5000*n^3*(1 + n)^2*(2705080 + 3705334*n + 1884813*n^2 + 421590*n^3 + 
   34983*n^4)*f[n] - (1 + n)^2*(80002536960 + 282970075928*n + 
   419513920838*n^2 + 336913540787*n^3 + 157966380629*n^4 + 43209464103*n^5 + 
   6386508141*n^6 + 393838614*n^7)*f[1 + n] + 
 2*(2 + n)*(143370725280 + 500351938492*n + 754347770562*n^2 + 
   641533683089*n^3 + 336615221259*n^4 + 111598441908*n^5 + 22832348490*n^6 + 
   2636030943*n^7 + 131501097*n^8)*f[2 + n] - 
 (3 + n)^2*(26836974336 + 80191745800*n + 100381179794*n^2 + 
   68241867501*n^3 + 27241278065*n^4 + 6394670745*n^5 + 818592333*n^6 + 
   44148546*n^7)*f[3 + n] + 2*(3 + n)^2*(4 + n)^3*
  (497952 + 1060546*n + 829941*n^2 + 281658*n^3 + 34983*n^4)*f[4 + n]
