683767543585440000*k^5*n^4*c[n, -4 + k] - 
  357356093951919869078400000*k^6*n^4*c[n, -4 + k] + 
  14193316513749596168880000*k^7*n^4*c[n, -4 + k] - 
  416941354644742436483520000*n^5*c[n, -4 + k] - 
  321082270188501076564320000*k*n^5*c[n, -4 + k] - 
  359089794230755923847080000*k^2*n^5*c[n, -4 + k] + 
  83716303520953013912820000*k^3*n^5*c[n, -4 + k] + 
  191117475205314886485000000*k^4*n^5*c[n, -4 + k] - 
  37044790207092310927860000*k^5*n^5*c[n, -4 + k] - 
  16871309830959267078720000*n^6*c[n, -4 + k] - 
  136932275271079347518520000*k*n^6*c[n, -4 + k] - 
  22499954004049277530500000*k^2*n^6*c[n, -4 + k] + 
  30408516627571495261980000*k^3*n^6*c[n, -4 + k] - 
  548407096824297791520000*k^4*n^6*c[n, -4 + k] - 
  3578772786848569271520000*n^7*c[n, -4 + k] - 8999180584253276497200000*k*
   n^7*c[n, -4 + k] + 1101092159451789770040000*k^2*n^7*c[n, -4 + k] - 
  348657242462361326520000*n^8*c[n, -4 + k] - 211310667768166686720000000*
   c[n, -3 + k] - 19350970553615073484800000*k*c[n, -3 + k] - 
  527403809396986952064000000*k^2*c[n, -3 + k] - 
  2602957788956426521612800000*k^3*c[n, -3 + k] + 
  4238471136704245719020800000*k^4*c[n, -3 + k] + 
  2449114352230538267913600000*k^5*c[n, -3 + k] - 
  3324228026297098461491200000*k^6*c[n, -3 + k] - 
  902003727490972250601600000*k^7*c[n, -3 + k] + 
  871179537303095434329600000*k^8*c[n, -3 + k] + 
  121330084009500832694400000*k^9*c[n, -3 + k] - 
  91769079444342580454400000*k^10*c[n, -3 + k] - 
  4604834513559994876800000*k^11*c[n, -3 + k] + 
  3533794173788267347200000*k^12*c[n, -3 + k] - 
  361284039159738755174400000*n*c[n, -3 + k] - 1994336347118852520102400000*k*
   n*c[n, -3 + k] - 4669278747207997396480000000*k^2*n*c[n, -3 + k] + 
  4027225593183036760553600000*k^3*n*c[n, -3 + k] + 
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  129629098688186922480000000*k^9*n*c[n, -3 + k] - 
  33986210906639046528000000*k^10*n*c[n, -3 + k] + 
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  865670666205305595148800000*n^2*c[n, -3 + k] - 
  3830209989666023857708800000*k*n^2*c[n, -3 + k] - 
  3153001156237450178136000000*k^2*n^2*c[n, -3 + k] + 
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  965923000592025455042400000*k^6*n^2*c[n, -3 + k] + 
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  12785277199907520000000*k^9*n^3*c[n, -3 + k] - 
  496817812474309761926400000*n^4*c[n, -3 + k] - 
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  143660979867064618670400000*n^5*c[n, -3 + k] - 
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  40207228151665309668000000*k^2*n^5*c[n, -3 + k] + 
  76641168256979738398200000*k^3*n^5*c[n, -3 + k] - 
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  2643514147183577077800000*k^5*n^5*c[n, -3 + k] - 
  23270378972845258612800000*n^6*c[n, -3 + k] - 
  24893850208820109022800000*k*n^6*c[n, -3 + k] + 
  5349864699986340350700000*k^2*n^6*c[n, -3 + k] + 
  3257867487063363395400000*k^3*n^6*c[n, -3 + k] - 
  245498396542879342500000*k^4*n^6*c[n, -3 + k] - 
  1985970047841536140800000*n^7*c[n, -3 + k] - 1124692976808790721100000*k*
   n^7*c[n, -3 + k] + 273284276111202530700000*k^2*n^7*c[n, -3 + k] - 
  69558976525215130200000*n^8*c[n, -3 + k] + 8685977216314245120000000*
   c[n, -2 + k] + 76924691376306720768000000*k*c[n, -2 + k] + 
  98030504310892490752000000*k^2*c[n, -2 + k] - 
  163922219718906022400000000*k^3*c[n, -2 + k] - 
  300359527884843998464000000*k^4*c[n, -2 + k] + 
  49703113605571800320000000*k^5*c[n, -2 + k] + 
  242571344353556568672000000*k^6*c[n, -2 + k] + 
  52173223056585866016000000*k^7*c[n, -2 + k] - 
  51638063591410272576000000*k^8*c[n, -2 + k] - 
  15865269518924180928000000*k^9*c[n, -2 + k] + 
  2682772359764695776000000*k^10*c[n, -2 + k] + 
  988707981220638624000000*k^11*c[n, -2 + k] + 24746453871448320000000*k^12*
   c[n, -2 + k] + 33313482383156551680000000*n*c[n, -2 + k] + 
  181899535755045847552000000*k*n*c[n, -2 + k] + 
  129893079909757448192000000*k^2*n*c[n, -2 + k] - 
  312771149782656853632000000*k^3*n*c[n, -2 + k] - 
  378254614215916012256000000*k^4*n*c[n, -2 + k] + 
  60114376749101547440000000*k^5*n*c[n, -2 + k] + 
  195296496417190506384000000*k^6*n*c[n, -2 + k] + 
  28017636157456268544000000*k^7*n*c[n, -2 + k] - 
  26944565114870072352000000*k^8*n*c[n, -2 + k] - 
  5126225597291792880000000*k^9*n*c[n, -2 + k] + 
  557842022574042096000000*k^10*n*c[n, -2 + k] + 
  25424464008905280000000*k^11*n*c[n, -2 + k] + 
  48972825433492646400000000*n^2*c[n, -2 + k] + 
  178587207798851458176000000*k*n^2*c[n, -2 + k] + 
  47776689186836188992000000*k^2*n^2*c[n, -2 + k] - 
  236842978189088139120000000*k^3*n^2*c[n, -2 + k] - 
  190244731597373567952000000*k^4*n^2*c[n, -2 + k] + 
  29668493682303128352000000*k^5*n^2*c[n, -2 + k] + 
  62899138661245750728000000*k^6*n^2*c[n, -2 + k] + 
  5875651311397205688000000*k^7*n^2*c[n, -2 + k] - 
  4846628915399316888000000*k^8*n^2*c[n, -2 + k] - 
  500931741124532520000000*k^9*n^2*c[n, -2 + k] + 
  5317036373198880000000*k^10*n^2*c[n, -2 + k] + 
  37113462442578787200000000*n^3*c[n, -2 + k] + 
  93836638045143508032000000*k*n^3*c[n, -2 + k] - 
  5962971502150019280000000*k^2*n^3*c[n, -2 + k] - 
  89608828461265746432000000*k^3*n^3*c[n, -2 + k] - 
  43491829819534846488000000*k^4*n^3*c[n, -2 + k] + 
  9035186852830604508000000*k^5*n^3*c[n, -2 + k] + 
  9551699719169831748000000*k^6*n^3*c[n, -2 + k] + 
  362150871730144092000000*k^7*n^3*c[n, -2 + k] - 
  318378129108327684000000*k^8*n^3*c[n, -2 + k] + 
  126426501907200000000*k^9*n^3*c[n, -2 + k] + 16187754628345098240000000*n^4*
   c[n, -2 + k] + 28457078407556645664000000*k*n^4*c[n, -2 + k] - 
  7933031544492174384000000*k^2*n^4*c[n, -2 + k] - 
  17393458599457720920000000*k^3*n^4*c[n, -2 + k] - 
  3962985354912425220000000*k^4*n^4*c[n, -2 + k] + 
  1378922749765735392000000*k^5*n^4*c[n, -2 + k] + 
  551228240288108664000000*k^6*n^4*c[n, -2 + k] - 
  15311527841439324000000*k^7*n^4*c[n, -2 + k] + 
  4231524346483299840000000*n^5*c[n, -2 + k] + 4989581637717843360000000*k*
   n^5*c[n, -2 + k] - 1957921292177469720000000*k^2*n^5*c[n, -2 + k] - 
  1590126830693051112000000*k^3*n^5*c[n, -2 + k] - 
  38146354271507250000000*k^4*n^5*c[n, -2 + k] + 
  68872270015128618000000*k^5*n^5*c[n, -2 + k] + 
  655671124852866720000000*n^6*c[n, -2 + k] + 469747282687096176000000*k*n^6*
   c[n, -2 + k] - 198845227931234940000000*k^2*n^6*c[n, -2 + k] - 
  49802108938508619000000*k^3*n^6*c[n, -2 + k] + 
  5328001484394435000000*k^4*n^6*c[n, -2 + k] + 
  55578238183770120000000*n^7*c[n, -2 + k] + 18375683030592300000000*k*n^7*
   c[n, -2 + k] - 7142448988550295000000*k^2*n^7*c[n, -2 + k] + 
  1986848820225360000000*n^8*c[n, -2 + k] + 104373445710643200000000*
   c[n, -1 + k] + 438890685197721600000000*k*c[n, -1 + k] + 
  520498025685734400000000*k^2*c[n, -1 + k] - 105291072294604800000000*k^3*
   c[n, -1 + k] - 651174039253497600000000*k^4*c[n, -1 + k] - 
  433730234824224000000000*k^5*c[n, -1 + k] - 5431215853382400000000*k^6*
   c[n, -1 + k] + 101574298625011200000000*k^7*c[n, -1 + k] + 
  34722387935827200000000*k^8*c[n, -1 + k] - 1418100184339200000000*k^9*
   c[n, -1 + k] - 2589419677996800000000*k^10*c[n, -1 + k] - 
  409179829132800000000*k^11*c[n, -1 + k] - 15581237760000000000*k^12*
   c[n, -1 + k] + 48747350474035200000000*n*c[n, -1 + k] + 
  382116647078054400000000*k*n*c[n, -1 + k] + 595023229048550400000000*k^2*n*
   c[n, -1 + k] + 92897957616816000000000*k^3*n*c[n, -1 + k] - 
  407589632409816000000000*k^4*n*c[n, -1 + k] - 
  302667472991155200000000*k^5*n*c[n, -1 + k] - 
  38576298992918400000000*k^6*n*c[n, -1 + k] + 35260991427052800000000*k^7*n*
   c[n, -1 + k] + 14679586060286400000000*k^8*n*c[n, -1 + k] + 
  1668288592713600000000*k^9*n*c[n, -1 + k] - 25308400233600000000*k^10*n*
   c[n, -1 + k] - 7363828454400000000*k^11*n*c[n, -1 + k] - 
  85244936443430400000000*n^2*c[n, -1 + k] + 23084309139206400000000*k*n^2*
   c[n, -1 + k] + 285718654292443200000000*k^2*n^2*c[n, -1 + k] + 
  168180541246663200000000*k^3*n^2*c[n, -1 + k] - 
  75673427310885600000000*k^4*n^2*c[n, -1 + k] - 
  93318779140992000000000*k^5*n^2*c[n, -1 + k] - 
  22599441762076800000000*k^6*n^2*c[n, -1 + k] + 
  3831641210426400000000*k^7*n^2*c[n, -1 + k] + 
  2519506385748000000000*k^8*n^2*c[n, -1 + k] + 
  285740154532800000000*k^9*n^2*c[n, -1 + k] - 7936269580800000000*k^10*n^2*
   c[n, -1 + k] - 99142514332992000000000*n^3*c[n, -1 + k] - 
  89919936988480800000000*k*n^3*c[n, -1 + k] + 80705257534670400000000*k^2*
   n^3*c[n, -1 + k] + 85093532647074000000000*k^3*n^3*c[n, -1 + k] - 
  597632881816800000000*k^4*n^3*c[n, -1 + k] - 18527813275176000000000*k^5*
   n^3*c[n, -1 + k] - 4956916829896800000000*k^6*n^3*c[n, -1 + k] + 
  304181094927600000000*k^7*n^3*c[n, -1 + k] + 176331555180000000000*k^8*n^3*
   c[n, -1 + k] - 8383383360000000000*k^9*n^3*c[n, -1 + k] - 
  46013089772052000000000*n^4*c[n, -1 + k] - 44705654665027200000000*k*n^4*
   c[n, -1 + k] + 17159384901628800000000*k^2*n^4*c[n, -1 + k] + 
  20919395748920400000000*k^3*n^4*c[n, -1 + k] + 
  593322334225200000000*k^4*n^4*c[n, -1 + k] - 2439335770149600000000*k^5*n^4*
   c[n, -1 + k] - 383408876941200000000*k^6*n^4*c[n, -1 + k] + 
  38531721610800000000*k^7*n^4*c[n, -1 + k] - 11648429406806400000000*n^5*
   c[n, -1 + k] - 9613772988663600000000*k*n^5*c[n, -1 + k] + 
  3020781400011000000000*k^2*n^5*c[n, -1 + k] + 
  2598561649425600000000*k^3*n^5*c[n, -1 + k] - 
  110672801263800000000*k^4*n^5*c[n, -1 + k] - 148451978070000000000*k^5*n^5*
   c[n, -1 + k] - 1690830812361600000000*n^6*c[n, -1 + k] - 
  1005812823594600000000*k*n^6*c[n, -1 + k] + 355157579013300000000*k^2*n^6*
   c[n, -1 + k] + 131069283332400000000*k^3*n^6*c[n, -1 + k] - 
  18427919409900000000*k^4*n^6*c[n, -1 + k] - 132621266887200000000*n^7*
   c[n, -1 + k] - 41835558759750000000*k*n^7*c[n, -1 + k] + 
  18354291539850000000*k^2*n^7*c[n, -1 + k] - 4370681992950000000*n^8*
   c[n, -1 + k] + 37103080734720000000000*k*c[n, k] + 
  77912944091136000000000*k^2*c[n, k] + 18686635393536000000000*k^3*c[n, k] - 
  68212889344512000000000*k^4*c[n, k] - 64018968216192000000000*k^5*c[n, k] - 
  14526054601344000000000*k^6*c[n, k] + 7025492669184000000000*k^7*c[n, k] + 
  4869566076672000000000*k^8*c[n, k] + 1074784816512000000000*k^9*c[n, k] + 
  85408380288000000000*k^10*c[n, k] + 48262068062208000000000*k*n*c[n, k] + 
  95465650781952000000000*k^2*n*c[n, k] + 30839944126464000000000*k^3*n*
   c[n, k] - 46987804150848000000000*k^4*n*c[n, k] - 
  38118645157824000000000*k^5*n*c[n, k] - 4386177544320000000000*k^6*n*
   c[n, k] + 4398014890368000000000*k^7*n*c[n, k] + 
  1670504223168000000000*k^8*n*c[n, k] + 176950204992000000000*k^9*n*
   c[n, k] + 26855661051648000000000*k*n^2*c[n, k] + 
  49441618512000000000000*k^2*n^2*c[n, k] + 18192820402944000000000*k^3*n^2*
   c[n, k] - 12318410130048000000000*k^4*n^2*c[n, k] - 
  8692601217696000000000*k^5*n^2*c[n, k] - 215520012576000000000*k^6*n^2*
   c[n, k] + 783205337376000000000*k^7*n^2*c[n, k] + 
  134618353056000000000*k^8*n^2*c[n, k] + 8311920769152000000000*k*n^3*
   c[n, k] + 13948832297664000000000*k^2*n^3*c[n, k] + 
  5189727695328000000000*k^3*n^3*c[n, k] - 1612735988688000000000*k^4*n^3*
   c[n, k] - 1012174132464000000000*k^5*n^3*c[n, k] + 
  13881936816000000000*k^6*n^3*c[n, k] + 40061769264000000000*k^7*n^3*
   c[n, k] + 1551929258880000000000*k*n^4*c[n, k] + 
  2291197917888000000000*k^2*n^4*c[n, k] + 766482963840000000000*k^3*n^4*
   c[n, k] - 134543166912000000000*k^4*n^4*c[n, k] - 
  70923115296000000000*k^5*n^4*c[n, k] - 717475968000000000*k^6*n^4*c[n, k] + 
  175745430432000000000*k*n^5*c[n, k] + 214525314432000000000*k^2*n^5*
   c[n, k] + 55052616168000000000*k^3*n^5*c[n, k] - 
  9611830008000000000*k^4*n^5*c[n, k] - 2737494144000000000*k^5*n^5*c[n, k] + 
  11243664432000000000*k*n^6*c[n, k] + 10091815272000000000*k^2*n^6*c[n, k] + 
  1434759480000000000*k^3*n^6*c[n, k] - 400116024000000000*k^4*n^6*c[n, k] + 
  315242928000000000*k*n^7*c[n, k] + 157621464000000000*k^2*n^7*c[n, k] - 
  79495404790680577773444464640*c[2 + n, -31 + k] - 
  86083785736790559948878966784*k*c[2 + n, -31 + k] + 
  80355984404708927235947977728*k^2*c[2 + n, -31 + k] + 
  100375623715584057512979995136*k^3*c[2 + n, -31 + k] + 
  5400262675604346849940378752*k^4*c[2 + n, -31 + k] - 
  16989227320365543662949917952*k^5*c[2 + n, -31 + k] - 
  3809937366374841918797279616*k^6*c[2 + n, -31 + k] + 
  200573794019027805196923648*k^7*c[2 + n, -31 + k] + 
  51214124133744243114105216*k^8*c[2 + n, -31 + k] - 
  5520668563616407463096064*k^9*c[2 + n, -31 + k] + 
  221209899344017622229888*k^10*c[2 + n, -31 + k] - 
  4070030656266883401984*k^11*c[2 + n, -31 + k] + 
  28856348313615516672*k^12*c[2 + n, -31 + k] - 
  83117704277554600809584332800*n*c[2 + n, -31 + k] - 
  71110034358679508015696283648*k*n*c[2 + n, -31 + k] + 
  68912842119160394250074278656*k^2*n*c[2 + n, -31 + k] + 
  56017538533478054579336486784*k^3*n*c[2 + n, -31 + k] - 
  6801110429234874315508705824*k^4*n*c[2 + n, -31 + k] - 
  7457708689348583041124503968*k^5*n*c[2 + n, -31 + k] - 
  116717277609509309268546240*k^6*n*c[2 + n, -31 + k] + 
  149035399109184849553824192*k^7*n*c[2 + n, -31 + k] - 
  12846705135721895441115936*k^8*n*c[2 + n, -31 + k] + 
  476041808571619636439136*k^9*n*c[2 + n, -31 + k] - 
  8387494720795164623616*k^10*n*c[2 + n, -31 + k] + 
  57712696627231033344*k^11*n*c[2 + n, -31 + k] - 
  34608238131797992861084154880*n^2*c[2 + n, -31 + k] - 
  21331340614900413086121574272*k*n^2*c[2 + n, -31 + k] + 
  22469338331371397419201481184*k^2*n^2*c[2 + n, -31 + k] + 
  9731746674982628393760282816*k^3*n^2*c[2 + n, -31 + k] - 
  3166433994194910667603867536*k^4*n^2*c[2 + n, -31 + k] - 
  574499928875453091702648144*k^5*n^2*c[2 + n, -31 + k] + 
  136507047206187337435052064*k^6*n^2*c[2 + n, -31 + k] - 
  9870105870321686520509376*k^7*n^2*c[2 + n, -31 + k] + 
  339090677808090170576976*k^8*n^2*c[2 + n, -31 + k] - 
  5703075507135844571184*k^9*n^2*c[2 + n, -31 + k] + 
  37873957161620365632*k^10*n^2*c[2 + n, -31 + k] - 
  7165787491420143284042997120*n^3*c[2 + n, -31 + k] - 
  2616129390328409796985530432*k*n^3*c[2 + n, -31 + k] + 
  3281714810215350898822357464*k^2*n^3*c[2 + n, -31 + k] + 
  365936412075269569034147136*k^3*n^3*c[2 + n, -31 + k] - 
  308971845688778521136775000*k^4*n^3*c[2 + n, -31 + k] + 
  42590513943337205587990248*k^5*n^3*c[2 + n, -31 + k] - 
  2613182143186234867986864*k^6*n^3*c[2 + n, -31 + k] + 
  82245739857684271836984*k^7*n^3*c[2 + n, -31 + k] - 
  1296908722937798269200*k^8*n^3*c[2 + n, -31 + k] + 
  8115847963204364064*k^9*n^3*c[2 + n, -31 + k] - 
  736191702724899792426400800*n^4*c[2 + n, -31 + k] - 
  74677483387062608767838208*k*n^4*c[2 + n, -31 + k] + 
  177324176106007268572650312*k^2*n^4*c[2 + n, -31 + k] - 
  28651387975323744294191052*k^3*n^4*c[2 + n, -31 + k] + 
  2140353151077797801174880*k^4*n^4*c[2 + n, -31 + k] - 
  87176808573656082088392*k^5*n^4*c[2 + n, -31 + k] + 
  1835291953261244658888*k^6*n^4*c[2 + n, -31 + k] - 
  15392767440452629788*k^7*n^4*c[2 + n, -31 + k] - 
  29736452957268946746232440*n^5*c[2 + n, -31 + k] + 
  5267824037392819377380976*k*n^5*c[2 + n, -31 + k] - 
  553133749078900162284030*k^2*n^5*c[2 + n, -31 + k] + 
  31754198600153225749530*k^3*n^5*c[2 + n, -31 + k] - 
  953127625958683889490*k^4*n^5*c[2 + n, -31 + k] + 
  11604936814882828974*k^5*n^5*c[2 + n, -31 + k] + 
  37402641666232103444040*n^6*c[2 + n, -31 + k] - 
  3872011688346948595020*k*n^6*c[2 + n, -31 + k] + 
  208792523400671070900*k^2*n^6*c[2 + n, -31 + k] - 
  3961595593149662520*k^3*n^6*c[2 + n, -31 + k] - 
  15662899722946063770*n^7*c[2 + n, -31 + k] + 505254829772453670*k*n^7*
   c[2 + n, -31 + k] + 1670436982772202111642375782400*c[2 + n, -30 + k] + 
  1793752716155198900414882420736*k*c[2 + n, -30 + k] - 
  1708474706543049043176367607808*k^2*c[2 + n, -30 + k] - 
  2094765258297299171485859480448*k^3*c[2 + n, -30 + k] - 
  90868774225970596025010231936*k^4*c[2 + n, -30 + k] + 
  359696702244610313550496625184*k^5*c[2 + n, -30 + k] + 
  76424478252778953452884738176*k^6*c[2 + n, -30 + k] - 
  5257070015202013733238365856*k^7*c[2 + n, -30 + k] - 
  1069125149175327379133411904*k^8*c[2 + n, -30 + k] + 
  129544506068656562358395616*k^9*c[2 + n, -30 + k] - 
  5598894136940919968590080*k^10*c[2 + n, -30 + k] + 
  110023149372794180490528*k^11*c[2 + n, -30 + k] - 
  829175215697600764608*k^12*c[2 + n, -30 + k] + 
  1741961621697485604775841064960*n*c[2 + n, -30 + k] + 
  1472653672010949652613949376512*k*n*c[2 + n, -30 + k] - 
  1460519414010142744888978265088*k^2*n*c[2 + n, -30 + k] - 
  1157868661081533252509681652384*k^3*n*c[2 + n, -30 + k] + 
  156662819988926039595610144704*k^4*n*c[2 + n, -30 + k] + 
  154983683984228657529063989832*k^5*n*c[2 + n, -30 + k] + 
  442880666270011439964361368*k^6*n*c[2 + n, -30 + k] - 
  3236751527737055729096066256*k^7*n*c[2 + n, -30 + k] + 
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   c[2 + n, -2 + k] - 73413732812400000000*k^2*n^6*c[2 + n, -2 + k] - 
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   c[2 + n, -2 + k] - 2774828508480000000*k^2*n^7*c[2 + n, -2 + k] + 
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   c[4 + n, -30 + k] + 10499617939769736751127900160*k*c[4 + n, -30 + k] - 
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   n*c[4 + n, -30 + k] + 8647477605093047625281134080*k*n*c[4 + n, -30 + k] - 
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  156662331452640000000*n^6*c[6 + n, -5 + k] - 194464873476720000000*k*n^6*
   c[6 + n, -5 + k] + 47516785247160000000*k^2*n^6*c[6 + n, -5 + k] + 
  8497543535280000000*k^3*n^6*c[6 + n, -5 + k] + 
  144292923720000000*k^4*n^6*c[6 + n, -5 + k] - 
  7304869325520000000*n^7*c[6 + n, -5 + k] - 1477115361720000000*k*n^7*
   c[6 + n, -5 + k] - 132737690520000000*k^2*n^7*c[6 + n, -5 + k] + 
  29898039600000000*n^8*c[6 + n, -5 + k] + 1111533364838400000000*k*
   c[6 + n, -4 + k] - 454602869760000000000*k^2*c[6 + n, -4 + k] - 
  1681714144665600000000*k^3*c[6 + n, -4 + k] + 
  316199395699200000000*k^4*c[6 + n, -4 + k] + 894106823097600000000*k^5*
   c[6 + n, -4 + k] - 6141453216000000000*k^6*c[6 + n, -4 + k] - 
  180922576838400000000*k^7*c[6 + n, -4 + k] - 14889423110400000000*k^8*
   c[6 + n, -4 + k] + 14900441184000000000*k^9*c[6 + n, -4 + k] + 
  1953230112000000000*k^10*c[6 + n, -4 + k] - 370285344000000000*k^11*
   c[6 + n, -4 + k] - 52501996800000000*k^12*c[6 + n, -4 + k] - 
  221880198758400000000*n*c[6 + n, -4 + k] + 1154095145779200000000*k*n*
   c[6 + n, -4 + k] - 478127603712000000000*k^2*n*c[6 + n, -4 + k] - 
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  5347702555200000000*k^9*n*c[6 + n, -4 + k] - 192379017600000000*k^10*n*
   c[6 + n, -4 + k] - 91878494400000000*k^11*n*c[6 + n, -4 + k] - 
  287733983846400000000*n^2*c[6 + n, -4 + k] + 483258056601600000000*k*n^2*
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  8140888800000000*k^7*n^4*c[6 + n, -4 + k] - 7109488713600000000*n^5*
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   c[6 + n, -4 + k] + 93407061600000000*k^2*n^6*c[6 + n, -4 + k] - 
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  21387693600000000*n^7*c[6 + n, -4 + k] + 7483039200000000*k*n^7*
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  4134628942705800*k^9*n^3*c[8 + n, -28 + k] + 188564355084176771918400*n^4*
   c[8 + n, -28 + k] + 12031383227835853904400*k*n^4*c[8 + n, -28 + k] - 
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   c[8 + n, -8 + k] + 11513213553558752870400000*k*c[8 + n, -8 + k] - 
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   c[8 + n, -8 + k] - 13138371326974419353600000*k*n*c[8 + n, -8 + k] - 
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  155857595768222400000*n^7*c[8 + n, -8 + k] - 22811048532460800000*k*n^7*
   c[8 + n, -8 + k] + 13764269055081600000*k^2*n^7*c[8 + n, -8 + k] - 
  2747452566268800000*n^8*c[8 + n, -8 + k] - 556551219340247040000000*
   c[8 + n, -7 + k] + 264916354328313856000000*k*c[8 + n, -7 + k] + 
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   c[8 + n, -7 + k] + 459167054701606912000000*k*n*c[8 + n, -7 + k] + 
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  19216731600000000*k^7*n^4*c[8 + n, -7 + k] + 340608045548160000000*n^5*
   c[8 + n, -7 + k] - 82206040170528000000*k*n^5*c[8 + n, -7 + k] - 
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   c[8 + n, -7 + k] + 8404179906528000000*k^2*n^6*c[8 + n, -7 + k] + 
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   c[8 + n, -7 + k] + 81792260352000000*k^2*n^7*c[8 + n, -7 + k] - 
  23752849536000000*n^8*c[8 + n, -7 + k] + 6179925904588800000000*
   c[8 + n, -6 + k] + 125660725608775680000000*k*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] + 7614372574080000000*k^10*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] + 136570978753904640000000*k*n*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] - 96642549472320000000*k*n^5*c[8 + n, -6 + k] - 
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  3225952604160000000*n^6*c[8 + n, -6 + k] - 8408235378240000000*k*n^6*
   c[8 + n, -6 + k] + 2414603422800000000*k^2*n^6*c[8 + n, -6 + k] + 
  78023936880000000*k^3*n^6*c[8 + n, -6 + k] - 
  416991032640000000*n^7*c[8 + n, -6 + k] - 18346713840000000*k*n^7*
   c[8 + n, -6 + k] - 29888050503218419040256000*c[10 + n, -26 + k] - 
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  29401805814796800*k^12*c[10 + n, -26 + k] - 31180882834308339553075200*n*
   c[10 + n, -26 + k] - 25452974642724199712332800*k*n*c[10 + n, -26 + k] + 
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  237920617479400430400*k^8*n^2*c[10 + n, -26 + k] - 
  4852968516590040000*k^9*n^2*c[10 + n, -26 + k] + 
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  144275390103600*k^3*n^6*c[10 + n, -26 + k] - 1033657235676450*k^4*n^6*
   c[10 + n, -26 + k] - 20475082445535900*n^7*c[10 + n, -26 + k] - 
  633419585498700*k*n^7*c[10 + n, -26 + k] + 814396609926900*k^2*n^7*
   c[10 + n, -26 + k] - 160411453470450*n^8*c[10 + n, -26 + k] + 
  1379061556082897531623833600*c[10 + n, -25 + k] + 
  1424808756823828861423411200*k*c[10 + n, -25 + k] - 
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  51421353027152230041091200*k^6*c[10 + n, -25 + k] - 
  7042043371913895748636800*k^7*c[10 + n, -25 + k] - 
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   c[10 + n, -23 + k] + 499239544789824085244439429120*k*c[10 + n, -23 + k] - 
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  27233991893867081055424000000*k*n^3*c[-2 + n, -2 + k] + 
  48243507282462559945228800000*k^2*n^3*c[-2 + n, -2 + k] - 
  11434656215263004793100800000*k^3*n^3*c[-2 + n, -2 + k] - 
  23598447203154928885747200000*k^4*n^3*c[-2 + n, -2 + k] + 
  2441818291528054697932800000*k^5*n^3*c[-2 + n, -2 + k] + 
  2293721844719303793715200000*k^6*n^3*c[-2 + n, -2 + k] - 
  82819083506481260928000000*k^7*n^3*c[-2 + n, -2 + k] + 
  53874140827944412800000000*k^8*n^3*c[-2 + n, -2 + k] + 
  1785893483118041308800000000*n^4*c[-2 + n, -2 + k] + 
  14402108552988106254787200000*k*n^4*c[-2 + n, -2 + k] + 
  13438013215204129867689600000*k^2*n^4*c[-2 + n, -2 + k] - 
  7666065803932872725289600000*k^3*n^4*c[-2 + n, -2 + k] - 
  4767572457989242440854400000*k^4*n^4*c[-2 + n, -2 + k] + 
  1082341863665250585696000000*k^5*n^4*c[-2 + n, -2 + k] + 
  294554000126443214361600000*k^6*n^4*c[-2 + n, -2 + k] + 
  6926036133945734784000000*k^7*n^4*c[-2 + n, -2 + k] - 
  548122524601516392816000000*n^5*c[-2 + n, -2 + k] + 
  2862001468016695523289600000*k*n^5*c[-2 + n, -2 + k] + 
  1663354992874045659321600000*k^2*n^5*c[-2 + n, -2 + k] - 
  1606484344680740613052800000*k^3*n^5*c[-2 + n, -2 + k] - 
  324690216160005668707200000*k^4*n^5*c[-2 + n, -2 + k] + 
  152012065549071372480000000*k^5*n^5*c[-2 + n, -2 + k] + 
  8097569538599989008000000*k^6*n^5*c[-2 + n, -2 + k] - 
  504636349545199873296000000*n^6*c[-2 + n, -2 + k] + 
  181497090441086849296800000*k*n^6*c[-2 + n, -2 + k] + 
  93005236018820644020000000*k^2*n^6*c[-2 + n, -2 + k] - 
  131063395005243922233600000*k^3*n^6*c[-2 + n, -2 + k] + 
  4476113002096303075200000*k^4*n^6*c[-2 + n, -2 + k] + 
  4382057535791979384000000*k^5*n^6*c[-2 + n, -2 + k] - 
  122558046768697613976000000*n^7*c[-2 + n, -2 + k] - 
  8906182089150910104000000*k*n^7*c[-2 + n, -2 + k] + 
  4088037667856575240800000*k^2*n^7*c[-2 + n, -2 + k] - 
  3249469809223581398400000*k^3*n^7*c[-2 + n, -2 + k] + 
  484144259368651200000000*k^4*n^7*c[-2 + n, -2 + k] - 
  12892327721723689416000000*n^8*c[-2 + n, -2 + k] - 
  1069526024491708330200000*k*n^8*c[-2 + n, -2 + k] + 
  221734876675279908600000*k^2*n^8*c[-2 + n, -2 + k] - 
  509257953059659479000000*n^9*c[-2 + n, -2 + k] - 
  244426944630082314240000000*c[-2 + n, -1 + k] - 
  1392280216254755773440000000*k*c[-2 + n, -1 + k] - 
  985039150859922301440000000*k^2*c[-2 + n, -1 + k] + 
  2513075574359665144320000000*k^3*c[-2 + n, -1 + k] + 
  2952072359244554519040000000*k^4*c[-2 + n, -1 + k] - 
  723466144282699906560000000*k^5*c[-2 + n, -1 + k] - 
  1952860523935565376000000000*k^6*c[-2 + n, -1 + k] - 
  523569714074125724160000000*k^7*c[-2 + n, -1 + k] + 
  210620255378944734720000000*k^8*c[-2 + n, -1 + k] + 
  125462851154133373440000000*k^9*c[-2 + n, -1 + k] + 
  19644376955552363520000000*k^10*c[-2 + n, -1 + k] + 
  767276944301260800000000*k^11*c[-2 + n, -1 + k] - 
  1529725216126362631680000000*n*c[-2 + n, -1 + k] - 
  4729660533875256714240000000*k*n*c[-2 + n, -1 + k] - 
  1711484668764367272960000000*k^2*n*c[-2 + n, -1 + k] + 
  5857393976202543152640000000*k^3*n*c[-2 + n, -1 + k] + 
  4731941242067214896640000000*k^4*n*c[-2 + n, -1 + k] - 
  1028721281801681249280000000*k^5*n*c[-2 + n, -1 + k] - 
  1659503149743570739200000000*k^6*n*c[-2 + n, -1 + k] - 
  124717157843143979520000000*k^7*n*c[-2 + n, -1 + k] + 
  185001438144632785920000000*k^8*n*c[-2 + n, -1 + k] + 
  43692035364663966720000000*k^9*n*c[-2 + n, -1 + k] + 
  1803115007518556160000000*k^10*n*c[-2 + n, -1 + k] - 
  2567273561178408401280000000*n^2*c[-2 + n, -1 + k] - 
  5685202944125589340800000000*k*n^2*c[-2 + n, -1 + k] - 
  434776074217738285440000000*k^2*n^2*c[-2 + n, -1 + k] + 
  6280756551357942960000000000*k^3*n^2*c[-2 + n, -1 + k] + 
  3690844939383634166400000000*k^4*n^2*c[-2 + n, -1 + k] - 
  464097174671168496000000000*k^5*n^2*c[-2 + n, -1 + k] - 
  593458145122047880320000000*k^6*n^2*c[-2 + n, -1 + k] - 
  8022054053931742080000000*k^7*n^2*c[-2 + n, -1 + k] + 
  29162454101174211840000000*k^8*n^2*c[-2 + n, -1 + k] + 
  1547032316611921920000000*k^9*n^2*c[-2 + n, -1 + k] - 
  1970678060295217113600000000*n^3*c[-2 + n, -1 + k] - 
  3253766734649372791680000000*k*n^3*c[-2 + n, -1 + k] + 
  721682176335491445120000000*k^2*n^3*c[-2 + n, -1 + k] + 
  3442884693310193927040000000*k^3*n^3*c[-2 + n, -1 + k] + 
  1373567597326413636480000000*k^4*n^3*c[-2 + n, -1 + k] - 
  189561420122867101440000000*k^5*n^3*c[-2 + n, -1 + k] - 
  127409015287931040000000000*k^6*n^3*c[-2 + n, -1 + k] - 
  3092890255102897920000000*k^7*n^3*c[-2 + n, -1 + k] + 
  573000606646364160000000*k^8*n^3*c[-2 + n, -1 + k] - 
  806603577535252198080000000*n^4*c[-2 + n, -1 + k] - 
  974555695101605618880000000*k*n^4*c[-2 + n, -1 + k] + 
  553321860330676767840000000*k^2*n^4*c[-2 + n, -1 + k] + 
  986919429388146397920000000*k^3*n^4*c[-2 + n, -1 + k] + 
  227210844107887840800000000*k^4*n^4*c[-2 + n, -1 + k] - 
  50482423768308251040000000*k^5*n^4*c[-2 + n, -1 + k] - 
  12104734629371376960000000*k^6*n^4*c[-2 + n, -1 + k] + 
  76509832821649920000000*k^7*n^4*c[-2 + n, -1 + k] - 
  182857279426097957280000000*n^5*c[-2 + n, -1 + k] - 
  149743318477058845920000000*k*n^5*c[-2 + n, -1 + k] + 
  160671090562147476000000000*k^2*n^5*c[-2 + n, -1 + k] + 
  145732210105463428320000000*k^3*n^5*c[-2 + n, -1 + k] + 
  12590691628609776960000000*k^4*n^5*c[-2 + n, -1 + k] - 
  4729197861575668800000000*k^5*n^5*c[-2 + n, -1 + k] - 
  1762779946752000000000*k^6*n^5*c[-2 + n, -1 + k] - 
  21329468923701675960000000*n^6*c[-2 + n, -1 + k] - 
  9107536134649200120000000*k*n^6*c[-2 + n, -1 + k] + 
  22284671973182571240000000*k^2*n^6*c[-2 + n, -1 + k] + 
  9976826434721342040000000*k^3*n^6*c[-2 + n, -1 + k] - 
  155903843139636240000000*k^4*n^6*c[-2 + n, -1 + k] - 
  928990654732800000000*k^5*n^6*c[-2 + n, -1 + k] - 
  765967764576371040000000*n^7*c[-2 + n, -1 + k] + 
  232271074788850080000000*k*n^7*c[-2 + n, -1 + k] + 
  1395011386206399600000000*k^2*n^7*c[-2 + n, -1 + k] + 
  219188501625416400000000*k^3*n^7*c[-2 + n, -1 + k] - 
  107170124371200000000*k^4*n^7*c[-2 + n, -1 + k] + 
  69977937919085280000000*n^8*c[-2 + n, -1 + k] + 
  37767055909590720000000*k*n^8*c[-2 + n, -1 + k] + 
  27008639787008880000000*k^2*n^8*c[-2 + n, -1 + k] + 
  5510070925065720000000*n^9*c[-2 + n, -1 + k] + 
  152080785432576000000000*k*c[-2 + n, k] - 46267874550374400000000*k^2*
   c[-2 + n, k] - 319213412042342400000000*k^3*c[-2 + n, k] + 
  115607382272870400000000*k^4*c[-2 + n, k] + 393180652577433600000000*k^5*
   c[-2 + n, k] + 51661517144371200000000*k^6*c[-2 + n, k] - 
  189557272001433600000000*k^7*c[-2 + n, k] - 124096356745574400000000*k^8*
   c[-2 + n, k] - 30640299589785600000000*k^9*c[-2 + n, k] - 
  2755122497740800000000*k^10*c[-2 + n, k] - 1025971439231692800000000*k*n*
   c[-2 + n, k] - 4083998039877888000000000*k^2*n*c[-2 + n, k] - 
  5074985431671091200000000*k^3*n*c[-2 + n, k] - 
  2485073455240780800000000*k^4*n*c[-2 + n, k] - 
  347972164120627200000000*k^5*n*c[-2 + n, k] - 
  19822813624627200000000*k^6*n*c[-2 + n, k] - 91058709985689600000000*k^7*n*
   c[-2 + n, k] - 42448111988198400000000*k^8*n*c[-2 + n, k] - 
  5449401801676800000000*k^9*n*c[-2 + n, k] - 2168947778978534400000000*k*n^2*
   c[-2 + n, k] - 5914378576649664000000000*k^2*n^2*c[-2 + n, k] - 
  5700340929222720000000000*k^3*n^2*c[-2 + n, k] - 
  2289777467044953600000000*k^4*n^2*c[-2 + n, k] - 
  252664840676160000000000*k^5*n^2*c[-2 + n, k] + 
  47778064271308800000000*k^6*n^2*c[-2 + n, k] + 
  1916772391987200000000*k^7*n^2*c[-2 + n, k] - 
  2126536567372800000000*k^8*n^2*c[-2 + n, k] - 
  1550650792565952000000000*k*n^3*c[-2 + n, k] - 
  3316786541821843200000000*k^2*n^3*c[-2 + n, k] - 
  2519229812788339200000000*k^3*n^3*c[-2 + n, k] - 
  760605688158624000000000*k^4*n^3*c[-2 + n, k] - 
  35452425174566400000000*k^5*n^3*c[-2 + n, k] + 
  20625757198041600000000*k^6*n^3*c[-2 + n, k] + 
  2131476374016000000000*k^7*n^3*c[-2 + n, k] - 
  558202625930822400000000*k*n^4*c[-2 + n, k] - 
  952154515953590400000000*k^2*n^4*c[-2 + n, k] - 
  558523430560656000000000*k^3*n^4*c[-2 + n, k] - 
  117963125220124800000000*k^4*n^4*c[-2 + n, k] + 
  240520910889600000000*k^5*n^4*c[-2 + n, k] + 1861438127155200000000*k^6*n^4*
   c[-2 + n, k] - 113307411637411200000000*k*n^5*c[-2 + n, k] - 
  152170778247364800000000*k^2*n^5*c[-2 + n, k] - 
  66079182302812800000000*k^3*n^5*c[-2 + n, k] - 
  8854123238769600000000*k^4*n^5*c[-2 + n, k] + 
  153099902736000000000*k^5*n^5*c[-2 + n, k] - 13173757208409600000000*k*n^6*
   c[-2 + n, k] - 13511131883568000000000*k^2*n^6*c[-2 + n, k] - 
  4012801993252800000000*k^3*n^6*c[-2 + n, k] - 
  275337676785600000000*k^4*n^6*c[-2 + n, k] - 819030380256000000000*k*n^7*
   c[-2 + n, k] - 610359885273600000000*k^2*n^7*c[-2 + n, k] - 
  100422347572800000000*k^3*n^7*c[-2 + n, k] - 21109266921600000000*k*n^8*
   c[-2 + n, k] - 10554633460800000000*k^2*n^8*c[-2 + n, k] + 
  66391225812141087048884453376*c[n, -31 + k] - 
  51860483775347766198907613184*k*c[n, -31 + k] - 
  54730242794141164598716357632*k^2*c[n, -31 + k] + 
  31922333230353814151118028800*k^3*c[n, -31 + k] + 
  15563539045785876250932937728*k^4*c[n, -31 + k] - 
  5138938552571412012479296512*k^5*c[n, -31 + k] - 
  2172399665509780885041325056*k^6*c[n, -31 + k] + 
  544142202266688461061120*k^7*c[n, -31 + k] + 26110594957800074553732096*k^8*
   c[n, -31 + k] - 1730426970557609308744704*k^9*c[n, -31 + k] + 
  42763906617160551026688*k^10*c[n, -31 + k] - 374806780070047902720*k^11*
   c[n, -31 + k] + 88686232586764931629849761792*n*c[n, -31 + k] - 
  49957023898612368993534386688*k*n*c[n, -31 + k] - 
  54737489686568322849520290048*k^2*n*c[n, -31 + k] + 
  19300371057201430177241326848*k^3*n*c[n, -31 + k] + 
  6050154760137256332930974208*k^4*n*c[n, -31 + k] - 
  2796998317550847573689896704*k^5*n*c[n, -31 + k] - 
  350647673087628494386043904*k^6*n*c[n, -31 + k] + 
  59649875689243148490200832*k^7*n*c[n, -31 + k] - 
  2750165035301846029386240*k^8*n*c[n, -31 + k] + 
  52043216019511684822272*k^9*n*c[n, -31 + k] - 
  349384502671915315968*k^10*n*c[n, -31 + k] + 49873922112746406904761586176*
   n^2*c[n, -31 + k] - 19570353389209820594542794624*k*n^2*c[n, -31 + k] - 
  22468657442260809743465467392*k^2*n^2*c[n, -31 + k] + 
  4234981334827460089749758208*k^3*n^2*c[n, -31 + k] + 
  695699048582956704940750080*k^4*n^2*c[n, -31 + k] - 
  377378035531570257193771776*k^5*n^2*c[n, -31 + k] + 
  24049473818837778601279488*k^6*n^2*c[n, -31 + k] - 
  474108031575851341840128*k^7*n^2*c[n, -31 + k] + 
  1941384647477525260032*k^8*n^2*c[n, -31 + k] + 
  4059807347275675776*k^9*n^2*c[n, -31 + k] + 15243252460634135032784426880*
   n^3*c[n, -31 + k] - 4064295089213785846088717760*k*n^3*c[n, -31 + k] - 
  4848557724118502996197394304*k^2*n^3*c[n, -31 + k] + 
  449618573032123255671107520*k^3*n^3*c[n, -31 + k] + 
  37880151668769667050602496*k^4*n^3*c[n, -31 + k] - 
  8567264639686828167853632*k^5*n^3*c[n, -31 + k] + 
  185190960543337465444224*k^6*n^3*c[n, -31 + k] + 
  8859239258727757939776*k^7*n^3*c[n, -31 + k] - 
  236334445307019480960*k^8*n^3*c[n, -31 + k] + 
  2719841652636196627832614848*n^4*c[n, -31 + k] - 
  498095609615155098134872704*k*n^4*c[n, -31 + k] - 
  577663220071506695303733120*k^2*n^4*c[n, -31 + k] + 
  36750931068707154255749184*k^3*n^4*c[n, -31 + k] + 
  3133562379462888587221248*k^4*n^4*c[n, -31 + k] - 
  453457419713008287360192*k^5*n^4*c[n, -31 + k] + 
  18514443750354894462912*k^6*n^4*c[n, -31 + k] - 
  198731773807357418496*k^7*n^4*c[n, -31 + k] + 
  281555435342218778449224768*n^5*c[n, -31 + k] - 
  38450263327877767324662720*k*n^5*c[n, -31 + k] - 
  35476803059328677610687024*k^2*n^5*c[n, -31 + k] + 
  2952973730090893118911056*k^3*n^5*c[n, -31 + k] - 
  59075894230133614655904*k^4*n^5*c[n, -31 + k] - 
  4381840785177141264*k^5*n^5*c[n, -31 + k] + 80920142743749577488*k^6*n^5*
   c[n, -31 + k] + 15649488940207166539098624*n^6*c[n, -31 + k] - 
  1806983711143424191806552*k*n^6*c[n, -31 + k] - 
  879905581354860605005968*k^2*n^6*c[n, -31 + k] + 
  73624343549734956966912*k^3*n^6*c[n, -31 + k] - 
  1788503946728822684064*k^4*n^6*c[n, -31 + k] + 
  55285561431229123368*k^5*n^6*c[n, -31 + k] + 387063977380641891633240*n^7*
   c[n, -31 + k] - 35369016031015048541484*k*n^7*c[n, -31 + k] - 
  7266845914517265240024*k^2*n^7*c[n, -31 + k] + 
  488171576282776971948*k^3*n^7*c[n, -31 + k] + 
  3269907444447806566716*n^8*c[n, -31 + k] - 203033791344352577076*k*n^8*
   c[n, -31 + k] - 3479780427438023280*k^2*n^8*c[n, -31 + k] + 
  1370822592627100080*n^9*c[n, -31 + k] - 4227158733453965224052926709760*
   c[n, -30 + k] - 211683288360813122891432853504*k*c[n, -30 + k] + 
  3762358561452325645740311322624*k^2*c[n, -30 + k] + 
  1256943313457845706147421560832*k^3*c[n, -30 + k] - 
  352150543809011997238293342720*k^4*c[n, -30 + k] - 
  205866615323783022461869077504*k^5*c[n, -30 + k] - 
  24042203607638462403094322688*k^6*c[n, -30 + k] + 
  1318910377825314371880787968*k^7*c[n, -30 + k] + 
  306381984033531045118118400*k^8*c[n, -30 + k] - 
  26529452822121520947213312*k^9*c[n, -30 + k] + 
  754084978156244792876544*k^10*c[n, -30 + k] - 
  7348974402980961146880*k^11*c[n, -30 + k] - 5183629827963053515857750786048*
   n*c[n, -30 + k] + 99024841875388806564001247232*k*n*c[n, -30 + k] + 
  3571947656118283121085699855360*k^2*n*c[n, -30 + k] + 
  654519535863284088984509130240*k^3*n*c[n, -30 + k] - 
  344154256912344478249468510848*k^4*n*c[n, -30 + k] - 
  76196665221768686919547651968*k^5*n*c[n, -30 + k] + 
  5242243042009468685815937280*k^6*n*c[n, -30 + k] + 
  1097060127664957695023346432*k^7*n*c[n, -30 + k] - 
  111121500475909724240785536*k^8*n*c[n, -30 + k] + 
  3521434903106326885920384*k^9*n*c[n, -30 + k] - 
  37443987937555776834048*k^10*n*c[n, -30 + k] - 
  2683467056940376969770418409472*n^2*c[n, -30 + k] + 
  208924043188616994190449378816*k*n^2*c[n, -30 + k] + 
  1370487765852713845643726719872*k^2*n^2*c[n, -30 + k] + 
  84466253972812840511652131328*k^3*n^2*c[n, -30 + k] - 
  97234921380696636006502481664*k^4*n^2*c[n, -30 + k] - 
  948021068648937710452859136*k^5*n^2*c[n, -30 + k] + 
  2072008111539437438194624896*k^6*n^2*c[n, -30 + k] - 
  152777126204835881692978944*k^7*n^2*c[n, -30 + k] + 
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  51241021617199347811440000*k*n^7*c[n, -4 + k] - 
  180433518382164621016440000*k^2*n^7*c[n, -4 + k] + 
  15974265014311284279720000*k^3*n^7*c[n, -4 + k] - 
  687085762235289912000000*k^4*n^7*c[n, -4 + k] + 
  74378153200672944858960000*n^8*c[n, -4 + k] - 
  6634777285113196291560000*k*n^8*c[n, -4 + k] - 
  2869690853225643305760000*k^2*n^8*c[n, -4 + k] + 
  1789313810167645781760000*n^9*c[n, -4 + k] + 359000629767047245824000000*
   c[n, -3 + k] + 125167183820521006387200000*k*c[n, -3 + k] + 
  14661645135902611168614400000*k^2*c[n, -3 + k] - 
  29534713158274229921817600000*k^3*c[n, -3 + k] + 
  499836808712050073164800000*k^4*c[n, -3 + k] + 
  21689155518365207441331200000*k^5*c[n, -3 + k] - 
  4349604342908699323315200000*k^6*c[n, -3 + k] - 
  4799018387721034769126400000*k^7*c[n, -3 + k] + 
  949937184778366693094400000*k^8*c[n, -3 + k] + 
  470477300861672901504000000*k^9*c[n, -3 + k] - 
  53896487915337740006400000*k^10*c[n, -3 + k] - 
  17987385388174775654400000*k^11*c[n, -3 + k] + 
  3309386888233738322380800000*n*c[n, -3 + k] + 
  20502623816287881894374400000*k*n*c[n, -3 + k] - 
  17619884635279808112640000000*k^2*n*c[n, -3 + k] - 
  37492288258388046944371200000*k^3*n*c[n, -3 + k] + 
  27163520923110207289356800000*k^4*n*c[n, -3 + k] + 
  15007160627869545632908800000*k^5*n*c[n, -3 + k] - 
  9788751876489057047923200000*k^6*n*c[n, -3 + k] - 
  1451587160493452188454400000*k^7*n*c[n, -3 + k] + 
  1183143094914972329971200000*k^8*n*c[n, -3 + k] + 
  26707489585539167116800000*k^9*n*c[n, -3 + k] - 
  46282673337277656153600000*k^10*n*c[n, -3 + k] + 
  8535858298785432415539200000*n^2*c[n, -3 + k] + 
  25405646637408798469433600000*k*n^2*c[n, -3 + k] - 
  31833236954383602685945600000*k^2*n^2*c[n, -3 + k] - 
  16752811723075830017619200000*k^3*n^2*c[n, -3 + k] + 
  22711998492219702144499200000*k^4*n^2*c[n, -3 + k] + 
  2143089506929912596633600000*k^5*n^2*c[n, -3 + k] - 
  4108511300076279939974400000*k^6*n^2*c[n, -3 + k] + 
  327534575728937795078400000*k^7*n^2*c[n, -3 + k] + 
  182441297067078770265600000*k^8*n^2*c[n, -3 + k] - 
  38660170473509723424000000*k^9*n^2*c[n, -3 + k] + 
  9689747740619439528934400000*n^3*c[n, -3 + k] + 
  14658616534914633870025600000*k*n^3*c[n, -3 + k] - 
  17444328475786561927491200000*k^2*n^3*c[n, -3 + k] - 
  3042074808374101705468800000*k^3*n^3*c[n, -3 + k] + 
  7726751566687756146470400000*k^4*n^3*c[n, -3 + k] - 
  528050736681360255446400000*k^5*n^3*c[n, -3 + k] - 
  660469019879397735043200000*k^6*n^3*c[n, -3 + k] + 
  81403813768292411299200000*k^7*n^3*c[n, -3 + k] - 
  8922551588482144377600000*k^8*n^3*c[n, -3 + k] + 
  6137609554588291123075200000*n^4*c[n, -3 + k] + 
  5376751925867380394668800000*k*n^4*c[n, -3 + k] - 
  5031410638809118467355200000*k^2*n^4*c[n, -3 + k] - 
  130671244598050302595200000*k^3*n^4*c[n, -3 + k] + 
  1313600532324120775526400000*k^4*n^4*c[n, -3 + k] - 
  201149666719419229257600000*k^5*n^4*c[n, -3 + k] - 
  52469262236921878497600000*k^6*n^4*c[n, -3 + k] - 
  32354586557109273600000*k^7*n^4*c[n, -3 + k] + 
  2325685572244256314752000000*n^5*c[n, -3 + k] + 
  1312690391002545571094400000*k*n^5*c[n, -3 + k] - 
  909342816126537961591200000*k^2*n^5*c[n, -3 + k] + 
  20484893420766177544800000*k^3*n^5*c[n, -3 + k] + 
  110714673989751440011200000*k^4*n^5*c[n, -3 + k] - 
  24765699390426749700000000*k^5*n^5*c[n, -3 + k] - 
  2469403368260698716000000*k^6*n^5*c[n, -3 + k] + 
  534872735131588632720000000*n^6*c[n, -3 + k] + 
  197621534485280615778000000*k*n^6*c[n, -3 + k] - 
  109319009563687648672800000*k^2*n^6*c[n, -3 + k] + 
  3067367256074661040800000*k^3*n^6*c[n, -3 + k] + 
  3432606102692703129600000*k^4*n^6*c[n, -3 + k] - 
  1260482467994285778000000*k^5*n^6*c[n, -3 + k] + 
  72847812318047859592800000*n^7*c[n, -3 + k] + 
  15948949258153657524600000*k*n^7*c[n, -3 + k] - 
  7800677080883340210000000*k^2*n^7*c[n, -3 + k] + 
  269461498883383006200000*k^3*n^7*c[n, -3 + k] - 
  84765245718803760000000*k^4*n^7*c[n, -3 + k] + 
  5386422865196739951000000*n^8*c[n, -3 + k] + 510526963160230667400000*k*n^8*
   c[n, -3 + k] - 220951136690508945600000*k^2*n^8*c[n, -3 + k] + 
  166113187720940444400000*n^9*c[n, -3 + k] - 88379466125541212160000000*
   c[n, -2 + k] + 617826439433803345920000000*k*c[n, -2 + k] + 
  1648088954786307409920000000*k^2*c[n, -2 + k] - 
  5188719444471383040000000*k^3*c[n, -2 + k] - 1977334381705860898560000000*
   k^4*c[n, -2 + k] - 872488116242466209280000000*k^5*c[n, -2 + k] + 
  416150249449450233600000000*k^6*c[n, -2 + k] + 
  280975231556674329600000000*k^7*c[n, -2 + k] + 
  5622151413297196800000000*k^8*c[n, -2 + k] - 20892287927593889280000000*k^9*
   c[n, -2 + k] - 4139721845749036800000000*k^10*c[n, -2 + k] - 
  240333347849886720000000*k^11*c[n, -2 + k] - 344797541520220416000000000*n*
   c[n, -2 + k] + 1708268057570920017920000000*k*n*c[n, -2 + k] + 
  3500014515821026616320000000*k^2*n*c[n, -2 + k] - 
  497690719667038005760000000*k^3*n*c[n, -2 + k] - 
  2812665011879252672640000000*k^4*n*c[n, -2 + k] - 
  560343547591166321280000000*k^5*n*c[n, -2 + k] + 
  548040311070213680640000000*k^6*n*c[n, -2 + k] + 
  162772990599904392960000000*k^7*n*c[n, -2 + k] - 
  20611900250839486080000000*k^8*n*c[n, -2 + k] - 
  8976116161573038720000000*k^9*n*c[n, -2 + k] - 
  516815453523536640000000*k^10*n*c[n, -2 + k] - 
  528120620182236500480000000*n^2*c[n, -2 + k] + 
  1924275012015106666240000000*k*n^2*c[n, -2 + k] + 
  3063646869016997252160000000*k^2*n^2*c[n, -2 + k] - 
  619087947136753580160000000*k^3*n^2*c[n, -2 + k] - 
  1599821964070442942400000000*k^4*n^2*c[n, -2 + k] - 
  82173496077977097600000000*k^5*n^2*c[n, -2 + k] + 
  224351357394961932480000000*k^6*n^2*c[n, -2 + k] + 
  27278105569768828800000000*k^7*n^2*c[n, -2 + k] - 
  5435307919997271360000000*k^8*n^2*c[n, -2 + k] - 
  377322060621179520000000*k^9*n^2*c[n, -2 + k] - 
  427937096600062446080000000*n^3*c[n, -2 + k] + 
  1161655861619323885120000000*k*n^3*c[n, -2 + k] + 
  1419670383486106953120000000*k^2*n^3*c[n, -2 + k] - 
  361958496656127144480000000*k^3*n^3*c[n, -2 + k] - 
  475197657249687310080000000*k^4*n^3*c[n, -2 + k] + 
  23204614785869154240000000*k^5*n^3*c[n, -2 + k] + 
  40592664817674795360000000*k^6*n^3*c[n, -2 + k] + 
  1537061705472569760000000*k^7*n^3*c[n, -2 + k] - 
  105760545510913920000000*k^8*n^3*c[n, -2 + k] - 
  206727276856924895040000000*n^4*c[n, -2 + k] + 
  409648906956213593280000000*k*n^4*c[n, -2 + k] + 
  370959971478800977440000000*k^2*n^4*c[n, -2 + k] - 
  116795099691466106400000000*k^3*n^4*c[n, -2 + k] - 
  73803156537564879120000000*k^4*n^4*c[n, -2 + k] + 
  9698545173922392960000000*k^5*n^4*c[n, -2 + k] + 
  3003485386238370000000000*k^6*n^4*c[n, -2 + k] - 
  13544123137585920000000*k^7*n^4*c[n, -2 + k] - 
  62967415868335821600000000*n^5*c[n, -2 + k] + 
  86029766311850560800000000*k*n^5*c[n, -2 + k] + 
  54126593280453009600000000*k^2*n^5*c[n, -2 + k] - 
  19994750080818225840000000*k^3*n^5*c[n, -2 + k] - 
  4800569565894152040000000*k^4*n^5*c[n, -2 + k] + 
  981273255936775560000000*k^5*n^5*c[n, -2 + k] - 
  4485528271770480000000*k^6*n^5*c[n, -2 + k] - 
  12281467228307153280000000*n^6*c[n, -2 + k] + 
  10432086427791327600000000*k*n^6*c[n, -2 + k] + 
  4088500460384439420000000*k^2*n^6*c[n, -2 + k] - 
  1565507777594322960000000*k^3*n^6*c[n, -2 + k] - 
  24198156122027580000000*k^4*n^6*c[n, -2 + k] - 
  755523835018920000000*k^5*n^6*c[n, -2 + k] - 1495964649733350480000000*n^7*
   c[n, -2 + k] + 657550368177591060000000*k*n^7*c[n, -2 + k] + 
  135519837492598470000000*k^2*n^7*c[n, -2 + k] - 
  35049365405096130000000*k^3*n^7*c[n, -2 + k] + 
  66961639483200000000*k^4*n^7*c[n, -2 + k] - 104060821150684260000000*n^8*
   c[n, -2 + k] + 15885904779738540000000*k*n^8*c[n, -2 + k] + 
  1837531055912310000000*k^2*n^8*c[n, -2 + k] - 
  3164755484420010000000*n^9*c[n, -2 + k] - 797962595512320000000000*
   c[n, -1 + k] - 1311693745877913600000000*k*c[n, -1 + k] + 
  953751249411840000000000*k^2*c[n, -1 + k] + 2817507623369932800000000*k^3*
   c[n, -1 + k] + 890575271939174400000000*k^4*c[n, -1 + k] - 
  1374784162323609600000000*k^5*c[n, -1 + k] - 1184462411627059200000000*k^6*
   c[n, -1 + k] - 204559956560793600000000*k^7*c[n, -1 + k] + 
  126960226113945600000000*k^8*c[n, -1 + k] + 70369880416819200000000*k^9*
   c[n, -1 + k] + 13375777809715200000000*k^10*c[n, -1 + k] + 
  922842840268800000000*k^11*c[n, -1 + k] - 1905345922928486400000000*n*
   c[n, -1 + k] - 3175005858482764800000000*k*n*c[n, -1 + k] + 
  1038256754338368000000000*k^2*n*c[n, -1 + k] + 
  4329136013025369600000000*k^3*n*c[n, -1 + k] + 
  1623766121970969600000000*k^4*n*c[n, -1 + k] - 
  1158868381956480000000000*k^5*n*c[n, -1 + k] - 
  900939824510400000000000*k^6*n*c[n, -1 + k] - 
  79924836791923200000000*k^7*n*c[n, -1 + k] + 85358567576217600000000*k^8*n*
   c[n, -1 + k] + 27276680078208000000000*k^9*n*c[n, -1 + k] + 
  2464491150950400000000*k^10*n*c[n, -1 + k] - 1782604084915123200000000*n^2*
   c[n, -1 + k] - 2667188891455948800000000*k*n^2*c[n, -1 + k] + 
  938365530437952000000000*k^2*n^2*c[n, -1 + k] + 
  3114460577038521600000000*k^3*n^2*c[n, -1 + k] + 
  1108656257531904000000000*k^4*n^2*c[n, -1 + k] - 
  446644128866457600000000*k^5*n^2*c[n, -1 + k] - 
  295569630237542400000000*k^6*n^2*c[n, -1 + k] - 
  11008540462982400000000*k^7*n^2*c[n, -1 + k] + 
  17063806594982400000000*k^8*n^2*c[n, -1 + k] + 
  2508457339238400000000*k^9*n^2*c[n, -1 + k] - 
  867155372646364800000000*n^3*c[n, -1 + k] - 1081145796902179200000000*k*n^3*
   c[n, -1 + k] + 611254860976512000000000*k^2*n^3*c[n, -1 + k] + 
  1232380696502563200000000*k^3*n^3*c[n, -1 + k] + 
  338511672174412800000000*k^4*n^3*c[n, -1 + k] - 
  114581335402598400000000*k^5*n^3*c[n, -1 + k] - 
  50987599077744000000000*k^6*n^3*c[n, -1 + k] + 
  186716808115200000000*k^7*n^3*c[n, -1 + k] + 1170096760166400000000*k^8*n^3*
   c[n, -1 + k] - 237882879622684800000000*n^4*c[n, -1 + k] - 
  226782698775192000000000*k*n^4*c[n, -1 + k] + 
  227418965789760000000000*k^2*n^4*c[n, -1 + k] + 
  276091251701630400000000*k^3*n^4*c[n, -1 + k] + 
  46531263539116800000000*k^4*n^4*c[n, -1 + k] - 
  18525155798793600000000*k^5*n^4*c[n, -1 + k] - 
  3868186179686400000000*k^6*n^4*c[n, -1 + k] + 
  190433210457600000000*k^7*n^4*c[n, -1 + k] - 35595711549950400000000*n^5*
   c[n, -1 + k] - 21539524167439200000000*k*n^5*c[n, -1 + k] + 
  47096743146393600000000*k^2*n^5*c[n, -1 + k] + 
  34323693252112800000000*k^3*n^5*c[n, -1 + k] + 
  2156231039198400000000*k^4*n^5*c[n, -1 + k] - 
  1399382846769600000000*k^5*n^5*c[n, -1 + k] - 
  44711377920000000000*k^6*n^5*c[n, -1 + k] - 2093990544720000000000*n^6*
   c[n, -1 + k] + 42628974354000000000*k*n^6*c[n, -1 + k] + 
  5334075888328800000000*k^2*n^6*c[n, -1 + k] + 
  2169207869799600000000*k^3*n^6*c[n, -1 + k] - 
  50075620610400000000*k^4*n^6*c[n, -1 + k] - 24591257856000000000*k^5*n^6*
   c[n, -1 + k] + 135335982648600000000*n^7*c[n, -1 + k] + 
  161056094234400000000*k*n^7*c[n, -1 + k] + 303326066622600000000*k^2*n^7*
   c[n, -1 + k] + 53404974691200000000*k^3*n^7*c[n, -1 + k] - 
  3353353344000000000*k^4*n^7*c[n, -1 + k] + 26359188852600000000*n^8*
   c[n, -1 + k] + 8493283171800000000*k*n^8*c[n, -1 + k] + 
  6598084521600000000*k^2*n^8*c[n, -1 + k] + 1086820464600000000*n^9*
   c[n, -1 + k] + 10126630305792000000000*k*c[n, k] - 
  9416366733312000000000*k^2*c[n, k] - 13641105189888000000000*k^3*c[n, k] + 
  14196740659200000000000*k^4*c[n, k] + 15473298170880000000000*k^5*c[n, k] - 
  3340035274752000000000*k^6*c[n, k] - 8623053407232000000000*k^7*c[n, k] - 
  3945741465600000000000*k^8*c[n, k] - 772919718912000000000*k^9*c[n, k] - 
  57447346176000000000*k^10*c[n, k] - 73014041447424000000000*k*n*c[n, k] - 
  218874905796096000000000*k^2*n*c[n, k] - 211231068364800000000000*k^3*n*
   c[n, k] - 76367051887104000000000*k^4*n*c[n, k] - 
  4411716655104000000000*k^5*n*c[n, k] - 623040422400000000000*k^6*n*
   c[n, k] - 2987743739904000000000*k^7*n*c[n, k] - 
  1104943099392000000000*k^8*n*c[n, k] - 118417406976000000000*k^9*n*
   c[n, k] - 109009862083584000000000*k*n^2*c[n, k] - 
  248700201666048000000000*k^2*n^2*c[n, k] - 200127784665600000000000*k^3*n^2*
   c[n, k] - 64363753073664000000000*k^4*n^2*c[n, k] - 
  3594605769216000000000*k^5*n^2*c[n, k] + 1586546362368000000000*k^6*n^2*
   c[n, k] - 24990197760000000000*k^7*n^2*c[n, k] - 
  55415010816000000000*k^8*n^2*c[n, k] - 64289859701760000000000*k*n^3*
   c[n, k] - 120035505553920000000000*k^2*n^3*c[n, k] - 
  78851815206912000000000*k^3*n^3*c[n, k] - 19708342993152000000000*k^4*n^3*
   c[n, k] - 212853256704000000000*k^5*n^3*c[n, k] + 
  538636614912000000000*k^6*n^3*c[n, k] + 40646707200000000000*k^7*n^3*
   c[n, k] - 20487177393408000000000*k*n^4*c[n, k] - 
  31285883439360000000000*k^2*n^4*c[n, k] - 16211716488000000000000*k^3*n^4*
   c[n, k] - 2874004467840000000000*k^4*n^4*c[n, k] + 
  73978888896000000000*k^5*n^4*c[n, k] + 44169421824000000000*k^6*n^4*
   c[n, k] - 3845831482944000000000*k*n^5*c[n, k] - 
  4711238455968000000000*k^2*n^5*c[n, k] - 1830626075520000000000*k^3*n^5*
   c[n, k] - 204852818016000000000*k^4*n^5*c[n, k] + 
  6689770560000000000*k^5*n^5*c[n, k] - 426304923264000000000*k*n^6*c[n, k] - 
  405981569664000000000*k^2*n^6*c[n, k] - 108490013280000000000*k^3*n^6*
   c[n, k] - 6037729632000000000*k^4*n^6*c[n, k] - 
  25844531328000000000*k*n^7*c[n, k] - 18324890496000000000*k^2*n^7*c[n, k] - 
  2701312416000000000*k^3*n^7*c[n, k] - 660508992000000000*k*n^8*c[n, k] - 
  330254496000000000*k^2*n^8*c[n, k] - 16780916273611108553470771200*
   c[2 + n, -30 + k] + 11637521343442178991407333376*k*c[2 + n, -30 + k] + 
  13928205328879429111401160704*k^2*c[2 + n, -30 + k] - 
  6690737097780639416339152896*k^3*c[2 + n, -30 + k] - 
  3646258213959164571266764800*k^4*c[2 + n, -30 + k] + 
  1080283560507606012286362624*k^5*c[2 + n, -30 + k] + 
  477987777685487437214238720*k^6*c[2 + n, -30 + k] - 
  666186477523194124772352*k^7*c[2 + n, -30 + k] - 
  5801829399988213204869120*k^8*c[2 + n, -30 + k] + 
  391334398205604282915840*k^9*c[2 + n, -30 + k] - 
  9831306808839951857664*k^10*c[2 + n, -30 + k] + 
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  64463137200000000*k^5*n^6*c[4 + n, -3 + k] + 66834039438000000000*n^7*
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   c[6 + n, -28 + k] + 95153802086183782990970880*k*c[6 + n, -28 + k] + 
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  571864407250386600000*k*n^8*c[6 + n, -6 + k] + 
  146964095635519800000*k^2*n^8*c[6 + n, -6 + k] - 
  58260858132835800000*n^9*c[6 + n, -6 + k] - 1497454887908474880000000*
   c[6 + n, -5 + k] + 442141355460812800000000*k*c[6 + n, -5 + k] + 
  693805461134632960000000*k^2*c[6 + n, -5 + k] + 
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  8778539452815360000000*k^6*c[6 + n, -5 + k] - 
  40154937645219840000000*k^7*c[6 + n, -5 + k] - 
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  3118505871605760000000*k^9*c[6 + n, -5 + k] + 
  567441991987200000000*k^10*c[6 + n, -5 + k] + 
  119957465548800000000*k^11*c[6 + n, -5 + k] - 
  2162562715104194560000000*n*c[6 + n, -5 + k] + 
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  382782687344640000000*k^10*n*c[6 + n, -5 + k] - 
  1371159303372794880000000*n^2*c[6 + n, -5 + k] + 
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  382790338118533120000000*k^2*n^2*c[6 + n, -5 + k] - 
  130020159316191680000000*k^3*n^2*c[6 + n, -5 + k] + 
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  49674574130820480000000*k^6*n^2*c[6 + n, -5 + k] - 
  21065361844248000000000*k^7*n^2*c[6 + n, -5 + k] - 
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  54037164655062720000000*k^3*n^3*c[6 + n, -5 + k] + 
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  8090650523445120000000*k^5*n^3*c[6 + n, -5 + k] - 
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  2009083926928320000000*k^7*n^3*c[6 + n, -5 + k] + 
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  4053903616812960000000*k^5*n^4*c[6 + n, -5 + k] - 
  1475038553899680000000*k^6*n^4*c[6 + n, -5 + k] + 
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  1976747985415440000000*k^3*n^5*c[6 + n, -5 + k] - 
  424346441598000000000*k^4*n^5*c[6 + n, -5 + k] - 
  430893074945520000000*k^5*n^5*c[6 + n, -5 + k] - 
  12969079944480000000*k^6*n^5*c[6 + n, -5 + k] - 
  677269528161120000000*n^6*c[6 + n, -5 + k] + 1225823467801680000000*k*n^6*
   c[6 + n, -5 + k] - 86520604575240000000*k^2*n^6*c[6 + n, -5 + k] - 
  233334668477880000000*k^3*n^6*c[6 + n, -5 + k] - 
  57049446282840000000*k^4*n^6*c[6 + n, -5 + k] - 
  5742162443160000000*k^5*n^6*c[6 + n, -5 + k] + 
  60839398112400000000*n^7*c[6 + n, -5 + k] + 98527250869200000000*k*n^7*
   c[6 + n, -5 + k] - 16478744826960000000*k^2*n^7*c[6 + n, -5 + k] - 
  13750643118960000000*k^3*n^7*c[6 + n, -5 + k] + 
  10624236310440000000*n^8*c[6 + n, -5 + k] + 3795147522720000000*k*n^8*
   c[6 + n, -5 + k] - 1202237027640000000*k^2*n^8*c[6 + n, -5 + k] + 
  457882771320000000*n^9*c[6 + n, -5 + k] - 21764866572288000000000*
   c[6 + n, -4 + k] - 5146093279641600000000*k*c[6 + n, -4 + k] + 
  25666323289497600000000*k^2*c[6 + n, -4 + k] + 
  6836665814784000000000*k^3*c[6 + n, -4 + k] - 
  6990793208755200000000*k^4*c[6 + n, -4 + k] + 
  209384160153600000000*k^5*c[6 + n, -4 + k] + 1686572280345600000000*k^6*
   c[6 + n, -4 + k] - 199487465625600000000*k^7*c[6 + n, -4 + k] - 
  285314509900800000000*k^8*c[6 + n, -4 + k] - 23061500928000000000*k^9*
   c[6 + n, -4 + k] + 9397395532800000000*k^10*c[6 + n, -4 + k] + 
  1273596825600000000*k^11*c[6 + n, -4 + k] - 37354749876633600000000*n*
   c[6 + n, -4 + k] - 7115308257484800000000*k*n*c[6 + n, -4 + k] + 
  35545418908569600000000*k^2*n*c[6 + n, -4 + k] + 
  7875770813145600000000*k^3*n*c[6 + n, -4 + k] - 
  6717373555526400000000*k^4*n*c[6 + n, -4 + k] + 
  583785991929600000000*k^5*n*c[6 + n, -4 + k] + 
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  393592000435200000000*k^7*n*c[6 + n, -4 + k] - 
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  3715786483200000000*k^10*n*c[6 + n, -4 + k] - 
  28097654662348800000000*n^2*c[6 + n, -4 + k] - 
  3878211481344000000000*k*n^2*c[6 + n, -4 + k] + 
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  2843068703328000000000*k^4*n^2*c[6 + n, -4 + k] + 
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  136583590867200000000*k^7*n^2*c[6 + n, -4 + k] - 
  6916252780800000000*k^8*n^2*c[6 + n, -4 + k] + 
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  12114664428134400000000*n^3*c[6 + n, -4 + k] - 
  960356098291200000000*k*n^3*c[6 + n, -4 + k] + 
  7252695182841600000000*k^2*n^3*c[6 + n, -4 + k] + 
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  720552858062400000000*k^4*n^3*c[6 + n, -4 + k] - 
  24428801664000000000*k^5*n^3*c[6 + n, -4 + k] - 
  36387206467200000000*k^6*n^3*c[6 + n, -4 + k] - 
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  3282705511372800000000*n^4*c[6 + n, -4 + k] - 
  48522719865600000000*k*n^4*c[6 + n, -4 + k] + 
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  120327723288000000000*k^4*n^4*c[6 + n, -4 + k] - 
  12456492206400000000*k^5*n^4*c[6 + n, -4 + k] - 
  3834839764800000000*k^6*n^4*c[6 + n, -4 + k] + 
  266320612800000000*k^7*n^4*c[6 + n, -4 + k] - 
  575083942560000000000*n^5*c[6 + n, -4 + k] + 31058396524800000000*k*n^5*
   c[6 + n, -4 + k] + 195902044516800000000*k^2*n^5*c[6 + n, -4 + k] - 
  1601304487200000000*k^3*n^5*c[6 + n, -4 + k] - 
  12336324429600000000*k^4*n^5*c[6 + n, -4 + k] - 
  943323084000000000*k^5*n^5*c[6 + n, -4 + k] + 
  45939247200000000*k^6*n^5*c[6 + n, -4 + k] - 64252140883200000000*n^6*
   c[6 + n, -4 + k] + 7935306134400000000*k*n^6*c[6 + n, -4 + k] + 
  14798465553600000000*k^2*n^6*c[6 + n, -4 + k] - 
  1207553508000000000*k^3*n^6*c[6 + n, -4 + k] - 
  571825267200000000*k^4*n^6*c[6 + n, -4 + k] + 
  19688248800000000*k^5*n^6*c[6 + n, -4 + k] - 
  4301423481600000000*n^7*c[6 + n, -4 + k] + 791741628000000000*k*n^7*
   c[6 + n, -4 + k] + 537662577600000000*k^2*n^7*c[6 + n, -4 + k] - 
  77617504800000000*k^3*n^7*c[6 + n, -4 + k] - 
  147424795200000000*n^8*c[6 + n, -4 + k] + 30029259600000000*k*n^8*
   c[6 + n, -4 + k] + 4070444400000000*k^2*n^8*c[6 + n, -4 + k] - 
  1603508400000000*n^9*c[6 + n, -4 + k] + 26515935316160101660262400*
   c[8 + n, -27 + k] - 4080349574436647019110400*k*c[8 + n, -27 + k] - 
  23175706646698737436569600*k^2*c[8 + n, -27 + k] - 
  2831872441029817547980800*k^3*c[8 + n, -27 + k] + 
  3193376166091257805209600*k^4*c[8 + n, -27 + k] + 
  479858434442027411097600*k^5*c[8 + n, -27 + k] - 
  95998078069299970099200*k^6*c[8 + n, -27 + k] - 
  6250828668032800051200*k^7*c[8 + n, -27 + k] + 
  1044763605829569024000*k^8*c[8 + n, -27 + k] - 
  37528367745954355200*k^9*c[8 + n, -27 + k] + 
  416971064282572800*k^10*c[8 + n, -27 + k] + 32672552830591122276710400*n*
   c[8 + n, -27 + k] - 5086916363836339920115200*k*n*c[8 + n, -27 + k] - 
  21807272530458338845017600*k^2*n*c[8 + n, -27 + k] - 
  1341585696580809739315200*k^3*n*c[8 + n, -27 + k] + 
  2121831296844145338009600*k^4*n*c[8 + n, -27 + k] + 
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  44841612217854173299200*k^6*n*c[8 + n, -27 + k] + 
  976304754357675724800*k^7*n*c[8 + n, -27 + k] + 
  116390814664898995200*k^8*n*c[8 + n, -27 + k] - 
  5273614806599462400*k^9*n*c[8 + n, -27 + k] + 
  58803611629593600*k^10*n*c[8 + n, -27 + k] + 16885435434183946944115200*n^2*
   c[8 + n, -27 + k] - 2645046052794418049078400*k*n^2*c[8 + n, -27 + k] - 
  8247782516453417375020800*k^2*n^2*c[8 + n, -27 + k] - 
  57201689585838778848000*k^3*n^2*c[8 + n, -27 + k] + 
  488026748002398723417600*k^4*n^2*c[8 + n, -27 + k] - 
  17501237406123513033600*k^5*n^2*c[8 + n, -27 + k] - 
  4986876665270031840000*k^6*n^2*c[8 + n, -27 + k] + 
  390869712416374732800*k^7*n^2*c[8 + n, -27 + k] - 
  8577308623607539200*k^8*n^2*c[8 + n, -27 + k] + 
  44102708722195200*k^9*n^2*c[8 + n, -27 + k] + 
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  734886529388482902177600*k*n^3*c[8 + n, -27 + k] - 
  1586444087112109137964800*k^2*n^3*c[8 + n, -27 + k] + 
  63820458511591822790400*k^3*n^3*c[8 + n, -27 + k] + 
  42625614251437482988800*k^4*n^3*c[8 + n, -27 + k] - 
  4854954944034204408000*k^5*n^3*c[8 + n, -27 + k] + 
  138115867029094684800*k^6*n^3*c[8 + n, -27 + k] + 
  2468415242724076800*k^7*n^3*c[8 + n, -27 + k] - 
  88205417444390400*k^8*n^3*c[8 + n, -27 + k] + 
  766477787498043375585600*n^4*c[8 + n, -27 + k] - 
  115953719804090540164800*k*n^4*c[8 + n, -27 + k] - 
  161187199404214679942400*k^2*n^4*c[8 + n, -27 + k] + 
  12477773627439994188000*k^3*n^4*c[8 + n, -27 + k] + 
  774708120666548208000*k^4*n^4*c[8 + n, -27 + k] - 
  120921097350212762400*k^5*n^4*c[8 + n, -27 + k] + 
  5964891354676900800*k^6*n^4*c[8 + n, -27 + k] - 
  66154063083292800*k^7*n^4*c[8 + n, -27 + k] + 
  71620251301821012537600*n^5*c[8 + n, -27 + k] - 
  10158975104938288372800*k*n^5*c[8 + n, -27 + k] - 
  8103136651349881680000*k^2*n^5*c[8 + n, -27 + k] + 
  803387100870915850800*k^3*n^5*c[8 + n, -27 + k] - 
  21552671115641030400*k^4*n^5*c[8 + n, -27 + k] + 
  486716825235286800*k^5*n^5*c[8 + n, -27 + k] + 
  18376128634248000*k^6*n^5*c[8 + n, -27 + k] + 
  3547596638888966563200*n^6*c[8 + n, -27 + k] - 
  444683373639916509000*k*n^6*c[8 + n, -27 + k] - 
  169515406078859332800*k^2*n^6*c[8 + n, -27 + k] + 
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  399764325652322400*k^4*n^6*c[8 + n, -27 + k] + 
  13782096475686000*k^5*n^6*c[8 + n, -27 + k] + 
  76459687525164346200*n^7*c[8 + n, -27 + k] - 7668066764357489700*k*n^7*
   c[8 + n, -27 + k] - 1257515690305354200*k^2*n^7*c[8 + n, -27 + k] + 
  96787904795158500*k^3*n^7*c[8 + n, -27 + k] + 
  583724939836392900*n^8*c[8 + n, -27 + k] - 40769187866643600*k*n^8*
   c[8 + n, -27 + k] - 814396609926900*k^2*n^8*c[8 + n, -27 + k] + 
  320822906940900*n^9*c[8 + n, -27 + k] + 786246258169351143095500800*
   c[8 + n, -26 + k] - 459285527788727013968670720*k*c[8 + n, -26 + k] - 
  657277381910460705663144960*k^2*c[8 + n, -26 + k] + 
  232693840276721886072245760*k^3*c[8 + n, -26 + k] + 
  153211616874105797987642880*k^4*c[8 + n, -26 + k] - 
  37854552713573780360709120*k^5*c[8 + n, -26 + k] - 
  18050102125003397818978560*k^6*c[8 + n, -26 + k] + 
  106430815898317165328640*k^7*c[8 + n, -26 + k] + 
  224992131541055081118720*k^8*c[8 + n, -26 + k] - 
  15992410728052702056960*k^9*c[8 + n, -26 + k] + 
  422677420212937317120*k^10*c[8 + n, -26 + k] - 
  3996545461825593600*k^11*c[8 + n, -26 + k] + 1028935543907690202118809600*n*
   c[8 + n, -26 + k] - 462907174807284934878144000*k*n*c[8 + n, -26 + k] - 
  648301461335616174640485120*k^2*n*c[8 + n, -26 + k] + 
  151817045884448120218869120*k^3*n*c[8 + n, -26 + k] + 
  69544559865715533951891840*k^4*n*c[8 + n, -26 + k] - 
  22827222504956645831301120*k^5*n*c[8 + n, -26 + k] - 
  3458513174596845478666560*k^6*n*c[8 + n, -26 + k] + 
  509408030400515262213120*k^7*n*c[8 + n, -26 + k] - 
  20014733108843105109120*k^8*n*c[8 + n, -26 + k] + 
  299947466868809316480*k^9*n*c[8 + n, -26 + k] - 
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   c[8 + n, -7 + k] + 37193775854760000000*k*n^7*c[8 + n, -7 + k] + 
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   c[8 + n, -6 + k] - 153766488805539840000000*k*c[8 + n, -6 + k] + 
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  907320421416960000000*n^6*c[8 + n, -6 + k] + 121757482255680000000*k*n^6*
   c[8 + n, -6 + k] + 155290487141520000000*k^2*n^6*c[8 + n, -6 + k] - 
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  49139859608640000000*n^7*c[8 + n, -6 + k] + 11115266264640000000*k*n^7*
   c[8 + n, -6 + k] + 4244009618880000000*k^2*n^7*c[8 + n, -6 + k] - 
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  1110419681760000000*n^8*c[8 + n, -6 + k] + 387912826440000000*k*n^8*
   c[8 + n, -6 + k] - 9979805880000000*k^2*n^8*c[8 + n, -6 + k] + 
  3931438680000000*n^9*c[8 + n, -6 + k] - 3810241824405085362585600*
   c[10 + n, -25 + k] + 2673082619383755608064000*k*c[10 + n, -25 + k] + 
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   c[10 + n, -25 + k] + 2786992964056880145100800*k*n*c[10 + n, -25 + k] + 
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   c[10 + n, -25 + k] + 250583572285200*k^2*n^8*c[10 + n, -25 + k] - 
  98714740597200*n^9*c[10 + n, -25 + k] + 303207352022992215343104000*
   c[10 + n, -24 + k] - 216422519624497135234252800*k*c[10 + n, -24 + k] - 
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   c[10 + n, -22 + k] - 80975975362020324046882897920*k*c[10 + n, -22 + k] - 
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  218829929108313600000000*k^4*n^3*c[-2 + n, k] - 
  136151479038643200000000*k^5*n^3*c[-2 + n, k] - 
  33549799923763200000000*k^6*n^3*c[-2 + n, k] - 
  2937973865587200000000*k^7*n^3*c[-2 + n, k] + 
  50345471807136000000000*k*n^4*c[-2 + n, k] + 43050621755750400000000*k^2*
   n^4*c[-2 + n, k] - 30099290877691200000000*k^3*n^4*c[-2 + n, k] - 
  44753961880742400000000*k^4*n^4*c[-2 + n, k] - 
  16567701366110400000000*k^5*n^4*c[-2 + n, k] - 
  1975139438342400000000*k^6*n^4*c[-2 + n, k] + 
  7858247353862400000000*k*n^5*c[-2 + n, k] + 2951322613747200000000*k^2*n^5*
   c[-2 + n, k] - 5925462387451200000000*k^3*n^5*c[-2 + n, k] - 
  4162165362748800000000*k^4*n^5*c[-2 + n, k] - 
  721942217409600000000*k^5*n^5*c[-2 + n, k] + 638789716540800000000*k*n^6*
   c[-2 + n, k] - 45479623780800000000*k^2*n^6*c[-2 + n, k] - 
  456352475515200000000*k^3*n^6*c[-2 + n, k] - 136957617244800000000*k^4*n^6*
   c[-2 + n, k] + 21109266921600000000*k*n^7*c[-2 + n, k] - 
  10554633460800000000*k^2*n^7*c[-2 + n, k] - 10554633460800000000*k^3*n^7*
   c[-2 + n, k] + 15397379997583412744438906880*c[n, -31 + k] + 
  37411500912761470811606507520*k*c[n, -31 + k] - 
  14279255143231974841850333184*k^2*c[n, -31 + k] - 
  37978727909197295144199449088*k^3*c[n, -31 + k] - 
  7154611673899294459652903424*k^4*c[n, -31 + k] + 
  5058655923037545005619280896*k^5*c[n, -31 + k] + 
  1569358260514539766814363136*k^6*c[n, -31 + k] - 
  6722388619932352105488384*k^7*c[n, -31 + k] - 
  18806447788782049372571136*k^8*c[n, -31 + k] + 
  1259321002556758586348544*k^9*c[n, -31 + k] - 
  31124084283283390705152*k^10*c[n, -31 + k] + 271922037043506043392*k^11*
   c[n, -31 + k] + 16949630292859708468832471040*n*c[n, -31 + k] + 
  36414172426833552062489209344*k*n*c[n, -31 + k] - 
  13573392534695960931616858368*k^2*n*c[n, -31 + k] - 
  26039993395038492875014101888*k^3*n*c[n, -31 + k] - 
  1776781658348362994009409792*k^4*n*c[n, -31 + k] + 
  2627067822412313826196379136*k^5*n*c[n, -31 + k] + 
  262577059915397642984771712*k^6*n*c[n, -31 + k] - 
  43016074910292316036224384*k^7*n*c[n, -31 + k] + 
  1666155859810886529004032*k^8*n*c[n, -31 + k] - 
  22108499450135951871744*k^9*n*c[n, -31 + k] + 
  50212229959822499712*k^10*n*c[n, -31 + k] + 7596260448871764102938012160*
   n^2*c[n, -31 + k] + 14142208265467283370021337728*k*n^2*c[n, -31 + k] - 
  5131270952662747545225667008*k^2*n^2*c[n, -31 + k] - 
  6627890679049736064605681280*k^3*n^2*c[n, -31 + k] + 
  218755129854954252046847616*k^4*n^2*c[n, -31 + k] + 
  372100363609683307671862272*k^5*n^2*c[n, -31 + k] - 
  18505278758975429392824384*k^6*n^2*c[n, -31 + k] - 
  429256467497703644289792*k^7*n^2*c[n, -31 + k] + 
  35434939171522344702336*k^8*n^2*c[n, -31 + k] - 
  478133810261203776768*k^9*n^2*c[n, -31 + k] + 
  1761938195371547747391745920*n^3*c[n, -31 + k] + 
  2775413753007398974128112704*k*n^3*c[n, -31 + k] - 
  952294190024234435214285504*k^2*n^3*c[n, -31 + k] - 
  755588239435248439511809728*k^3*n^3*c[n, -31 + k] + 
  79145223762652484949247968*k^4*n^3*c[n, -31 + k] + 
  9996042417602775478490592*k^5*n^3*c[n, -31 + k] - 
  1065930338840315090517792*k^6*n^3*c[n, -31 + k] + 
  29419244786099523595680*k^7*n^3*c[n, -31 + k] - 
  233695303214872118400*k^8*n^3*c[n, -31 + k] + 
  220733655471410908780811520*n^4*c[n, -31 + k] + 
  287174732278147527514917312*k*n^4*c[n, -31 + k] - 
  85818739851260459864047008*k^2*n^4*c[n, -31 + k] - 
  37108561013875746804160800*k^3*n^4*c[n, -31 + k] + 
  4564300377135503270638800*k^4*n^4*c[n, -31 + k] - 
  148278592333538765681472*k^5*n^4*c[n, -31 + k] - 
  1816763859705729295152*k^6*n^4*c[n, -31 + k] + 
  102538325250081816480*k^7*n^4*c[n, -31 + k] + 
  13916910633239645084681280*n^5*c[n, -31 + k] + 
  14920926731303774422518144*k*n^5*c[n, -31 + k] - 
  3144736025259821750940912*k^2*n^5*c[n, -31 + k] - 
  748106617495510968894360*k^3*n^5*c[n, -31 + k] + 
  68146799552082675906552*k^4*n^5*c[n, -31 + k] - 
  3044752176644240024952*k^5*n^5*c[n, -31 + k] + 
  55285561431229123368*k^6*n^5*c[n, -31 + k] + 334810580453500964600160*n^6*
   c[n, -31 + k] + 345686845231896237022248*k*n^6*c[n, -31 + k] - 
  32458141593551207467548*k^2*n^6*c[n, -31 + k] - 
  5868870677300186747208*k^3*n^6*c[n, -31 + k] + 
  211127519175211272348*k^4*n^6*c[n, -31 + k] - 
  40041560506408367400*n^7*c[n, -31 + k] + 2912043588421648551156*k*n^7*
   c[n, -31 + k] + 13977969857691420204*k^2*n^7*c[n, -31 + k] - 
  3479780427438023280*k^3*n^7*c[n, -31 + k] - 42495500371440102480*n^8*
   c[n, -31 + k] + 1370822592627100080*k*n^8*c[n, -31 + k] - 
  513905379802512217938103762944*c[n, -30 + k] - 
  1293227366814124354127003295744*k*c[n, -30 + k] + 
  479470711610993594353713137664*k^2*c[n, -30 + k] + 
  1307397128209342340901423114240*k^3*c[n, -30 + k] + 
  246698075270823069768378656256*k^4*c[n, -30 + k] - 
  174010805053931045894549495040*k^5*c[n, -30 + k] - 
  53455105242792225988935586560*k^6*c[n, -30 + k] + 
  423882101087930478624394752*k^7*c[n, -30 + k] + 
  653065981611848282715107328*k^8*c[n, -30 + k] - 
  45349609713737782335181056*k^9*c[n, -30 + k] + 
  1153703274184737718523136*k^10*c[n, -30 + k] - 
  10354059386791645612032*k^11*c[n, -30 + k] - 574029836110722152502082658304*
   n*c[n, -30 + k] - 1289984088668139564315375568896*k*n*c[n, -30 + k] + 
  463834205677290569500707858432*k^2*n*c[n, -30 + k] + 
  926474609619871297920522874368*k^3*n*c[n, -30 + k] + 
  68821197488211394564348362624*k^4*n*c[n, -30 + k] - 
  93448495003210090315917238080*k^5*n*c[n, -30 + k] - 
  9984156131113002477994326912*k^6*n*c[n, -30 + k] + 
  1485735319927944545249640960*k^7*n*c[n, -30 + k] - 
  48359435083344907491748608*k^8*n*c[n, -30 + k] + 
  302068588591922883787584*k^9*n*c[n, -30 + k] + 
  4670836191750476765952*k^10*n*c[n, -30 + k] - 
  262327125395525590502470361088*n^2*c[n, -30 + k] - 
  518660263615128539195268877824*k*n^2*c[n, -30 + k] + 
  179725096372384642115852395776*k^2*n^2*c[n, -30 + k] + 
  248159761969415728699261515456*k^3*n^2*c[n, -30 + k] - 
  5035717574121482197408283904*k^4*n^2*c[n, -30 + k] - 
  14381986818481300674912213216*k^5*n^2*c[n, -30 + k] + 
  475607716634667807261814176*k^6*n^2*c[n, -30 + k] + 
  40106490323161382572952160*k^7*n^2*c[n, -30 + k] - 
  2135475835962958872545184*k^8*n^2*c[n, -30 + k] + 
  26619329796294748100544*k^9*n^2*c[n, -30 + k] - 
  62525998230392811595133136384*n^3*c[n, -30 + k] - 
  107159181384037836413437051392*k*n^3*c[n, -30 + k] + 
  34655807986523489822981081184*k^2*n^3*c[n, -30 + k] + 
  30855543238098973903164948432*k^3*n^3*c[n, -30 + k] - 
  2644668688908357360357192576*k^4*n^3*c[n, -30 + k] - 
  543600548408249321363762256*k^5*n^3*c[n, -30 + k] + 
  50845886919785300480654400*k^6*n^3*c[n, -30 + k] - 
  1258016738537608787292192*k^7*n^3*c[n, -30 + k] + 
  7522018149068199950976*k^8*n^3*c[n, -30 + k] - 
  8155754369051346126752751360*n^4*c[n, -30 + k] - 
  12017143104639524476976868480*k*n^4*c[n, -30 + k] + 
  3341031122480108350983114384*k^2*n^4*c[n, -30 + k] + 
  1779948294514741063990239480*k^3*n^4*c[n, -30 + k] - 
  188178651372063224264907960*k^4*n^4*c[n, -30 + k] + 
  3395273284935703008381744*k^5*n^4*c[n, -30 + k] + 
  291180874483608971860944*k^6*n^4*c[n, -30 + k] - 
  8829856981316911863312*k^7*n^4*c[n, -30 + k] - 
  548771303034417399561088416*n^5*c[n, -30 + k] - 
  711801482066478807809594544*k*n^5*c[n, -30 + k] + 
  140750618281647121385579448*k^2*n^5*c[n, -30 + k] + 
  45362014361907525381413124*k^3*n^5*c[n, -30 + k] - 
  3888219966519942847574712*k^4*n^5*c[n, -30 + k] + 
  180142759721669190674580*k^5*n^5*c[n, -30 + k] - 
  3508323491464733421216*k^6*n^5*c[n, -30 + k] - 
  14867795254698866428664112*n^6*c[n, -30 + k] - 
  20115718552779936170720472*k*n^6*c[n, -30 + k] + 
  1887294844794265091328492*k^2*n^6*c[n, -30 + k] + 
  413297214884914622978646*k^3*n^6*c[n, -30 + k] - 
  16209613695165423297930*k^4*n^6*c[n, -30 + k] + 
  37592464872786354432*k^5*n^6*c[n, -30 + k] + 2152100549955017731464*n^7*
   c[n, -30 + k] - 199705792050564928937604*k*n^7*c[n, -30 + k] - 
  122087769519413126340*k^2*n^7*c[n, -30 + k] + 
  233827436367223893018*k^3*n^7*c[n, -30 + k] + 
  2842063501389994909404*n^8*c[n, -30 + k] - 97947747258989847570*k*n^8*
   c[n, -30 + k] - 34279517293234173316003421749248*c[n, -29 + k] - 
  81849411865075718168371827615744*k*c[n, -29 + k] + 
  32647729061617785244765064692224*k^2*c[n, -29 + k] + 
  83278793508818100129495558332928*k^3*c[n, -29 + k] + 
  14800855040053497285607541419776*k^4*c[n, -29 + k] - 
  11340146864050677039168723382272*k^5*c[n, -29 + k] - 
  3349699880654685145898953638144*k^6*c[n, -29 + k] + 
  52154123445729665414301247488*k^7*c[n, -29 + k] + 
  42315523583588974417836213504*k^8*c[n, -29 + k] - 
  3155452353146500620542392320*k^9*c[n, -29 + k] + 
  84900855762417904739912448*k^10*c[n, -29 + k] - 
  803006063547541573040640*k^11*c[n, -29 + k] - 
  37244912793029486087642134585344*n*c[n, -29 + k] - 
  78479454973219021517068759159296*k*n*c[n, -29 + k] + 
  30576884316366588534687287009664*k^2*n*c[n, -29 + k] + 
  55857540722308486070823442060416*k^3*n*c[n, -29 + k] + 
  3036613861056461864339764627776*k^4*n*c[n, -29 + k] - 
  5702658581658322273680674673984*k^5*n*c[n, -29 + k] - 
  474251871064836279673037020032*k^6*n*c[n, -29 + k] + 
  102451287749138897205981528576*k^7*n*c[n, -29 + k] - 
  4950812085316950059432058816*k^8*n*c[n, -29 + k] + 
  92502859017800319754666176*k^9*n*c[n, -29 + k] - 
  563501506819035221737344*k^10*n*c[n, -29 + k] - 
  16395664602044070336906520837632*n^2*c[n, -29 + k] - 
  29845288708006994539187645358720*k*n^2*c[n, -29 + k] + 
  11323137126694316225780641824000*k^2*n^2*c[n, -29 + k] + 
  13738505370440483944441257853248*k^3*n^2*c[n, -29 + k] - 
  692670039391890348767264543904*k^4*n^2*c[n, -29 + k] - 
  748311035154064151339489920704*k^5*n^2*c[n, -29 + k] + 
  55411924664449395762065740800*k^6*n^2*c[n, -29 + k] - 
  475341042523685421602496384*k^7*n^2*c[n, -29 + k] - 
  40924659173635157512841568*k^8*n^2*c[n, -29 + k] + 
  772423779315531652924032*k^9*n^2*c[n, -29 + k] - 
  3705861968046220868341747077888*n^3*c[n, -29 + k] - 
  5678829601002523914716114775648*k*n^3*c[n, -29 + k] + 
  2037039105153531277142876855952*k^2*n^3*c[n, -29 + k] + 
  1475963224637301054815091640848*k^3*n^3*c[n, -29 + k] - 
  184479536066333818775380039440*k^4*n^3*c[n, -29 + k] - 
  12670015787309351902111194672*k^5*n^3*c[n, -29 + k] + 
  1822436638318421536604847264*k^6*n^3*c[n, -29 + k] - 
  58274357486440526940041280*k^7*n^3*c[n, -29 + k] + 
  547277328107822571643296*k^8*n^3*c[n, -29 + k] - 
  445932413167954184864783916768*n^4*c[n, -29 + k] - 
  559882140271774249007782632672*k*n^4*c[n, -29 + k] + 
  174071550672949838272767704376*k^2*n^4*c[n, -29 + k] + 
  64673619636938310458071996176*k^3*n^4*c[n, -29 + k] - 
  8980611167752127319846808728*k^4*n^4*c[n, -29 + k] + 
  360317372466464207512425360*k^5*n^4*c[n, -29 + k] - 
  341036044241716001746656*k^6*n^4*c[n, -29 + k] - 
  148143140121882869393760*k^7*n^4*c[n, -29 + k] - 
  26197143195662627548365857808*n^5*c[n, -29 + k] - 
  26860680376671207922479340704*k*n^5*c[n, -29 + k] + 
  5741043066577854627448693860*k^2*n^5*c[n, -29 + k] + 
  1137333275422943448770441820*k^3*n^5*c[n, -29 + k] - 
  121695130119263993748275652*k^4*n^5*c[n, -29 + k] + 
  5756524956117807762690756*k^5*n^5*c[n, -29 + k] - 
  107612773780096503737280*k^6*n^5*c[n, -29 + k] - 
  540375810601149643206662280*n^6*c[n, -29 + k] - 
  549577037759496344540077320*k*n^6*c[n, -29 + k] + 
  55624186328500908197512578*k^2*n^6*c[n, -29 + k] + 
  7201330526881138814612568*k^3*n^6*c[n, -29 + k] - 
  244406768490295464633426*k^4*n^6*c[n, -29 + k] - 
  1699874398484954973072*k^5*n^6*c[n, -29 + k] + 
  349597050925495563794196*n^7*c[n, -29 + k] - 3915189237278130564624570*k*
   n^7*c[n, -29 + k] - 60539775917904198382140*k^2*n^7*c[n, -29 + k] + 
  6652795011707227441806*k^3*n^7*c[n, -29 + k] + 
  69564535174248402748824*n^8*c[n, -29 + k] - 2355539031255801614886*k*n^8*
   c[n, -29 + k] - 665611469902280596495124767113216*c[n, -28 + k] - 
  1297938507674540332590602023735296*k*c[n, -28 + k] + 
  649992865072075149576185510851584*k^2*c[n, -28 + k] + 
  1357085613297873494961883209026304*k^3*c[n, -28 + k] + 
  203533973124323584263324570654336*k^4*c[n, -28 + k] - 
  195245371232063659783841519540736*k^5*c[n, -28 + k] - 
  53823323931880210759780042038912*k^6*c[n, -28 + k] + 
  1357499673536671548548276403456*k^7*c[n, -28 + k] + 
  704028896807919430158479447424*k^8*c[n, -28 + k] - 
  56917390587511257606675317760*k^9*c[n, -28 + k] + 
  1626316793161450344450612864*k^10*c[n, -28 + k] - 
  16250057670343489469250048*k^11*c[n, -28 + k] - 
  713232602612989150316671833071616*n*c[n, -28 + k] - 
  1198410499973961012350116977624576*k*n*c[n, -28 + k] + 
  591475401820929014862478552597248*k^2*n*c[n, -28 + k] + 
  865860916575338906335954207096320*k^3*n*c[n, -28 + k] + 
  13962639271111734738374796354624*k^4*n*c[n, -28 + k] - 
  94019280027553613976530331572352*k^5*n*c[n, -28 + k] - 
  5823441890214025385155009940352*k^6*n*c[n, -28 + k] + 
  1796473821330844718888736931968*k^7*n*c[n, -28 + k] - 
  105327739884468018556529121600*k^8*n*c[n, -28 + k] + 
  2455983828756976918080181248*k^9*n*c[n, -28 + k] - 
  20360799809787674424071808*k^10*n*c[n, -28 + k] - 
  307831924373439486706042197056256*n^2*c[n, -28 + k] - 
  430738698783881149652799644621760*k*n^2*c[n, -28 + k] + 
  210349869999806870105918858837280*k^2*n^2*c[n, -28 + k] + 
  195403397821884166095549528902784*k^3*n^2*c[n, -28 + k] - 
  20327500438070489857961900317440*k^4*n^2*c[n, -28 + k] - 
  10744357756369292784161318320992*k^5*n^2*c[n, -28 + k] + 
  1230319131320503318167897974784*k^6*n^2*c[n, -28 + k] - 
  41279592165530738759067774240*k^7*n^2*c[n, -28 + k] + 
  285322816959898532363052768*k^8*n^2*c[n, -28 + k] + 
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  279447810690873194758080000*k^6*n^4*c[n, -4 + k] - 
  19016479018958694332400000*k^7*n^4*c[n, -4 + k] - 
  6204759055118748046949760000*n^5*c[n, -4 + k] - 
  5512706248511333894293440000*k*n^5*c[n, -4 + k] + 
  5090245033597291566908640000*k^2*n^5*c[n, -4 + k] + 
  1584176443756410589776720000*k^3*n^5*c[n, -4 + k] - 
  646479905105572393569840000*k^4*n^5*c[n, -4 + k] - 
  16813729753613001324720000*k^5*n^5*c[n, -4 + k] - 
  2055047491505458494000000*k^6*n^5*c[n, -4 + k] - 
  1444974305506565940650880000*n^6*c[n, -4 + k] - 
  170846197485864507878400000*k*n^6*c[n, -4 + k] + 
  579674675259527763666960000*k^2*n^6*c[n, -4 + k] - 
  17782630758470915394840000*k^3*n^6*c[n, -4 + k] - 
  17730009446427390328920000*k^4*n^6*c[n, -4 + k] - 
  687085762235289912000000*k^5*n^6*c[n, -4 + k] - 
  142431547997553233087520000*n^7*c[n, -4 + k] + 
  26666068728290925425760000*k*n^7*c[n, -4 + k] + 
  20591198775845501645880000*k^2*n^7*c[n, -4 + k] - 
  2869690853225643305760000*k^3*n^7*c[n, -4 + k] - 
  5294076578300934496800000*n^8*c[n, -4 + k] + 1789313810167645781760000*k*
   n^8*c[n, -4 + k] - 88879305017588649984000000*c[n, -3 + k] - 
  320574043394944361164800000*k*c[n, -3 + k] - 2701204059640679721676800000*
   k^2*c[n, -3 + k] + 4399208588152582212556800000*k^3*c[n, -3 + k] + 
  419296232064607997760000000*k^4*c[n, -3 + k] - 
  2934469998526954369536000000*k^5*c[n, -3 + k] + 
  698866212506751168192000000*k^6*c[n, -3 + k] + 
  721854740810232642124800000*k^7*c[n, -3 + k] - 
  134557461185678664307200000*k^8*c[n, -3 + k] - 
  69355281242508902553600000*k^9*c[n, -3 + k] + 
  7285046929899773760000000*k^10*c[n, -3 + k] + 
  2529328544280874828800000*k^11*c[n, -3 + k] - 
  762352157490895812556800000*n*c[n, -3 + k] - 4184251331095057887129600000*k*
   n*c[n, -3 + k] + 1941835714444416361305600000*k^2*n*c[n, -3 + k] + 
  6087228001949454360883200000*k^3*n*c[n, -3 + k] - 
  3266525833267852478707200000*k^4*n*c[n, -3 + k] - 
  1760503809547997212204800000*k^5*n*c[n, -3 + k] + 
  1633869284225356478419200000*k^6*n*c[n, -3 + k] + 
  235121756960868462604800000*k^7*n*c[n, -3 + k] - 
  193031443697455540454400000*k^8*n*c[n, -3 + k] - 
  11894378398071921734400000*k^9*n*c[n, -3 + k] + 
  5826959652353860627200000*k^10*n*c[n, -3 + k] - 
  1828962909679167971251200000*n^2*c[n, -3 + k] - 
  4546806156900218657145600000*k*n^2*c[n, -3 + k] + 
  4891768111809442197129600000*k^2*n^2*c[n, -3 + k] + 
  2934597887769531749529600000*k^3*n^2*c[n, -3 + k] - 
  2902200086796805819382400000*k^4*n^2*c[n, -3 + k] + 
  148601433175439188896000000*k^5*n^2*c[n, -3 + k] + 
  749854599548064608131200000*k^6*n^2*c[n, -3 + k] - 
  87822018854626077043200000*k^7*n^2*c[n, -3 + k] - 
  53728111828967344560000000*k^8*n^2*c[n, -3 + k] + 
  2074309856789930496000000*k^9*n^2*c[n, -3 + k] - 
  1776215159182650829939200000*n^3*c[n, -3 + k] - 
  2057188388371144810732800000*k*n^3*c[n, -3 + k] + 
  3140785281910243948012800000*k^2*n^3*c[n, -3 + k] + 
  675891810282767537592000000*k^3*n^3*c[n, -3 + k] - 
  920019821488219043150400000*k^4*n^3*c[n, -3 + k] + 
  265786245099638548459200000*k^5*n^3*c[n, -3 + k] + 
  97591305140170278033600000*k^6*n^3*c[n, -3 + k] - 
  42069491606568947241600000*k^7*n^3*c[n, -3 + k] - 
  4365595693881817084800000*k^8*n^3*c[n, -3 + k] - 
  914129096391989648092800000*n^4*c[n, -3 + k] - 
  417604649013723867768000000*k*n^4*c[n, -3 + k] + 
  1079884232508932851248000000*k^2*n^4*c[n, -3 + k] + 
  84373238437736387040000000*k^3*n^4*c[n, -3 + k] - 
  137759159055562866367200000*k^4*n^4*c[n, -3 + k] + 
  50879540249814195604800000*k^5*n^4*c[n, -3 + k] - 
  5039189587609051010400000*k^6*n^4*c[n, -3 + k] - 
  4312992341725069780800000*k^7*n^4*c[n, -3 + k] - 
  272245441796351147361600000*n^5*c[n, -3 + k] - 
  1330347169763575552800000*k*n^5*c[n, -3 + k] + 
  225272268715698593884800000*k^2*n^5*c[n, -3 + k] + 
  1846489085783632868400000*k^3*n^5*c[n, -3 + k] - 
  11836351808865818096400000*k^4*n^5*c[n, -3 + k] + 
  2069626403689808000400000*k^5*n^5*c[n, -3 + k] - 
  1260482467994285778000000*k^6*n^5*c[n, -3 + k] - 
  47077699678495757287200000*n^6*c[n, -3 + k] + 
  16421924195430836061600000*k*n^6*c[n, -3 + k] + 
  26812111984208162483400000*k^2*n^6*c[n, -3 + k] - 
  1736861158584851108400000*k^3*n^6*c[n, -3 + k] - 
  665250265712502063000000*k^4*n^6*c[n, -3 + k] - 
  84765245718803760000000*k^5*n^6*c[n, -3 + k] - 
  4383167508014941105200000*n^7*c[n, -3 + k] + 2927521086025520230200000*k*
   n^7*c[n, -3 + k] + 1370510442057398333400000*k^2*n^7*c[n, -3 + k] - 
  220951136690508945600000*k^3*n^7*c[n, -3 + k] - 
  169755178018732113600000*n^8*c[n, -3 + k] + 166113187720940444400000*k*n^8*
   c[n, -3 + k] + 36732867129416908800000000*c[n, -2 + k] + 
  2736977373760573440000000*k*c[n, -2 + k] - 116132059040686295040000000*k^2*
   c[n, -2 + k] + 14418541325333606400000000*k^3*c[n, -2 + k] + 
  151354778224842789120000000*k^4*c[n, -2 + k] - 
  6381410871510887040000000*k^5*c[n, -2 + k] - 84124783014927361920000000*k^6*
   c[n, -2 + k] - 14494707078661059840000000*k^7*c[n, -2 + k] + 
  12088323016134912000000000*k^8*c[n, -2 + k] + 
  3763179811401287040000000*k^9*c[n, -2 + k] + 79447928355354240000000*k^10*
   c[n, -2 + k] - 41154803459827200000000*k^11*c[n, -2 + k] + 
  138496111508452423680000000*n*c[n, -2 + k] + 41310008786538869760000000*k*n*
   c[n, -2 + k] - 204368822924901442560000000*k^2*n*c[n, -2 + k] + 
  58291133265765884160000000*k^3*n*c[n, -2 + k] + 
  148118279079576792960000000*k^4*n*c[n, -2 + k] - 
  80424444139927603200000000*k^5*n*c[n, -2 + k] - 
  72835573725366359040000000*k^6*n*c[n, -2 + k] + 
  10465759382187530880000000*k^7*n*c[n, -2 + k] + 
  11312121116816559360000000*k^8*n*c[n, -2 + k] + 
  1036713504929984640000000*k^9*n*c[n, -2 + k] - 
  107946782966183040000000*k^10*n*c[n, -2 + k] + 
  201132527617565176320000000*n^2*c[n, -2 + k] + 
  67720380886779609600000000*k*n^2*c[n, -2 + k] - 
  163345213558626505920000000*k^2*n^2*c[n, -2 + k] + 
  32228863521904542240000000*k^3*n^2*c[n, -2 + k] + 
  45843563769043851360000000*k^4*n^2*c[n, -2 + k] - 
  49101605859106995840000000*k^5*n^2*c[n, -2 + k] - 
  11643228341754341760000000*k^6*n^2*c[n, -2 + k] + 
  9100418850021137760000000*k^7*n^2*c[n, -2 + k] + 
  1852420109451325920000000*k^8*n^2*c[n, -2 + k] - 
  110496518673742080000000*k^9*n^2*c[n, -2 + k] + 
  150396887021065724160000000*n^3*c[n, -2 + k] + 
  41001533314985862720000000*k*n^3*c[n, -2 + k] - 
  79184610720760992480000000*k^2*n^3*c[n, -2 + k] + 
  8459738486343246240000000*k^3*n^3*c[n, -2 + k] + 
  7846769719566917280000000*k^4*n^3*c[n, -2 + k] - 
  8977135393428243840000000*k^5*n^3*c[n, -2 + k] + 
  1467275215213527840000000*k^6*n^3*c[n, -2 + k] + 
  1209991181686657920000000*k^7*n^3*c[n, -2 + k] - 
  54341635633623360000000*k^8*n^3*c[n, -2 + k] + 
  64531912150624271040000000*n^4*c[n, -2 + k] + 
  10489539789917642880000000*k*n^4*c[n, -2 + k] - 
  23850636612350533200000000*k^2*n^4*c[n, -2 + k] + 
  2449596631296913200000000*k^3*n^4*c[n, -2 + k] + 
  1285262971640263440000000*k^4*n^4*c[n, -2 + k] - 
  491249155922200440000000*k^5*n^4*c[n, -2 + k] + 
  273722387543142120000000*k^6*n^4*c[n, -2 + k] - 
  12246755030880480000000*k^7*n^4*c[n, -2 + k] + 
  16541511845486224320000000*n^5*c[n, -2 + k] + 
  504344000951472240000000*k*n^5*c[n, -2 + k] - 
  4286255211920383560000000*k^2*n^5*c[n, -2 + k] + 
  587488605752442960000000*k^3*n^5*c[n, -2 + k] + 
  106464837960460440000000*k^4*n^5*c[n, -2 + k] - 
  8737424877440160000000*k^5*n^5*c[n, -2 + k] - 
  755523835018920000000*k^6*n^5*c[n, -2 + k] + 2506352886772728480000000*n^6*
   c[n, -2 + k] - 288090284277251160000000*k*n^6*c[n, -2 + k] - 
  421035438439288080000000*k^2*n^6*c[n, -2 + k] + 
  62297667757457730000000*k^3*n^6*c[n, -2 + k] - 
  2445312862997730000000*k^4*n^6*c[n, -2 + k] + 
  66961639483200000000*k^5*n^6*c[n, -2 + k] + 207296299021595040000000*n^7*
   c[n, -2 + k] - 56241275248072080000000*k*n^7*c[n, -2 + k] - 
  17527986438763320000000*k^2*n^7*c[n, -2 + k] + 
  1837531055912310000000*k^3*n^7*c[n, -2 + k] + 
  7219468524455460000000*n^8*c[n, -2 + k] - 3164755484420010000000*k*n^8*
   c[n, -2 + k] + 45670525725081600000000*c[n, -1 + k] + 
  40298877970329600000000*k*c[n, -1 + k] - 86081302322380800000000*k^2*
   c[n, -1 + k] - 77118374475187200000000*k^3*c[n, -1 + k] + 
  54016072121779200000000*k^4*c[n, -1 + k] + 52398803516083200000000*k^5*
   c[n, -1 + k] - 15057985646592000000000*k^6*c[n, -1 + k] - 
  18967131377740800000000*k^7*c[n, -1 + k] + 155858322355200000000*k^8*
   c[n, -1 + k] + 3537264903091200000000*k^9*c[n, -1 + k] + 
  1052006990284800000000*k^10*c[n, -1 + k] + 95384272896000000000*k^11*
   c[n, -1 + k] + 95173040492697600000000*n*c[n, -1 + k] + 
  53622765656985600000000*k*n*c[n, -1 + k] - 206165861413862400000000*k^2*n*
   c[n, -1 + k] - 152210937346732800000000*k^3*n*c[n, -1 + k] + 
  101129074853990400000000*k^4*n*c[n, -1 + k] + 
  103406619582950400000000*k^5*n*c[n, -1 + k] + 
  7343375555865600000000*k^6*n*c[n, -1 + k] - 7103556413049600000000*k^7*n*
   c[n, -1 + k] + 2584375128115200000000*k^8*n*c[n, -1 + k] + 
  1958797152576000000000*k^9*n*c[n, -1 + k] + 262306750464000000000*k^10*n*
   c[n, -1 + k] + 73718170157260800000000*n^2*c[n, -1 + k] + 
  5373985665830400000000*k*n^2*c[n, -1 + k] - 191285411655513600000000*k^2*
   n^2*c[n, -1 + k] - 87586210178524800000000*k^3*n^2*c[n, -1 + k] + 
  105217609862476800000000*k^4*n^2*c[n, -1 + k] + 
  81517103567251200000000*k^5*n^2*c[n, -1 + k] + 
  12285839680128000000000*k^6*n^2*c[n, -1 + k] - 
  335431227254400000000*k^7*n^2*c[n, -1 + k] + 855883446105600000000*k^8*n^2*
   c[n, -1 + k] + 238460682240000000000*k^9*n^2*c[n, -1 + k] + 
  26208079296163200000000*n^3*c[n, -1 + k] - 17202546369345600000000*k*n^3*
   c[n, -1 + k] - 83482398298396800000000*k^2*n^3*c[n, -1 + k] - 
  11000943205185600000000*k^3*n^3*c[n, -1 + k] + 
  54406790141990400000000*k^4*n^3*c[n, -1 + k] + 
  28203021922780800000000*k^5*n^3*c[n, -1 + k] + 
  2975351445446400000000*k^6*n^3*c[n, -1 + k] - 
  155047069900800000000*k^7*n^3*c[n, -1 + k] + 47692136448000000000*k^8*n^3*
   c[n, -1 + k] + 3449922685560000000000*n^4*c[n, -1 + k] - 
  8967203920720800000000*k*n^4*c[n, -1 + k] - 17687468836324800000000*k^2*n^4*
   c[n, -1 + k] + 5215594104064800000000*k^3*n^4*c[n, -1 + k] + 
  13761133045084800000000*k^4*n^4*c[n, -1 + k] + 
  4216725909100800000000*k^5*n^4*c[n, -1 + k] + 
  56008391155200000000*k^6*n^4*c[n, -1 + k] - 44711377920000000000*k^7*n^4*
   c[n, -1 + k] - 436032562989600000000*n^5*c[n, -1 + k] - 
  1697629589319600000000*k*n^5*c[n, -1 + k] - 1505907440085600000000*k^2*n^5*
   c[n, -1 + k] + 1837926549694800000000*k^3*n^5*c[n, -1 + k] + 
  1625284595001600000000*k^4*n^5*c[n, -1 + k] + 
  200949705554400000000*k^5*n^5*c[n, -1 + k] - 24591257856000000000*k^6*n^5*
   c[n, -1 + k] - 204386646718800000000*n^6*c[n, -1 + k] - 
  84327824849400000000*k*n^6*c[n, -1 + k] + 21354766808400000000*k^2*n^6*
   c[n, -1 + k] + 200260715844600000000*k^3*n^6*c[n, -1 + k] + 
  70452342259200000000*k^4*n^6*c[n, -1 + k] - 3353353344000000000*k^5*n^6*
   c[n, -1 + k] - 25120292281200000000*n^7*c[n, -1 + k] + 
  11063550110400000000*k*n^7*c[n, -1 + k] + 7458657649200000000*k^2*n^7*
   c[n, -1 + k] + 6598084521600000000*k^3*n^7*c[n, -1 + k] - 
  1086820464600000000*n^8*c[n, -1 + k] + 1086820464600000000*k*n^8*
   c[n, -1 + k] + 6268866379776000000000*k*c[n, k] + 
  22587385227264000000000*k^2*c[n, k] + 18005574647808000000000*k^3*c[n, k] - 
  8614400509440000000000*k^4*c[n, k] - 20764711604736000000000*k^5*c[n, k] - 
  12987673408512000000000*k^6*c[n, k] - 3914665970688000000000*k^7*c[n, k] - 
  559795484160000000000*k^8*c[n, k] - 22205145600000000000*k^9*c[n, k] + 
  1625868288000000000*k^10*c[n, k] + 17001092477952000000000*k*n*c[n, k] + 
  39687381347328000000000*k^2*n*c[n, k] + 16485711466752000000000*k^3*n*
   c[n, k] - 24683269957632000000000*k^4*n*c[n, k] - 
  30606159260160000000000*k^5*n*c[n, k] - 14257933189632000000000*k^6*n*
   c[n, k] - 3267174797568000000000*k^7*n*c[n, k] - 
  347860541952000000000*k^8*n*c[n, k] - 11787545088000000000*k^9*n*c[n, k] + 
  15459269202432000000000*k*n^2*c[n, k] + 25551510386688000000000*k^2*n^2*
   c[n, k] + 1649399469696000000000*k^3*n^2*c[n, k] - 
  20252051664768000000000*k^4*n^2*c[n, k] - 16144157437056000000000*k^5*n^2*
   c[n, k] - 5387807601792000000000*k^6*n^2*c[n, k] - 
  829283152896000000000*k^7*n^2*c[n, k] - 46879202304000000000*k^8*n^2*
   c[n, k] + 6984657402624000000000*k*n^3*c[n, k] + 
  7932435743232000000000*k^2*n^3*c[n, k] - 2673172725696000000000*k^3*n^3*
   c[n, k] - 7417942519680000000000*k^4*n^3*c[n, k] - 
  3914855613504000000000*k^5*n^3*c[n, k] - 845613343872000000000*k^6*n^3*
   c[n, k] - 65508943104000000000*k^7*n^3*c[n, k] + 
  1772629246080000000000*k*n^4*c[n, k] + 1218211923456000000000*k^2*n^4*
   c[n, k] - 1149977204640000000000*k^3*n^4*c[n, k] - 
  1352872958976000000000*k^4*n^4*c[n, k] - 441145675872000000000*k^5*n^4*
   c[n, k] - 46845330048000000000*k^6*n^4*c[n, k] + 
  258129172224000000000*k*n^5*c[n, k] + 70674462144000000000*k^2*n^5*
   c[n, k] - 191962542816000000000*k^3*n^5*c[n, k] - 
  118355307840000000000*k^4*n^5*c[n, k] - 18485783712000000000*k^5*n^5*
   c[n, k] + 20204800704000000000*k*n^6*c[n, k] - 
  2413398240000000000*k^2*n^6*c[n, k] - 13946901408000000000*k^3*n^6*
   c[n, k] - 3844501056000000000*k^4*n^6*c[n, k] + 
  660508992000000000*k*n^7*c[n, k] - 330254496000000000*k^2*n^7*c[n, k] - 
  330254496000000000*k^3*n^7*c[n, k] - 3294881564901883001894338560*
   c[2 + n, -30 + k] - 8548726780530755874146746368*k*c[2 + n, -30 + k] + 
  3045510980869384071458832384*k^2*c[2 + n, -30 + k] + 
  8611578707696176369598226432*k^3*c[2 + n, -30 + k] + 
  1668917919960274792159982592*k^4*c[2 + n, -30 + k] - 
  1133905523054681096989005312*k^5*c[2 + n, -30 + k] - 
  354240016665146596174980096*k^6*c[2 + n, -30 + k] + 
  1757153058792260376660480*k^7*c[2 + n, -30 + k] + 
  4269913971940578040409088*k^8*c[2 + n, -30 + k] - 
  287874010820543871767040*k^9*c[2 + n, -30 + k] + 
  7146224860953762726912*k^10*c[2 + n, -30 + k] - 
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   c[4 + n, -3 + k] + 22430207923200000000*k^11*c[4 + n, -3 + k] - 
  27668612087193600000000*n*c[4 + n, -3 + k] + 41943736927488000000000*k*n*
   c[4 + n, -3 + k] + 46009767014400000000*k^2*n*c[4 + n, -3 + k] - 
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  433954005854400000000*n^5*c[4 + n, -3 + k] + 199357158268800000000*k*n^5*
   c[4 + n, -3 + k] - 135699474279600000000*k^2*n^5*c[4 + n, -3 + k] - 
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   c[4 + n, -3 + k] + 15248961244800000000*k*n^6*c[4 + n, -3 + k] - 
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  3003831378000000000*n^7*c[4 + n, -3 + k] + 720144545400000000*k*n^7*
   c[4 + n, -3 + k] - 235419177600000000*k^2*n^7*c[4 + n, -3 + k] - 
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  82891528200000000*n^8*c[4 + n, -3 + k] + 18250806600000000*k*n^8*
   c[4 + n, -3 + k] - 114062508822729356547194880*c[6 + n, -28 + k] - 
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   c[6 + n, -28 + k] - 229529565225123947264839680*k*n*c[6 + n, -28 + k] + 
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  4698466279360570080*n^7*c[6 + n, -28 + k] - 12208888224529640280*k*n^7*
   c[6 + n, -28 + k] - 77493186684671940*k^2*n^7*c[6 + n, -28 + k] + 
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  199936835605568880*n^8*c[6 + n, -28 + k] - 7140601271627460*k*n^8*
   c[6 + n, -28 + k] + 37889503596934606431682560*c[6 + n, -27 + k] - 
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  5515200735353806464*k^11*c[6 + n, -27 + k] - 11612332161004337520998400*n*
   c[6 + n, -27 + k] - 2162748690893654545322843136*k*n*c[6 + n, -27 + k] + 
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   c[6 + n, -27 + k] + 44213440932458423639580672000*c[6 + n, -26 + k] + 
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  265189724274902400000*n^7*c[8 + n, -8 + k] + 291556977795561600000*k*n^7*
   c[8 + n, -8 + k] - 7525198005415200000*k^2*n^7*c[8 + n, -8 + k] - 
  7882463925547200000*k^3*n^7*c[8 + n, -8 + k] - 
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   c[8 + n, -8 + k] + 910133773805813760000000*c[8 + n, -7 + k] + 
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   c[8 + n, -7 + k] - 17414810721792000000*k^11*c[8 + n, -7 + k] + 
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  14490974520000000*k^6*n^5*c[8 + n, -7 + k] + 383686858369728000000*n^6*
   c[8 + n, -7 + k] - 52210007655264000000*k*n^6*c[8 + n, -7 + k] - 
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   c[8 + n, -7 + k] - 4973908680000000*k^2*n^7*c[8 + n, -7 + k] - 
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   c[8 + n, -7 + k] + 135841648803840000000000*c[8 + n, -6 + k] + 
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   c[8 + n, -6 + k] - 9500859878400000000*k^10*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] + 8089948690698240000000*k*n*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] + 105704565246812160000000*n^2*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] - 113088721017600000000*k^2*n^5*c[8 + n, -6 + k] + 
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  41114375280000000*k^5*n^5*c[8 + n, -6 + k] - 226541882160000000*k^6*n^5*
   c[8 + n, -6 + k] + 72690521558400000000*n^6*c[8 + n, -6 + k] - 
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   c[8 + n, -6 + k] - 20537242200000000*k^2*n^7*c[8 + n, -6 + k] - 
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   c[10 + n, -25 + k] + 2542392659928630600*k^2*n^6*c[10 + n, -25 + k] + 
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   c[10 + n, -25 + k] - 9806929806252600*k^2*n^7*c[10 + n, -25 + k] + 
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  16880220642121200*n^8*c[10 + n, -25 + k] - 98714740597200*k*n^8*
   c[10 + n, -25 + k] + 20483892804201935457484800*c[10 + n, -24 + k] + 
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  2288793528299520000000*k^7*c[10 + n, -9 + k] - 
  454296394506240000000*k^8*c[10 + n, -9 + k] - 
  17955005460480000000*k^9*c[10 + n, -9 + k] + 9419196948480000000*k^10*
   c[10 + n, -9 + k] - 469624113160519680000000*n*c[10 + n, -9 + k] - 
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  6259700684160000000*n^7*c[10 + n, -9 + k] - 1693450495440000000*k*n^7*
   c[10 + n, -9 + k] + 227873036160000000*k^2*n^7*c[10 + n, -9 + k] + 
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  116906755680000000*n^8*c[10 + n, -9 + k] - 38037645360000000*k*n^8*
   c[10 + n, -9 + k] - 50831251262668800000000*c[10 + n, -8 + k] - 
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   c[10 + n, -8 + k] - 67163771555020800000000*n*c[10 + n, -8 + k] - 
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  74518963200000000*k^10*n*c[10 + n, -8 + k] - 38125318687948800000000*n^2*
   c[10 + n, -8 + k] - 38518973698867200000000*k*n^2*c[10 + n, -8 + k] + 
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  14971862188800000000*k^5*n^4*c[10 + n, -8 + k] - 
  804466080000000000*k^6*n^4*c[10 + n, -8 + k] + 
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  21670083705600000000*n^6*c[10 + n, -8 + k] - 12295834214400000000*k*n^6*
   c[10 + n, -8 + k] + 2217781684800000000*k^2*n^6*c[10 + n, -8 + k] + 
  1348731648000000000*k^3*n^6*c[10 + n, -8 + k] + 
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   c[10 + n, -8 + k] + 41262566400000000*k^2*n^7*c[10 + n, -8 + k] + 
  20323353600000000*k^3*n^7*c[10 + n, -8 + k] - 
  16512724800000000*n^8*c[10 + n, -8 + k] - 8006169600000000*k*n^8*
   c[10 + n, -8 + k], 3072599309720793019884281983401984*
   c[-16 + n, -32 + k] + 3743639255337516390187472309452800*k*
   c[-16 + n, -32 + k] - 2619687399236170291215654727974912*k^2*
   c[-16 + n, -32 + k] - 4259955805962464345793896669773824*k^3*
   c[-16 + n, -32 + k] - 767411775711866840262272832503808*k^4*
   c[-16 + n, -32 + k] + 581574022523922016678912972554240*k^5*
   c[-16 + n, -32 + k] + 230697156286934876203372995674112*k^6*
   c[-16 + n, -32 + k] + 19393459941354662540218994786304*k^7*
   c[-16 + n, -32 + k] - 848222900019488222435025616896*k^8*
   c[-16 + n, -32 + k] + 2614473610123417162329279298535424*n*
   c[-16 + n, -32 + k] + 2455349303347692391031986779586560*k*n*
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   c[-16 + n, -32 + k] - 1662984686010588823420331737743360*k^3*n*
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   c[-16 + n, -32 + k] - 73715604234939685086575984640*k^6*n*
   c[-16 + n, -32 + k] - 5495609271751982224117497593856*k^7*n*
   c[-16 + n, -32 + k] + 166166195581880968476031451136*k^8*n*
   c[-16 + n, -32 + k] + 750807479769221654897676987138048*n^2*
   c[-16 + n, -32 + k] + 433142165419904948464229642403840*k*n^2*
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   c[-16 + n, -32 + k] - 18120239514773305078338363064320*k*n^3*
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   c[-16 + n, -32 + k] + 33963954092928940410475395416064*k^3*n^3*
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   c[-16 + n, -32 + k] + 658457451090428108027329511424*k^3*n^4*
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   c[-16 + n, -32 + k] - 26771868601341040909350862848*k^6*n^4*
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   c[-16 + n, -32 + k] + 16671137077647228820952973312*k^2*n^5*
   c[-16 + n, -32 + k] - 292940412211766299091974225920*k^3*n^5*
   c[-16 + n, -32 + k] + 93957202593580683310877638656*k^4*n^5*
   c[-16 + n, -32 + k] - 12551489927114613486168047616*k^5*n^5*
   c[-16 + n, -32 + k] + 309400722779156516412850176*k^6*n^5*
   c[-16 + n, -32 + k] + 58634311935104861454521597952*n^6*
   c[-16 + n, -32 + k] + 57031445992976312365121273856*k*n^6*
   c[-16 + n, -32 + k] - 49233692729499981606769655808*k^2*n^6*
   c[-16 + n, -32 + k] + 10910424110012652860448178176*k^3*n^6*
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   c[-16 + n, -32 + k] - 329248152064084699087110144*n^8*
   c[-16 + n, -32 + k] + 10289004752002646846472192*k*n^8*
   c[-16 + n, -32 + k] + 94124483464258180553372672024641536*
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   c[-16 + n, -31 + k] + 80090487980407309023082381936951296*n*
   c[-16 + n, -31 + k] + 75124823804825430811639468680806400*k*n*
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   c[-16 + n, -31 + k] - 168548631153783189248255987810304*k^7*n*
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   c[-16 + n, -31 + k] + 13242492434174805786230590726471680*k*n^2*
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   c[-16 + n, -31 + k] - 123089625717286193763952569090048*k^4*n^3*
   c[-16 + n, -31 + k] - 100738041384459822328943581593600*k^5*n^3*
   c[-16 + n, -31 + k] + 22504658374105146693428963180544*k^6*n^3*
   c[-16 + n, -31 + k] - 851258647168968938884404609024*k^7*n^3*
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   c[-16 + n, -31 + k] - 258955257667993556462910805377024*k*n^4*
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   c[-16 + n, -31 + k] + 19951717597425699075750453313536*k^3*n^4*
   c[-16 + n, -31 + k] - 27467872501152200053745516544000*k^4*n^4*
   c[-16 + n, -31 + k] + 12316534492240340742027324948480*k^5*n^4*
   c[-16 + n, -31 + k] - 833149244493042270339776643072*k^6*n^4*
   c[-16 + n, -31 + k] + 14968575305488321943602987008*k^7*n^4*
   c[-16 + n, -31 + k] - 38833091253518277833270929391616*n^5*
   c[-16 + n, -31 + k] + 3508660170250517110121841033216*k*n^5*
   c[-16 + n, -31 + k] + 508134165607451224703949078528*k^2*n^5*
   c[-16 + n, -31 + k] - 8974452429728750516785077288960*k^3*n^5*
   c[-16 + n, -31 + k] + 2888428305370106001661240541184*k^4*n^5*
   c[-16 + n, -31 + k] - 387452617362557739794058706944*k^5*n^5*
   c[-16 + n, -31 + k] + 9823127544226711275489460224*k^6*n^5*
   c[-16 + n, -31 + k] + 1796174433390547774188036292608*n^6*
   c[-16 + n, -31 + k] + 1745029298236389292686132117504*k*n^6*
   c[-16 + n, -31 + k] - 1510252259311327737096702001152*k^2*n^6*
   c[-16 + n, -31 + k] + 335876475210884211986267111424*k^3*n^6*
   c[-16 + n, -31 + k] - 74347553629683611491406708736*k^4*n^6*
   c[-16 + n, -31 + k] + 2104955902334295273319170048*k^5*n^6*
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  988015636635443566200000000*k^4*n^4*c[-4 + n, -1 + k] - 
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  10328849843824762272000000*k^7*n^4*c[-4 + n, -1 + k] + 
  84149619091389993024000000*n^5*c[-4 + n, -1 + k] + 
  254274779597998808664000000*k*n^5*c[-4 + n, -1 + k] - 
  28261302551221911588000000*k^2*n^5*c[-4 + n, -1 + k] - 
  242703249417271856772000000*k^3*n^5*c[-4 + n, -1 + k] - 
  65655552213717554052000000*k^4*n^5*c[-4 + n, -1 + k] + 
  20046121432841514780000000*k^5*n^5*c[-4 + n, -1 + k] + 
  4382057535791979384000000*k^6*n^5*c[-4 + n, -1 + k] + 
  25844439682365383664000000*n^6*c[-4 + n, -1 + k] + 
  16207302236678969778000000*k*n^6*c[-4 + n, -1 + k] - 
  32826380763651154218000000*k^2*n^6*c[-4 + n, -1 + k] - 
  15756265128771358002000000*k^3*n^6*c[-4 + n, -1 + k] + 
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  1799449478516131623000000*k*n^7*c[-4 + n, -1 + k] - 
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  123415693812032895000000*n^8*c[-4 + n, -1 + k] - 
  195716707190624295000000*k*n^8*c[-4 + n, -1 + k] + 
  139711668450337751040000000*k*c[-4 + n, k] + 110845144326173982720000000*
   k^2*c[-4 + n, k] - 373454184512570265600000000*k^3*c[-4 + n, k] - 
  359663517497626736640000000*k^4*c[-4 + n, k] + 
  203995359019517061120000000*k^5*c[-4 + n, k] + 
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  35656107501082613760000000*k^8*c[-4 + n, k] - 
  13629455170513090560000000*k^9*c[-4 + n, k] - 
  1338433933814968320000000*k^10*c[-4 + n, k] + 
  4574543015116800000000*k^11*c[-4 + n, k] - 14399823111476674560000000*k*n*
   c[-4 + n, k] - 382378857478144727040000000*k^2*n*c[-4 + n, k] - 
  420500173657033159680000000*k^3*n*c[-4 + n, k] + 
  476264354690039362560000000*k^4*n*c[-4 + n, k] + 
  773911889987380116480000000*k^5*n*c[-4 + n, k] + 
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  6232644342573327360000000*k^9*n*c[-4 + n, k] + 
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  323309832529711057920000000*k^2*n^2*c[-4 + n, k] + 
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  758311819847682301440000000*k^4*n^2*c[-4 + n, k] + 
  385248382862517342720000000*k^5*n^2*c[-4 + n, k] - 
  42940565780311595520000000*k^6*n^2*c[-4 + n, k] - 
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  928990654732800000000*k^6*n^5*c[-4 + n, k] + 1610422535880662400000000*k*
   n^6*c[-4 + n, k] + 2552837914486203840000000*k^2*n^6*c[-4 + n, k] + 
  499693513311109440000000*k^3*n^6*c[-4 + n, k] - 
  240983685080392320000000*k^4*n^6*c[-4 + n, k] - 
  107170124371200000000*k^5*n^6*c[-4 + n, k] + 189717032974135680000000*k*n^7*
   c[-4 + n, k] + 123801013758876480000000*k^2*n^7*c[-4 + n, k] - 
  20672234241721920000000*k^3*n^7*c[-4 + n, k] + 
  8160238972192320000000*k*n^8*c[-4 + n, k] + 18669936411102889143189504000*
   c[-2 + n, -30 + k] + 23033748930668607313227571200*k*c[-2 + n, -30 + k] - 
  17309720761317313303945927680*k^2*c[-2 + n, -30 + k] - 
  27046997598807986447299451904*k^3*c[-2 + n, -30 + k] - 
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  13092256363198753036800000*k*n^5*c[-2 + n, -2 + k] + 
  21431614756774929616800000*k^2*n^5*c[-2 + n, -2 + k] + 
  2683157070743600126400000*k^3*n^5*c[-2 + n, -2 + k] + 
  4727608751221786558800000*k^4*n^5*c[-2 + n, -2 + k] + 
  1607576108861424160800000*k^5*n^5*c[-2 + n, -2 + k] - 
  1260482467994285778000000*k^6*n^5*c[-2 + n, -2 + k] - 
  4619130556145957467200000*n^6*c[-2 + n, -2 + k] + 
  6544914936147311868000000*k*n^6*c[-2 + n, -2 + k] + 
  8248765077921782925000000*k^2*n^6*c[-2 + n, -2 + k] - 
  428883962933858806800000*k^3*n^6*c[-2 + n, -2 + k] - 
  249401371150848173400000*k^4*n^6*c[-2 + n, -2 + k] - 
  84765245718803760000000*k^5*n^6*c[-2 + n, -2 + k] - 
  278632112839178904000000*n^7*c[-2 + n, -2 + k] + 
  1350669887379347358600000*k*n^7*c[-2 + n, -2 + k] + 
  607645154693277491400000*k^2*n^7*c[-2 + n, -2 + k] - 
  153283599500669787600000*k^3*n^7*c[-2 + n, -2 + k] - 
  3641990297791669200000*n^8*c[-2 + n, -2 + k] + 
  73539018101253603600000*k*n^8*c[-2 + n, -2 + k] - 
  6921870327640719360000000*c[-2 + n, -1 + k] - 
  45831882356704020480000000*k*c[-2 + n, -1 + k] - 
  31710302150499224320000000*k^2*c[-2 + n, -1 + k] + 
  93702574845530353280000000*k^3*c[-2 + n, -1 + k] + 
  95702125780256454400000000*k^4*c[-2 + n, -1 + k] - 
  44798545263219186560000000*k^5*c[-2 + n, -1 + k] - 
  66851226030312264960000000*k^6*c[-2 + n, -1 + k] - 
  5409111496713575040000000*k^7*c[-2 + n, -1 + k] + 
  9852915875779088640000000*k^8*c[-2 + n, -1 + k] + 
  2377417585388860800000000*k^9*c[-2 + n, -1 + k] - 
  70941658405939200000000*k^10*c[-2 + n, -1 + k] - 
  41154803459827200000000*k^11*c[-2 + n, -1 + k] - 
  33797382699989975040000000*n*c[-2 + n, -1 + k] - 
  39867607948544853120000000*k*n*c[-2 + n, -1 + k] + 
  147221019648965928960000000*k^2*n*c[-2 + n, -1 + k] + 
  221414840234231777280000000*k^3*n*c[-2 + n, -1 + k] - 
  64542983246263609920000000*k^4*n*c[-2 + n, -1 + k] - 
  207896551670300040000000000*k^5*n*c[-2 + n, -1 + k] - 
  62588130544265287680000000*k^6*n*c[-2 + n, -1 + k] + 
  25835795715347003520000000*k^7*n*c[-2 + n, -1 + k] + 
  13331910288857906880000000*k^8*n*c[-2 + n, -1 + k] + 
  1018387678094487360000000*k^9*n*c[-2 + n, -1 + k] - 
  107946782966183040000000*k^10*n*c[-2 + n, -1 + k] - 
  18329314702328090240000000*n^2*c[-2 + n, -1 + k] + 
  57276557090305962400000000*k*n^2*c[-2 + n, -1 + k] + 
  190220263008831299840000000*k^2*n^2*c[-2 + n, -1 + k] + 
  41033542791642705440000000*k^3*n^2*c[-2 + n, -1 + k] - 
  181295154152489486880000000*k^4*n^2*c[-2 + n, -1 + k] - 
  118024730660655416160000000*k^5*n^2*c[-2 + n, -1 + k] + 
  7119242856102585600000000*k^6*n^2*c[-2 + n, -1 + k] + 
  18234418814991165600000000*k^7*n^2*c[-2 + n, -1 + k] + 
  2674964762741573280000000*k^8*n^2*c[-2 + n, -1 + k] - 
  110496518673742080000000*k^9*n^2*c[-2 + n, -1 + k] + 
  12307115645024335200000000*n^3*c[-2 + n, -1 + k] + 
  71584954406976019680000000*k*n^3*c[-2 + n, -1 + k] + 
  59752636283768374800000000*k^2*n^3*c[-2 + n, -1 + k] - 
  60948211413023083440000000*k^3*n^3*c[-2 + n, -1 + k] - 
  82709469694849646160000000*k^4*n^3*c[-2 + n, -1 + k] - 
  13688749547295034320000000*k^5*n^3*c[-2 + n, -1 + k] + 
  10346380601939903520000000*k^6*n^3*c[-2 + n, -1 + k] + 
  2657938191917611680000000*k^7*n^3*c[-2 + n, -1 + k] - 
  54341635633623360000000*k^8*n^3*c[-2 + n, -1 + k] + 
  14735233683260775360000000*n^4*c[-2 + n, -1 + k] + 
  28120046123569362480000000*k*n^4*c[-2 + n, -1 + k] - 
  4957986052046208600000000*k^2*n^4*c[-2 + n, -1 + k] - 
  30197102628167433720000000*k^3*n^4*c[-2 + n, -1 + k] - 
  11844207752890517640000000*k^4*n^4*c[-2 + n, -1 + k] + 
  2640277283551067880000000*k^5*n^4*c[-2 + n, -1 + k] + 
  1396241768227569120000000*k^6*n^4*c[-2 + n, -1 + k] - 
  12246755030880480000000*k^7*n^4*c[-2 + n, -1 + k] + 
  5694094788592055040000000*n^5*c[-2 + n, -1 + k] + 
  4412024668589180040000000*k*n^5*c[-2 + n, -1 + k] - 
  5845155893932512060000000*k^2*n^5*c[-2 + n, -1 + k] - 
  4788038387960959860000000*k^3*n^5*c[-2 + n, -1 + k] + 
  94419016777775700000000*k^4*n^5*c[-2 + n, -1 + k] + 
  449880846790036860000000*k^5*n^5*c[-2 + n, -1 + k] - 
  755523835018920000000*k^6*n^5*c[-2 + n, -1 + k] + 
  1089446067889817040000000*n^6*c[-2 + n, -1 + k] + 
  66050279369587890000000*k*n^6*c[-2 + n, -1 + k] - 
  1055403482881970070000000*k^2*n^6*c[-2 + n, -1 + k] - 
  187110550864172250000000*k^3*n^6*c[-2 + n, -1 + k] + 
  94291653215193390000000*k^4*n^6*c[-2 + n, -1 + k] + 
  66961639483200000000*k^5*n^6*c[-2 + n, -1 + k] + 
  104798270088866250000000*n^7*c[-2 + n, -1 + k] - 
  52667310778193430000000*k*n^7*c[-2 + n, -1 + k] - 
  61488946148312070000000*k^2*n^7*c[-2 + n, -1 + k] + 
  10185623437309650000000*k^3*n^7*c[-2 + n, -1 + k] + 
  4054713040035450000000*n^8*c[-2 + n, -1 + k] - 
  4022909983175850000000*k*n^8*c[-2 + n, -1 + k] + 
  17251704078336000000000*k*c[-2 + n, k] + 81118222996684800000000*k^2*
   c[-2 + n, k] + 111005284832716800000000*k^3*c[-2 + n, k] + 
  1127683716864000000000*k^4*c[-2 + n, k] - 116835934782144000000000*k^5*
   c[-2 + n, k] - 94488754704768000000000*k^6*c[-2 + n, k] - 
  18023162148172800000000*k^7*c[-2 + n, k] + 10870911016704000000000*k^8*
   c[-2 + n, k] + 6558350359104000000000*k^9*c[-2 + n, k] + 
  1320310361779200000000*k^10*c[-2 + n, k] + 95384272896000000000*k^11*
   c[-2 + n, k] + 54262713451315200000000*k*n*c[-2 + n, k] + 
  240420531594009600000000*k^2*n*c[-2 + n, k] + 
  338245437037785600000000*k^3*n*c[-2 + n, k] + 
  129252730643481600000000*k^4*n*c[-2 + n, k] - 
  88729584756537600000000*k^5*n*c[-2 + n, k] - 85462974141465600000000*k^6*n*
   c[-2 + n, k] - 14896870727846400000000*k^7*n*c[-2 + n, k] + 
  6060380777856000000000*k^8*n*c[-2 + n, k] + 2561320383494400000000*k^9*n*
   c[-2 + n, k] + 262306750464000000000*k^10*n*c[-2 + n, k] + 
  68299292594457600000000*k*n^2*c[-2 + n, k] + 255886759924358400000000*k^2*
   n^2*c[-2 + n, k] + 312085619811580800000000*k^3*n^2*c[-2 + n, k] + 
  115731040442745600000000*k^4*n^2*c[-2 + n, k] - 
  39421158522652800000000*k^5*n^2*c[-2 + n, k] - 
  37453899783398400000000*k^6*n^2*c[-2 + n, k] - 
  6079800033043200000000*k^7*n^2*c[-2 + n, k] + 
  928948468377600000000*k^8*n^2*c[-2 + n, k] + 238460682240000000000*k^9*n^2*
   c[-2 + n, k] + 41608868060448000000000*k*n^3*c[-2 + n, k] + 
  128275025123404800000000*k^2*n^3*c[-2 + n, k] + 
  126929795175086400000000*k^3*n^3*c[-2 + n, k] + 
  34929732844166400000000*k^4*n^3*c[-2 + n, k] - 
  13460188566139200000000*k^5*n^3*c[-2 + n, k] - 
  8492331459772800000000*k^6*n^3*c[-2 + n, k] - 
  992037777667200000000*k^7*n^3*c[-2 + n, k] + 47692136448000000000*k^8*n^3*
   c[-2 + n, k] + 14001443788924800000000*k*n^4*c[-2 + n, k] + 
  34363096733836800000000*k^2*n^4*c[-2 + n, k] + 
  25743016701496800000000*k^3*n^4*c[-2 + n, k] + 
  3923980707513600000000*k^4*n^4*c[-2 + n, k] - 
  2562355197050400000000*k^5*n^4*c[-2 + n, k] - 
  849780576532800000000*k^6*n^4*c[-2 + n, k] - 44711377920000000000*k^7*n^4*
   c[-2 + n, k] + 2757749667940800000000*k*n^5*c[-2 + n, k] + 
  5081229961257600000000*k^2*n^5*c[-2 + n, k] + 
  2561399181882000000000*k^3*n^5*c[-2 + n, k] + 
  45837667173600000000*k^4*n^5*c[-2 + n, k] - 201943416826800000000*k^5*n^5*
   c[-2 + n, k] - 24591257856000000000*k^6*n^5*c[-2 + n, k] + 
  317449898906400000000*k*n^6*c[-2 + n, k] + 391794288476400000000*k^2*n^6*
   c[-2 + n, k] + 99792154774800000000*k^3*n^6*c[-2 + n, k] - 
  12290182423200000000*k^4*n^6*c[-2 + n, k] - 3353353344000000000*k^5*n^6*
   c[-2 + n, k] + 19816407000000000000*k*n^7*c[-2 + n, k] + 
  12309337918800000000*k^2*n^7*c[-2 + n, k] + 3377602800000000*k^3*n^7*
   c[-2 + n, k] + 519070453200000000*k*n^8*c[-2 + n, k] - 
  4147506477918349983734169600*c[n, -29 + k] - 5154893926676285227052064768*k*
   c[n, -29 + k] + 3832220708915070553698696192*k^2*c[n, -29 + k] + 
  6058992223872211862760346368*k^3*c[n, -29 + k] + 
  652611927520831447431477504*k^4*c[n, -29 + k] - 
  986451062324326968044139264*k^5*c[n, -29 + k] - 
  262708784555351694960473856*k^6*c[n, -29 + k] + 
  4672315493719215451810560*k^7*c[n, -29 + k] + 
  3303880393299081237566208*k^8*c[n, -29 + k] - 
  247386584341013961648384*k^9*c[n, -29 + k] + 6644481664639492599552*k^10*
   c[n, -29 + k] - 62618141912320000512*k^11*c[n, -29 + k] - 
  4912579454110933896380104704*n*c[n, -29 + k] - 
  5764308626726368216627438080*k*n*c[n, -29 + k] + 
  2642584474017439812249402240*k^2*n*c[n, -29 + k] + 
  3898278492892854418358881920*k^3*n*c[n, -29 + k] + 
  27470703087596613665611008*k^4*n*c[n, -29 + k] - 
  475827311576852079317202816*k^5*n*c[n, -29 + k] - 
  41619143278951547879351808*k^6*n*c[n, -29 + k] + 
  7783503030972917778003840*k^7*n*c[n, -29 + k] - 
  311291731039269868123392*k^8*n*c[n, -29 + k] + 
  3838761898814083773312*k^9*n*c[n, -29 + k] + 399030507855061632*k^10*n*
   c[n, -29 + k] - 2350123601247302920850483712*n^2*c[n, -29 + k] - 
  2469390224800133922772089600*k*n^2*c[n, -29 + k] + 
  773036146277175663256530816*k^2*n^2*c[n, -29 + k] + 
  982518940560883114864029888*k^3*n^2*c[n, -29 + k] - 
  68525647787249013584563776*k^4*n^2*c[n, -29 + k] - 
  65353142629724343546902400*k^5*n^2*c[n, -29 + k] + 
  3208435969508692024084992*k^6*n^2*c[n, -29 + k] + 
  126987908155745110776000*k^7*n^2*c[n, -29 + k] - 
  9201525074499884284224*k^8*n^2*c[n, -29 + k] + 
  128794994395303534848*k^9*n^2*c[n, -29 + k] - 
  579267563302888608690951552*n^3*c[n, -29 + k] - 
  517297314171888419501303424*k*n^3*c[n, -29 + k] + 
  125852907837786542517352320*k^2*n^3*c[n, -29 + k] + 
  120267989411190331460327712*k^3*n^3*c[n, -29 + k] - 
  13986893990505498711566400*k^4*n^3*c[n, -29 + k] - 
  2129035254913345407702912*k^5*n^3*c[n, -29 + k] + 
  238997453240946242390976*k^6*n^3*c[n, -29 + k] - 
  6996831866232913023264*k^7*n^3*c[n, -29 + k] + 
  58114103281025413248*k^8*n^3*c[n, -29 + k] - 77197741468842270406485888*n^4*
   c[n, -29 + k] - 55454375892875801522650560*k*n^4*c[n, -29 + k] + 
  11491927536424078482869664*k^2*n^4*c[n, -29 + k] + 
  7017236197438067617726368*k^3*n^4*c[n, -29 + k] - 
  903575322318754439751744*k^4*n^4*c[n, -29 + k] + 
  30755427231110485445568*k^5*n^4*c[n, -29 + k] + 
  533006215942026635424*k^6*n^4*c[n, -29 + k] - 
  28285114729305883680*k^7*n^4*c[n, -29 + k] - 5254062642716613037468416*n^5*
   c[n, -29 + k] - 2908419676326632496853440*k*n^5*c[n, -29 + k] + 
  476824988415142848014856*k^2*n^5*c[n, -29 + k] + 
  165751719343622839858320*k^3*n^5*c[n, -29 + k] - 
  15277830792947603265024*k^4*n^5*c[n, -29 + k] + 
  736600845441411392112*k^5*n^5*c[n, -29 + k] - 
  14553465226997294664*k^6*n^5*c[n, -29 + k] - 147237876285047896840128*n^6*
   c[n, -29 + k] - 68588043031106451322848*k*n^6*c[n, -29 + k] + 
  5335071303514463225136*k^2*n^6*c[n, -29 + k] + 
  1459339941783587203008*k^3*n^6*c[n, -29 + k] - 
  53645362567675982928*k^4*n^6*c[n, -29 + k] - 711368752076369480808*n^7*
   c[n, -29 + k] - 616680523658572019712*k*n^7*c[n, -29 + k] - 
  4730883273462880872*k^2*n^7*c[n, -29 + k] + 925572051792088272*k^3*n^7*
   c[n, -29 + k] + 10573959500776281168*n^8*c[n, -29 + k] - 
  364619293130216592*k*n^8*c[n, -29 + k] + 166909053366119670155231625216*
   c[n, -28 + k] + 198213802152848947219609239552*k*c[n, -28 + k] - 
  158815062338061790848334012416*k^2*c[n, -28 + k] - 
  232222425209091068778718087680*k^3*c[n, -28 + k] - 
  21651423739157395357662988224*k^4*c[n, -28 + k] + 
  38143720420119114520749196032*k^5*c[n, -28 + k] + 
  9777922335876744661342845888*k^6*c[n, -28 + k] - 
  239169346464879127914873984*k^7*c[n, -28 + k] - 
  126138042786467660806168128*k^8*c[n, -28 + k] + 
  9997920514802606208044544*k^9*c[n, -28 + k] - 
  280267141545757590054336*k^10*c[n, -28 + k] + 
  2747223868367885233536*k^11*c[n, -28 + k] + 191403898454661384949203861504*
   n*c[n, -28 + k] + 204678883624896123223931329536*k*n*c[n, -28 + k] - 
  122482441303718501742809620608*k^2*n*c[n, -28 + k] - 
  146547506172965869588041238464*k^3*n*c[n, -28 + k] + 
  3685607112476805791094205056*k^4*n*c[n, -28 + k] + 
  18511131294612876380858645184*k^5*n*c[n, -28 + k] + 
  1384277976897488018499702240*k^6*n*c[n, -28 + k] - 
  312282729515878782134926464*k^7*n*c[n, -28 + k] + 
  14299009061846237754310656*k^8*n*c[n, -28 + k] - 
  228378947453187325914240*k^9*n*c[n, -28 + k] + 
  819357933234842378784*k^10*n*c[n, -28 + k] + 89086886936807165680178331648*
   n^2*c[n, -28 + k] + 82373107746837847075496305344*k*n^2*c[n, -28 + k] - 
  38484557418609314846572039632*k^2*n^2*c[n, -28 + k] - 
  34777084265687438328788072064*k^3*n^2*c[n, -28 + k] + 
  4112230498728804761299859376*k^4*n^2*c[n, -28 + k] + 
  2390673847541243103494646624*k^5*n^2*c[n, -28 + k] - 
  161084750797682597588165712*k^6*n^2*c[n, -28 + k] - 
  1340169385154153102754912*k^7*n^2*c[n, -28 + k] + 
  251552278224915309134064*k^8*n^2*c[n, -28 + k] - 
  3990783448931407330752*k^9*n^2*c[n, -28 + k] + 
  21441511409993050219721212608*n^3*c[n, -28 + k] + 
  16406502909342746818725591696*k*n^3*c[n, -28 + k] - 
  6121186767433439830980788256*k^2*n^3*c[n, -28 + k] - 
  3825355500554232181104541296*k^3*n^3*c[n, -28 + k] + 
  629803057631767389319864968*k^4*n^3*c[n, -28 + k] + 
  50352399377886150718143840*k^5*n^3*c[n, -28 + k] - 
  7045109338354792522485048*k^6*n^3*c[n, -28 + k] + 
  208664583037005573868896*k^7*n^3*c[n, -28 + k] - 
  1555784017669967714640*k^8*n^3*c[n, -28 + k] + 
  2798030535498733275941705856*n^4*c[n, -28 + k] + 
  1701317798852375031053620464*k*n^4*c[n, -28 + k] - 
  480260781180218654689723416*k^2*n^4*c[n, -28 + k] - 
  203410468219340528165479104*k^3*n^4*c[n, -28 + k] + 
  26955886287923151292472652*k^4*n^4*c[n, -28 + k] - 
  764644795397601373327176*k^5*n^4*c[n, -28 + k] - 
  34967480271403786388964*k^6*n^4*c[n, -28 + k] + 
  1343949422481981406872*k^7*n^4*c[n, -28 + k] + 
  187114518764361977107127328*n^5*c[n, -28 + k] + 
  90954906968220416291094840*k*n^5*c[n, -28 + k] - 
  15002401417253008336130112*k^2*n^5*c[n, -28 + k] - 
  6157762284681523255741668*k^3*n^5*c[n, -28 + k] + 
  560196735837324108842502*k^4*n^5*c[n, -28 + k] - 
  28063853293504809731148*k^5*n^5*c[n, -28 + k] + 
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   c[n, -4 + k] + 13834715682186706944000000*c[n, -3 + k] + 
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   c[n, -3 + k] + 74975885455312201318400000*n*c[n, -3 + k] + 
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  14144920309731302496000000*k^3*n^3*c[n, -3 + k] + 
  194523671660032097100000000*k^4*n^3*c[n, -3 + k] - 
  7022426873697040716000000*k^5*n^3*c[n, -3 + k] - 
  29937714483565718128800000*k^6*n^3*c[n, -3 + k] + 
  1741848131023244560800000*k^7*n^3*c[n, -3 + k] + 
  1670954037235198372800000*k^8*n^3*c[n, -3 + k] - 
  20474111966031410356800000*n^4*c[n, -3 + k] - 
  136592812782371612088000000*k*n^4*c[n, -3 + k] - 
  134616571201501292390400000*k^2*n^4*c[n, -3 + k] + 
  30613844898349078435200000*k^3*n^4*c[n, -3 + k] + 
  38963228396765268247200000*k^4*n^4*c[n, -3 + k] - 
  9363033778242112401600000*k^5*n^4*c[n, -3 + k] - 
  1884440040528338647200000*k^6*n^4*c[n, -3 + k] + 
  946889509022752046400000*k^7*n^4*c[n, -3 + k] - 
  14763057080980239907200000*n^5*c[n, -3 + k] - 
  44202214519321782456000000*k*n^5*c[n, -3 + k] - 
  24981008233102302088800000*k^2*n^5*c[n, -3 + k] + 
  8133995702546638104600000*k^3*n^5*c[n, -3 + k] + 
  3285041463137590695000000*k^4*n^5*c[n, -3 + k] - 
  935257193269942455000000*k^5*n^5*c[n, -3 + k] + 
  200186249580462558600000*k^6*n^5*c[n, -3 + k] - 
  3728532823647752203200000*n^6*c[n, -3 + k] - 7228380683196155667600000*k*
   n^6*c[n, -3 + k] - 2290569518222161533000000*k^2*n^6*c[n, -3 + k] + 
  919539252204405246000000*k^3*n^6*c[n, -3 + k] + 
  94066921776807916200000*k^4*n^6*c[n, -3 + k] + 
  3853874737104480000000*k^5*n^6*c[n, -3 + k] - 
  430164459975306279600000*n^7*c[n, -3 + k] - 565573291296796327500000*k*n^7*
   c[n, -3 + k] - 77622892148159942400000*k^2*n^7*c[n, -3 + k] + 
  38795721804681068700000*k^3*n^7*c[n, -3 + k] - 
  19062413557160044500000*n^8*c[n, -3 + k] - 15881239196307470700000*k*n^8*
   c[n, -3 + k] - 6255082819341877248000000*c[n, -2 + k] - 
  14381756860341147648000000*k*c[n, -2 + k] - 4568058102541061632000000*k^2*
   c[n, -2 + k] + 9699195974258398208000000*k^3*c[n, -2 + k] + 
  10016993952412170880000000*k^4*c[n, -2 + k] + 
  7110474812705257408000000*k^5*c[n, -2 + k] + 2007348112084893120000000*k^6*
   c[n, -2 + k] - 2526505584717178368000000*k^7*c[n, -2 + k] - 
  1322209686938049792000000*k^8*c[n, -2 + k] + 83422934501595840000000*k^9*
   c[n, -2 + k] + 121230549475054272000000*k^10*c[n, -2 + k] + 
  14946718441944960000000*k^11*c[n, -2 + k] - 23818734627581257728000000*n*
   c[n, -2 + k] - 47526462713463271424000000*k*n*c[n, -2 + k] - 
  13653881162216079872000000*k^2*n*c[n, -2 + k] + 
  18396989106649671104000000*k^3*n*c[n, -2 + k] + 
  12998767960968853664000000*k^4*n*c[n, -2 + k] + 
  6786540774450263520000000*k^5*n*c[n, -2 + k] + 
  284453317421659296000000*k^6*n*c[n, -2 + k] - 
  2446711715396140992000000*k^7*n*c[n, -2 + k] - 
  544226196009615840000000*k^8*n*c[n, -2 + k] + 
  154911279367275552000000*k^9*n*c[n, -2 + k] + 
  37904937323916960000000*k^10*n*c[n, -2 + k] - 
  35100333296863351296000000*n^2*c[n, -2 + k] - 
  58671562286462964096000000*k*n^2*c[n, -2 + k] - 
  9823376103572970912000000*k^2*n^2*c[n, -2 + k] + 
  18781424116567889376000000*k^3*n^2*c[n, -2 + k] + 
  7818745263591510144000000*k^4*n^2*c[n, -2 + k] + 
  1738366304132038608000000*k^5*n^2*c[n, -2 + k] - 
  852923741144301360000000*k^6*n^2*c[n, -2 + k] - 
  733578010081422768000000*k^7*n^2*c[n, -2 + k] + 
  16900753507265232000000*k^8*n^2*c[n, -2 + k] + 
  37433187674277120000000*k^9*n^2*c[n, -2 + k] - 
  26744055233303311488000000*n^3*c[n, -2 + k] - 
  35526422166281179776000000*k*n^3*c[n, -2 + k] + 
  355689254784594672000000*k^2*n^3*c[n, -2 + k] + 
  10575013049517552624000000*k^3*n^3*c[n, -2 + k] + 
  1961057228199379344000000*k^4*n^3*c[n, -2 + k] - 
  303899193350078040000000*k^5*n^3*c[n, -2 + k] - 
  341566084613854512000000*k^6*n^3*c[n, -2 + k] - 
  50200266141996696000000*k^7*n^3*c[n, -2 + k] + 
  17778279272347440000000*k^8*n^3*c[n, -2 + k] - 
  11730026093501158560000000*n^4*c[n, -2 + k] - 
  11487975037705786608000000*k*n^4*c[n, -2 + k] + 
  2688538768333128288000000*k^2*n^4*c[n, -2 + k] + 
  3033270175742498448000000*k^3*n^4*c[n, -2 + k] - 
  13575558502831032000000*k^4*n^4*c[n, -2 + k] - 
  184743578424548304000000*k^5*n^4*c[n, -2 + k] - 
  34097961841492032000000*k^6*n^4*c[n, -2 + k] + 
  3915004466779560000000*k^7*n^4*c[n, -2 + k] - 
  3078799805655617472000000*n^5*c[n, -2 + k] - 1938501902822602608000000*k*
   n^5*c[n, -2 + k] + 1051239620266323552000000*k^2*n^5*c[n, -2 + k] + 
  381558525488056260000000*k^3*n^5*c[n, -2 + k] - 
  80409899243419758000000*k^4*n^5*c[n, -2 + k] - 
  19942523969551128000000*k^5*n^5*c[n, -2 + k] + 
  264779263729530000000*k^6*n^5*c[n, -2 + k] - 477920234911461264000000*n^6*
   c[n, -2 + k] - 133873123836056760000000*k*n^6*c[n, -2 + k] + 
  163544288014214586000000*k^2*n^6*c[n, -2 + k] + 
  7115808459403854000000*k^3*n^6*c[n, -2 + k] - 
  8910756889969572000000*k^4*n^6*c[n, -2 + k] - 
  12663989712000000000*k^5*n^6*c[n, -2 + k] - 40482992929782312000000*n^7*
   c[n, -2 + k] + 2814825918267684000000*k*n^7*c[n, -2 + k] + 
  9265933168556769000000*k^2*n^7*c[n, -2 + k] - 
  1532447359197975000000*k^3*n^7*c[n, -2 + k] - 
  1442707950517002000000*n^8*c[n, -2 + k] + 605656686278475000000*k*n^8*
   c[n, -2 + k] + 26220309233664000000000*c[n, -1 + k] + 
  47943370020659200000000*k*c[n, -1 + k] - 39525342890112000000000*k^2*
   c[n, -1 + k] - 137332384088614400000000*k^3*c[n, -1 + k] - 
  61444856133465600000000*k^4*c[n, -1 + k] + 73223407068044800000000*k^5*
   c[n, -1 + k] + 83090360630246400000000*k^6*c[n, -1 + k] + 
  21986308395302400000000*k^7*c[n, -1 + k] - 7247122911014400000000*k^8*
   c[n, -1 + k] - 5599725524928000000000*k^9*c[n, -1 + k] - 
  1221242840294400000000*k^10*c[n, -1 + k] - 93080959488000000000*k^11*
   c[n, -1 + k] + 69603735594598400000000*n*c[n, -1 + k] + 
  128103339807193600000000*k*n*c[n, -1 + k] - 39233460173203200000000*k^2*n*
   c[n, -1 + k] - 211720100434652800000000*k^3*n*c[n, -1 + k] - 
  103393789374464000000000*k^4*n*c[n, -1 + k] + 
  64347149532556800000000*k^5*n*c[n, -1 + k] + 68074031450592000000000*k^6*n*
   c[n, -1 + k] + 11575193331196800000000*k^7*n*c[n, -1 + k] - 
  5912029244160000000000*k^8*n*c[n, -1 + k] - 2479051653408000000000*k^9*n*
   c[n, -1 + k] - 260254091750400000000*k^10*n*c[n, -1 + k] + 
  72563142884211200000000*n^2*c[n, -1 + k] + 115799629440704000000000*k*n^2*
   c[n, -1 + k] - 37232943441968000000000*k^2*n^2*c[n, -1 + k] - 
  152124607015664000000000*k^3*n^2*c[n, -1 + k] - 
  65787869037110400000000*k^4*n^2*c[n, -1 + k] + 
  27132082887110400000000*k^5*n^2*c[n, -1 + k] + 
  23873492129097600000000*k^6*n^2*c[n, -1 + k] + 
  2282939105270400000000*k^7*n^2*c[n, -1 + k] - 
  1410262474262400000000*k^8*n^2*c[n, -1 + k] - 
  266520459110400000000*k^9*n^2*c[n, -1 + k] + 40281692857286400000000*n^3*
   c[n, -1 + k] + 50177253988706400000000*k*n^3*c[n, -1 + k] - 
  27282974964624000000000*k^2*n^3*c[n, -1 + k] - 
  59188429397289600000000*k^3*n^3*c[n, -1 + k] - 
  18010247706705600000000*k^4*n^3*c[n, -1 + k] + 
  7846406841513600000000*k^5*n^3*c[n, -1 + k] + 
  4353222521649600000000*k^6*n^3*c[n, -1 + k] + 
  141685202656800000000*k^7*n^3*c[n, -1 + k] - 111219552576000000000*k^8*n^3*
   c[n, -1 + k] + 13290368841079200000000*n^4*c[n, -1 + k] + 
  11207726101382400000000*k*n^4*c[n, -1 + k] - 10990141116487200000000*k^2*
   n^4*c[n, -1 + k] - 12469242234780000000000*k^3*n^4*c[n, -1 + k] - 
  1773937226174400000000*k^4*n^4*c[n, -1 + k] + 
  1378085421384000000000*k^5*n^4*c[n, -1 + k] + 
  354854946837600000000*k^6*n^4*c[n, -1 + k] - 7897316486400000000*k^7*n^4*
   c[n, -1 + k] + 2701836554882400000000*n^5*c[n, -1 + k] + 
  1111082258260800000000*k*n^5*c[n, -1 + k] - 2347396333520400000000*k^2*n^5*
   c[n, -1 + k] - 1289056188135600000000*k^3*n^5*c[n, -1 + k] + 
  55021727077200000000*k^4*n^5*c[n, -1 + k] + 103404796506000000000*k^5*n^5*
   c[n, -1 + k] + 5574949934400000000*k^6*n^5*c[n, -1 + k] + 
  333184556109600000000*n^6*c[n, -1 + k] - 13271403933000000000*k*n^6*
   c[n, -1 + k] - 252943673173200000000*k^2*n^6*c[n, -1 + k] - 
  41366073756600000000*k^3*n^6*c[n, -1 + k] + 13987551322800000000*k^4*n^6*
   c[n, -1 + k] + 838338336000000000*k^5*n^6*c[n, -1 + k] + 
  22915406849400000000*n^7*c[n, -1 + k] - 11554993468350000000*k*n^7*
   c[n, -1 + k] - 10870770580200000000*k^2*n^7*c[n, -1 + k] + 
  1348470629550000000*k^3*n^7*c[n, -1 + k] + 675705835350000000*n^8*
   c[n, -1 + k] - 661315958550000000*k*n^8*c[n, -1 + k] - 
  905104392192000000000*k*c[n, k] - 1142822596608000000000*k^2*c[n, k] + 
  711473005056000000000*k^3*c[n, k] + 1309828836096000000000*k^4*c[n, k] + 
  312724591872000000000*k^5*c[n, k] - 187407627264000000000*k^6*c[n, k] - 
  95244374016000000000*k^7*c[n, k] - 6662912256000000000*k^8*c[n, k] + 
  2809002240000000000*k^9*c[n, k] + 406467072000000000*k^10*c[n, k] + 
  1314334973952000000000*k*n*c[n, k] + 6536580213504000000000*k^2*n*c[n, k] + 
  9674565512832000000000*k^3*n*c[n, k] + 5156662372224000000000*k^4*n*
   c[n, k] + 89923616640000000000*k^5*n*c[n, k] - 
  938496658176000000000*k^6*n*c[n, k] - 366528945024000000000*k^7*n*c[n, k] - 
  55624060800000000000*k^8*n*c[n, k] - 2946886272000000000*k^9*n*c[n, k] + 
  2903067298560000000000*k*n^2*c[n, k] + 8882519234688000000000*k^2*n^2*
   c[n, k] + 8993800540032000000000*k^3*n^2*c[n, k] + 
  2952378690624000000000*k^4*n^2*c[n, k] - 629648420544000000000*k^5*n^2*
   c[n, k] - 653182833600000000000*k^6*n^2*c[n, k] - 
  152033568192000000000*k^7*n^2*c[n, k] - 11719800576000000000*k^8*n^2*
   c[n, k] + 1961623243008000000000*k*n^3*c[n, k] + 
  4614524830080000000000*k^2*n^3*c[n, k] + 3367159367616000000000*k^3*n^3*
   c[n, k] + 511033910112000000000*k^4*n^3*c[n, k] - 
  369467619840000000000*k^5*n^3*c[n, k] - 153236974176000000000*k^6*n^3*
   c[n, k] - 16377235776000000000*k^7*n^3*c[n, k] + 
  689355912960000000000*k*n^4*c[n, k] + 1248848371584000000000*k^2*n^4*
   c[n, k] + 608632957152000000000*k^3*n^4*c[n, k] - 
  19281011904000000000*k^4*n^4*c[n, k] - 71586789120000000000*k^5*n^4*
   c[n, k] - 11711332512000000000*k^6*n^4*c[n, k] + 
  141509047680000000000*k*n^5*c[n, k] + 187872510672000000000*k^2*n^5*
   c[n, k] + 49102817544000000000*k^3*n^5*c[n, k] - 
  13315517424000000000*k^4*n^5*c[n, k] - 4621445928000000000*k^5*n^5*
   c[n, k] + 17170453872000000000*k*n^6*c[n, k] + 
  14953980888000000000*k^2*n^6*c[n, k] + 659931624000000000*k^3*n^6*c[n, k] - 
  961125264000000000*k^4*n^6*c[n, k] + 1145883024000000000*k*n^7*c[n, k] + 
  492879816000000000*k^2*n^7*c[n, k] - 82563624000000000*k^3*n^7*c[n, k] + 
  32525064000000000*k*n^8*c[n, k] + 967199475615645500917678080*
   c[2 + n, -28 + k] + 1182381431292293835304009728*k*c[2 + n, -28 + k] - 
  903814856722928864228696064*k^2*c[2 + n, -28 + k] - 
  1388300893215478606680109056*k^3*c[2 + n, -28 + k] - 
  141927563302366530201647616*k^4*c[2 + n, -28 + k] + 
  226880127827073162882399744*k^5*c[2 + n, -28 + k] + 
  59509876187013405557022720*k^6*c[2 + n, -28 + k] - 
  1226763137427683016379392*k^7*c[2 + n, -28 + k] - 
  757309103065754093597184*k^8*c[2 + n, -28 + k] + 
  58044441827184599858688*k^9*c[2 + n, -28 + k] - 
  1585034620266271527936*k^10*c[2 + n, -28 + k] + 
  15152034615230988288*k^11*c[2 + n, -28 + k] + 
  1122202785997654263075962880*n*c[2 + n, -28 + k] + 
  1273383337784672955555532800*k*n*c[2 + n, -28 + k] - 
  641862368542290666304041984*k^2*n*c[2 + n, -28 + k] - 
  871972821166852239193704960*k^3*n*c[2 + n, -28 + k] + 
  6257239117117812690831360*k^4*n*c[2 + n, -28 + k] + 
  107320341340176381847869696*k^5*n*c[2 + n, -28 + k] + 
  8312668876464982914673152*k^6*n*c[2 + n, -28 + k] - 
  1837590587155401817803264*k^7*n*c[2 + n, -28 + k] + 
  84175684179657765474816*k^8*n*c[2 + n, -28 + k] - 
  1361679445035636122880*k^9*n*c[2 + n, -28 + k] + 
  5267267507666976768*k^10*n*c[2 + n, -28 + k] + 
  524925382599227724614922240*n^2*c[2 + n, -28 + k] + 
  525856263843174115316221440*k*n^2*c[2 + n, -28 + k] - 
  190583428487161811824612224*k^2*n^2*c[2 + n, -28 + k] - 
  209980550264154889644206208*k^3*n^2*c[2 + n, -28 + k] + 
  19273498504092356337105408*k^4*n^2*c[2 + n, -28 + k] + 
  13693167060901528615309440*k^5*n^2*c[2 + n, -28 + k] - 
  932686656911269402139136*k^6*n^2*c[2 + n, -28 + k] - 
  6429220545211305693696*k^7*n^2*c[2 + n, -28 + k] + 
  1414646128897157033856*k^8*n^2*c[2 + n, -28 + k] - 
  22784215372321277952*k^9*n^2*c[2 + n, -28 + k] + 
  125921349980518077823219200*n^3*c[2 + n, -28 + k] + 
  105627856605184379780424576*k*n^3*c[2 + n, -28 + k] - 
  30268019181957047873170560*k^2*n^3*c[2 + n, -28 + k] - 
  23850113523810221765458368*k^3*n^3*c[2 + n, -28 + k] + 
  3326332750936327844328960*k^4*n^3*c[2 + n, -28 + k] + 
  306483579367321031173440*k^5*n^3*c[2 + n, -28 + k] - 
  42748420253565054727296*k^6*n^3*c[2 + n, -28 + k] + 
  1364378638816068074496*k^7*n^3*c[2 + n, -28 + k] - 
  12134545285563993600*k^8*n^3*c[2 + n, -28 + k] + 
  16172003869725009848855040*n^4*c[2 + n, -28 + k] + 
  10726924623762748600925568*k*n^4*c[2 + n, -28 + k] - 
  2541114889135008955247808*k^2*n^4*c[2 + n, -28 + k] - 
  1255935833143130597051808*k^3*n^4*c[2 + n, -28 + k] + 
  173236095863296576187328*k^4*n^4*c[2 + n, -28 + k] - 
  7069544316453081660192*k^5*n^4*c[2 + n, -28 + k] - 
  40763944660316213952*k^6*n^4*c[2 + n, -28 + k] + 
  4749051679628382720*k^7*n^4*c[2 + n, -28 + k] + 
  1038379308228317035169280*n^5*c[2 + n, -28 + k] + 
  524731291141107042470016*k*n^5*c[2 + n, -28 + k] - 
  89765889789533133699072*k^2*n^5*c[2 + n, -28 + k] - 
  28257565183272698459184*k^3*n^5*c[2 + n, -28 + k] + 
  2694211601826579236064*k^4*n^5*c[2 + n, -28 + k] - 
  132727973112045934128*k^5*n^5*c[2 + n, -28 + k] + 
  2704432102161812352*k^6*n^5*c[2 + n, -28 + k] + 
  26060902868740839765120*n^6*c[2 + n, -28 + k] + 
  11845203981374244678336*k*n^6*c[2 + n, -28 + k] - 
  914872614509241667800*k^2*n^6*c[2 + n, -28 + k] - 
  242866470215262658608*k^3*n^6*c[2 + n, -28 + k] + 
  9258737032736151048*k^4*n^6*c[2 + n, -28 + k] + 
  105541282331828048160*n^7*c[2 + n, -28 + k] + 
  103589531750591251560*k*n^7*c[2 + n, -28 + k] + 
  876783318691059000*k^2*n^7*c[2 + n, -28 + k] - 
  168251015543101920*k^3*n^7*c[2 + n, -28 + k] - 
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  239233050768036164400000*k^6*n^4*c[2 + n, -4 + k] - 
  98638802935652628000000*k^7*n^4*c[2 + n, -4 + k] + 
  7262447884449743232000000*n^5*c[2 + n, -4 + k] + 
  10596526168867461050400000*k*n^5*c[2 + n, -4 + k] + 
  3543382033321953988800000*k^2*n^5*c[2 + n, -4 + k] - 
  1348582278809601081000000*k^3*n^5*c[2 + n, -4 + k] - 
  550571580577610692200000*k^4*n^5*c[2 + n, -4 + k] + 
  91638170264944096200000*k^5*n^5*c[2 + n, -4 + k] - 
  18244066802199183000000*k^6*n^5*c[2 + n, -4 + k] + 
  1220071580343821275200000*n^6*c[2 + n, -4 + k] + 
  1334138529521616944400000*k*n^6*c[2 + n, -4 + k] + 
  240464961660368374200000*k^2*n^6*c[2 + n, -4 + k] - 
  128683143372817972800000*k^3*n^6*c[2 + n, -4 + k] - 
  16205321044973946600000*k^4*n^6*c[2 + n, -4 + k] + 
  55346588858880000000*k^5*n^6*c[2 + n, -4 + k] + 
  110271501870352617600000*n^7*c[2 + n, -4 + k] + 
  82077972599987209800000*k*n^7*c[2 + n, -4 + k] + 
  4493792731320446400000*k^2*n^7*c[2 + n, -4 + k] - 
  4241482670938213800000*k^3*n^7*c[2 + n, -4 + k] + 
  4148405835027924600000*n^8*c[2 + n, -4 + k] + 
  1662297972741361800000*k*n^8*c[2 + n, -4 + k] + 
  4916416970603593728000000*c[2 + n, -3 + k] + 8770951680910669824000000*k*
   c[2 + n, -3 + k] - 2374178352404497920000000*k^2*c[2 + n, -3 + k] - 
  10565894268032988288000000*k^3*c[2 + n, -3 + k] - 
  3342639227569557696000000*k^4*c[2 + n, -3 + k] + 
  1733152388588701440000000*k^5*c[2 + n, -3 + k] + 
  808032677747088960000000*k^6*c[2 + n, -3 + k] + 
  57021912948953088000000*k^7*c[2 + n, -3 + k] + 
  10494927185208768000000*k^8*c[2 + n, -3 + k] - 
  6101819773588224000000*k^9*c[2 + n, -3 + k] - 
  6305991030123840000000*k^10*c[2 + n, -3 + k] - 
  950899173459840000000*k^11*c[2 + n, -3 + k] + 
  10560076140980201472000000*n*c[2 + n, -3 + k] + 
  14753102861683913216000000*k*n*c[2 + n, -3 + k] - 
  7575825268626226496000000*k^2*n*c[2 + n, -3 + k] - 
  15379281735942212576000000*k^3*n*c[2 + n, -3 + k] - 
  1452578867732505184000000*k^4*n*c[2 + n, -3 + k] + 
  3134327948458715232000000*k^5*n*c[2 + n, -3 + k] + 
  697762402726316832000000*k^6*n*c[2 + n, -3 + k] - 
  96789304223640864000000*k^7*n*c[2 + n, -3 + k] - 
  40038210552612384000000*k^8*n*c[2 + n, -3 + k] - 
  11406303947811168000000*k^9*n*c[2 + n, -3 + k] - 
  2026059494294880000000*k^10*n*c[2 + n, -3 + k] + 
  9758171298276683776000000*n^2*c[2 + n, -3 + k] + 
  10402278721927826240000000*k*n^2*c[2 + n, -3 + k] - 
  7507360855318455520000000*k^2*n^2*c[2 + n, -3 + k] - 
  8293442968250318768000000*k^3*n^2*c[2 + n, -3 + k] + 
  1151723429371645776000000*k^4*n^2*c[2 + n, -3 + k] + 
  1666142934346219824000000*k^5*n^2*c[2 + n, -3 + k] + 
  44497034114644800000000*k^6*n^2*c[2 + n, -3 + k] - 
  93177703521380880000000*k^7*n^2*c[2 + n, -3 + k] - 
  14602958911324080000000*k^8*n^2*c[2 + n, -3 + k] - 
  1515551085267120000000*k^9*n^2*c[2 + n, -3 + k] + 
  5100629752897241472000000*n^3*c[2 + n, -3 + k] + 
  4012133350683553776000000*k*n^3*c[2 + n, -3 + k] - 
  3542760342526450320000000*k^2*n^3*c[2 + n, -3 + k] - 
  2019339187500154680000000*k^3*n^3*c[2 + n, -3 + k] + 
  839624556798901656000000*k^4*n^3*c[2 + n, -3 + k] + 
  304566711954094800000000*k^5*n^3*c[2 + n, -3 + k] - 
  59099142516365520000000*k^6*n^3*c[2 + n, -3 + k] - 
  15873794906399496000000*k^7*n^3*c[2 + n, -3 + k] - 
  406706587661880000000*k^8*n^3*c[2 + n, -3 + k] + 
  1659096303698742480000000*n^4*c[2 + n, -3 + k] + 
  910657702942632864000000*k*n^4*c[2 + n, -3 + k] - 
  921273250632400872000000*k^2*n^4*c[2 + n, -3 + k] - 
  194921862075037548000000*k^3*n^4*c[2 + n, -3 + k] + 
  179614284463240272000000*k^4*n^4*c[2 + n, -3 + k] + 
  6072239410758216000000*k^5*n^4*c[2 + n, -3 + k] - 
  9381723788179512000000*k^6*n^4*c[2 + n, -3 + k] + 
  17995957370820000000*k^7*n^4*c[2 + n, -3 + k] + 
  344972776104831888000000*n^5*c[2 + n, -3 + k] + 
  116560117207262736000000*k*n^5*c[2 + n, -3 + k] - 
  138634568888532912000000*k^2*n^5*c[2 + n, -3 + k] + 
  3297245855109408000000*k^3*n^5*c[2 + n, -3 + k] + 
  13500272944196100000000*k^4*n^5*c[2 + n, -3 + k] - 
  2057010720935544000000*k^5*n^5*c[2 + n, -3 + k] + 
  18616377136500000000*k^6*n^5*c[2 + n, -3 + k] + 
  44799360544386864000000*n^6*c[2 + n, -3 + k] + 
  6129860325040584000000*k*n^6*c[2 + n, -3 + k] - 
  11685498956154504000000*k^2*n^6*c[2 + n, -3 + k] + 
  1719539194315932000000*k^3*n^6*c[2 + n, -3 + k] + 
  146641870787148000000*k^4*n^6*c[2 + n, -3 + k] + 
  236258985600000000*k^5*n^6*c[2 + n, -3 + k] + 
  3317275146809988000000*n^7*c[2 + n, -3 + k] - 
  228530988557019000000*k*n^7*c[2 + n, -3 + k] - 
  441051572356362000000*k^2*n^7*c[2 + n, -3 + k] + 
  78472820569869000000*k^3*n^7*c[2 + n, -3 + k] + 
  106971573918807000000*n^8*c[2 + n, -3 + k] - 30950199993609000000*k*n^8*
   c[2 + n, -3 + k] - 2283935367168000000000*c[2 + n, -2 + k] - 
  16532186392166400000000*k*c[2 + n, -2 + k] - 27262102356787200000000*k^2*
   c[2 + n, -2 + k] + 4199952219801600000000*k^3*c[2 + n, -2 + k] + 
  38136479531366400000000*k^4*c[2 + n, -2 + k] + 
  19627655680089600000000*k^5*c[2 + n, -2 + k] - 
  7746162624345600000000*k^6*c[2 + n, -2 + k] - 
  8132405396889600000000*k^7*c[2 + n, -2 + k] - 
  990148095360000000000*k^8*c[2 + n, -2 + k] + 716213173593600000000*k^9*
   c[2 + n, -2 + k] + 244209419942400000000*k^10*c[2 + n, -2 + k] + 
  22430207923200000000*k^11*c[2 + n, -2 + k] - 5434994648678400000000*n*
   c[2 + n, -2 + k] - 30353223397785600000000*k*n*c[2 + n, -2 + k] - 
  44564807097216000000000*k^2*n*c[2 + n, -2 + k] + 
  1512926742604800000000*k^3*n*c[2 + n, -2 + k] + 
  40000527506246400000000*k^4*n*c[2 + n, -2 + k] + 
  14357418365088000000000*k^5*n*c[2 + n, -2 + k] - 
  9284768714131200000000*k^6*n*c[2 + n, -2 + k] - 
  5174772350400000000000*k^7*n*c[2 + n, -2 + k] + 
  242300338848000000000*k^8*n*c[2 + n, -2 + k] + 
  472538653804800000000*k^9*n*c[2 + n, -2 + k] + 
  63823798368000000000*k^10*n*c[2 + n, -2 + k] - 
  5454034056806400000000*n^2*c[2 + n, -2 + k] - 
  23436965894937600000000*k*n^2*c[2 + n, -2 + k] - 
  29669342256460800000000*k^2*n^2*c[2 + n, -2 + k] - 
  618360904723200000000*k^3*n^2*c[2 + n, -2 + k] + 
  17254594671379200000000*k^4*n^2*c[2 + n, -2 + k] + 
  3665325356092800000000*k^5*n^2*c[2 + n, -2 + k] - 
  3659385069417600000000*k^6*n^2*c[2 + n, -2 + k] - 
  933318747561600000000*k^7*n^2*c[2 + n, -2 + k] + 
  250736218761600000000*k^8*n^2*c[2 + n, -2 + k] + 
  68008715596800000000*k^9*n^2*c[2 + n, -2 + k] - 
  3034019325542400000000*n^3*c[2 + n, -2 + k] - 
  9848774903270400000000*k*n^3*c[2 + n, -2 + k] - 
  10322641348243200000000*k^2*n^3*c[2 + n, -2 + k] - 
  320681052374400000000*k^3*n^3*c[2 + n, -2 + k] + 
  3918219161270400000000*k^4*n^3*c[2 + n, -2 + k] + 
  331624818878400000000*k^5*n^3*c[2 + n, -2 + k] - 
  593156830521600000000*k^6*n^3*c[2 + n, -2 + k] - 
  15480377985600000000*k^7*n^3*c[2 + n, -2 + k] + 
  32172715555200000000*k^8*n^3*c[2 + n, -2 + k] - 
  1027936501862400000000*n^4*c[2 + n, -2 + k] - 
  2421957750739200000000*k*n^4*c[2 + n, -2 + k] - 
  1983829634308800000000*k^2*n^4*c[2 + n, -2 + k] - 
  25997942217600000000*k^3*n^4*c[2 + n, -2 + k] + 
  487173864700800000000*k^4*n^4*c[2 + n, -2 + k] - 
  5967310176000000000*k^5*n^4*c[2 + n, -2 + k] - 
  33898789267200000000*k^6*n^4*c[2 + n, -2 + k] + 
  5789191953600000000*k^7*n^4*c[2 + n, -2 + k] - 
  217913096793600000000*n^5*c[2 + n, -2 + k] - 344359757073600000000*k*n^5*
   c[2 + n, -2 + k] - 200057594752800000000*k^2*n^5*c[2 + n, -2 + k] + 
  2916921067200000000*k^3*n^5*c[2 + n, -2 + k] + 
  29851599675600000000*k^4*n^5*c[2 + n, -2 + k] - 
  1844440567200000000*k^5*n^5*c[2 + n, -2 + k] + 
  64463137200000000*k^6*n^5*c[2 + n, -2 + k] - 28297179705600000000*n^6*
   c[2 + n, -2 + k] - 25119903837600000000*k*n^6*c[2 + n, -2 + k] - 
  8289905374800000000*k^2*n^6*c[2 + n, -2 + k] - 
  4882842000000000*k^3*n^6*c[2 + n, -2 + k] + 581262026400000000*k^4*n^6*
   c[2 + n, -2 + k] - 2061861609600000000*n^7*c[2 + n, -2 + k] - 
  531036550800000000*k*n^7*c[2 + n, -2 + k] - 1118431800000000*k^2*n^7*
   c[2 + n, -2 + k] - 53315123400000000*k^3*n^7*c[2 + n, -2 + k] - 
  64640721600000000*n^8*c[2 + n, -2 + k] + 21002927400000000*k*n^8*
   c[2 + n, -2 + k] - 130956544851765716406435840*c[4 + n, -27 + k] - 
  157951464522795333317652480*k*c[4 + n, -27 + k] + 
  123643012451892204690800640*k^2*c[4 + n, -27 + k] + 
  185381307696506961286114560*k^3*c[4 + n, -27 + k] + 
  17888712982244086370088960*k^4*c[4 + n, -27 + k] - 
  30458236569501695463694080*k^5*c[4 + n, -27 + k] - 
  7835737455584536088263680*k^6*c[4 + n, -27 + k] + 
  195266643542878466200320*k^7*c[4 + n, -27 + k] + 
  101524555841147552010240*k^8*c[4 + n, -27 + k] - 
  8064681635190725233920*k^9*c[4 + n, -27 + k] + 
  225960590887719367680*k^10*c[4 + n, -27 + k] - 
  2209335694083302400*k^11*c[4 + n, -27 + k] - 149768041375082398418841600*n*
   c[4 + n, -27 + k] - 165435688424317995971965440*k*n*c[4 + n, -27 + k] + 
  89702765469859455778919040*k^2*n*c[4 + n, -27 + k] + 
  114428465164134353417552640*k^3*n*c[4 + n, -27 + k] - 
  2248101020558351094071040*k^4*n*c[4 + n, -27 + k] - 
  14192978331150444446167680*k^5*n*c[4 + n, -27 + k] - 
  972058277130983945884800*k^6*n*c[4 + n, -27 + k] + 
  252874827424096211819520*k^7*n*c[4 + n, -27 + k] - 
  12853669571004921523200*k^8*n*c[4 + n, -27 + k] + 
  242518676042282935680*k^9*n*c[4 + n, -27 + k] - 
  1384825053876929280*k^10*n*c[4 + n, -27 + k] - 
  68932400805399311708935680*n^2*c[4 + n, -27 + k] - 
  66370416638907800003437440*k*n^2*c[4 + n, -27 + k] + 
  26938977409822401214421760*k^2*n^2*c[4 + n, -27 + k] + 
  26600002072902910616811840*k^3*n^2*c[4 + n, -27 + k] - 
  2965524817683911058213120*k^4*n^2*c[4 + n, -27 + k] - 
  1706839216584033140622720*k^5*n^2*c[4 + n, -27 + k] + 
  145724845105270907118720*k^6*n^2*c[4 + n, -27 + k] - 
  1529141117346394977600*k^7*n^2*c[4 + n, -27 + k] - 
  116560232590954965120*k^8*n^2*c[4 + n, -27 + k] + 
  2358444852144057600*k^9*n^2*c[4 + n, -27 + k] - 
  16204113520479899405314560*n^3*c[4 + n, -27 + k] - 
  12867665595008391444674880*k*n^3*c[4 + n, -27 + k] + 
  4216804002615773245279680*k^2*n^3*c[4 + n, -27 + k] + 
  2831310152481768412603680*k^3*n^3*c[4 + n, -27 + k] - 
  460974121959969420737760*k^4*n^3*c[4 + n, -27 + k] - 
  23313282869862772204320*k^5*n^3*c[4 + n, -27 + k] + 
  4552811362786099926240*k^6*n^3*c[4 + n, -27 + k] - 
  160597274098150169280*k^7*n^3*c[4 + n, -27 + k] + 
  1547690056801035840*k^8*n^3*c[4 + n, -27 + k] - 
  2021503341376373626175040*n^4*c[4 + n, -27 + k] - 
  1243346725190440466769600*k*n^4*c[4 + n, -27 + k] + 
  334036614827749399977600*k^2*n^4*c[4 + n, -27 + k] + 
  134127949134362112538560*k^3*n^4*c[4 + n, -27 + k] - 
  20098363935991067586720*k^4*n^4*c[4 + n, -27 + k] + 
  957057490869769860480*k^5*n^4*c[4 + n, -27 + k] - 
  3036638551237996320*k^6*n^4*c[4 + n, -27 + k] - 
  451527732155808000*k^7*n^4*c[4 + n, -27 + k] - 
  123513628847210614172160*n^5*c[4 + n, -27 + k] - 
  56603816059790636673120*k*n^5*c[4 + n, -27 + k] + 
  10264985888620915557000*k^2*n^5*c[4 + n, -27 + k] + 
  2852054697031312774680*k^3*n^5*c[4 + n, -27 + k] - 
  284948551065963886920*k^4*n^5*c[4 + n, -27 + k] + 
  14344984740620457000*k^5*n^5*c[4 + n, -27 + k] - 
  300370948332950880*k^6*n^5*c[4 + n, -27 + k] - 
  2777717287236182316480*n^6*c[4 + n, -27 + k] - 
  1216927324834151361480*k*n^6*c[4 + n, -27 + k] + 
  94541092815178170000*k^2*n^6*c[4 + n, -27 + k] + 
  23822772048376814520*k^3*n^6*c[4 + n, -27 + k] - 
  944957810618125920*k^4*n^6*c[4 + n, -27 + k] - 
  9023175987450861600*n^7*c[4 + n, -27 + k] - 10298043722315070540*k*n^7*
   c[4 + n, -27 + k] - 95619328374187800*k^2*n^7*c[4 + n, -27 + k] + 
  18126141689515860*k^3*n^7*c[4 + n, -27 + k] + 
  192796234333941420*n^8*c[4 + n, -27 + k] - 7140601271627460*k*n^8*
   c[4 + n, -27 + k] - 540931456880286624869842944*c[4 + n, -26 + k] - 
  833647224285476680359555072*k*c[4 + n, -26 + k] + 
  425053665555262896407072256*k^2*c[4 + n, -26 + k] + 
  995765017877025726548886912*k^3*c[4 + n, -26 + k] + 
  158728947382405682987322816*k^4*c[4 + n, -26 + k] - 
  158528605204539815307777792*k^5*c[4 + n, -26 + k] - 
  47163850017517919875915584*k^6*c[4 + n, -26 + k] + 
  186869044127904632923392*k^7*c[4 + n, -26 + k] + 
  571984587866467831480128*k^8*c[4 + n, -26 + k] - 
  36134858952354996516096*k^9*c[4 + n, -26 + k] + 
  792315285452355728448*k^10*c[4 + n, -26 + k] - 
  5515200735353806464*k^11*c[4 + n, -26 + k] - 780157134956783720348319744*n*
   c[4 + n, -26 + k] - 1273621190180742720732789504*k*n*c[4 + n, -26 + k] + 
  86923391693056241020480512*k^2*n*c[4 + n, -26 + k] + 
  737593252919840971230371136*k^3*n*c[4 + n, -26 + k] + 
  89726529474415641311077248*k^4*n*c[4 + n, -26 + k] - 
  81460225792109893248426816*k^5*n*c[4 + n, -26 + k] - 
  12020576377149907091518752*k^6*n*c[4 + n, -26 + k] + 
  1161965910145064123554560*k^7*n*c[4 + n, -26 + k] + 
  10743094621392976550016*k^8*n*c[4 + n, -26 + k] - 
  2381688167713624129536*k^9*n*c[4 + n, -26 + k] + 
  42359375149262959392*k^10*n*c[4 + n, -26 + k] - 
  437750792898292252604429568*n^2*c[4 + n, -26 + k] - 
  672629880318399084298911264*k*n^2*c[4 + n, -26 + k] - 
  19764441960131112480471024*k^2*n^2*c[4 + n, -26 + k] + 
  241162959587268033127126656*k^3*n^2*c[4 + n, -26 + k] + 
  15780334712115357189984240*k^4*n^2*c[4 + n, -26 + k] - 
  15899408061796529618895072*k^5*n^2*c[4 + n, -26 + k] - 
  325498143423881983949712*k^6*n^2*c[4 + n, -26 + k] + 
  142419114036958848689088*k^7*n^2*c[4 + n, -26 + k] - 
  5966959038375476536560*k^8*n^2*c[4 + n, -26 + k] + 
  69914289030728408640*k^9*n^2*c[4 + n, -26 + k] - 
  124956294927933621880641888*n^3*c[4 + n, -26 + k] - 
  168205919916626008749549072*k*n^3*c[4 + n, -26 + k] - 
  1608511285834680686242176*k^2*n^3*c[4 + n, -26 + k] + 
  41018651039367620343732240*k^3*n^3*c[4 + n, -26 + k] - 
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   c[6 + n, -5 + k] - 23842068949440000000*k^2*n^5*c[6 + n, -5 + k] + 
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   c[6 + n, -5 + k] + 3931438680000000*k*n^8*c[6 + n, -5 + k] - 
  503403201750590668800000*c[8 + n, -24 + k] - 682250684419031067648000*k*
   c[8 + n, -24 + k] + 430330059879611738112000*k^2*c[8 + n, -24 + k] + 
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   c[8 + n, -24 + k] - 894344637705171949900800*k*n*c[8 + n, -24 + k] + 
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   c[8 + n, -24 + k] - 452437724907092519481600*k*n^2*c[8 + n, -24 + k] + 
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   c[8 + n, -24 + k] - 115927748777056062268800*k*n^3*c[8 + n, -24 + k] + 
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   c[8 + n, -7 + k]}
