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a(n) = (13230+75008*n^2+65184*n-778248135*49^n+30720*n^3+ 502211745*81^n+ 295312500*25^n-26034048*9^n*n^2-43600032*9^n*n-395300640*49^n*n-19289340*9^n+ 4096*n^4+ 352500000*25^n*n+90000000*25^n*n^2-4478976*9^n*n^3)/98304
a(n)= 295*a(n-1)-36729*a(n-2)+2549775*a(n-3)-109746165*a(n-4)+3080128275*a(n-5)-57713313405*a(n-6)+727045264875*a(n-7)-6122436806115*a(n-8)+33837597147925*a(n-9)-119061300168619*a(n-10)+257794693911405*a(n-11)-339251103039591*a(n-12)+264193039731825*a(n-13)-112000136889375*a(n-14)+19937341265625*a(n-15)
GF(z) = (7936+1305088*z-79792256*z^2-109331968*z^3+41828672000*z^4-460917924352*z^5+238697445120*z^6+5066784271872*z^7-14723693948160*z^8+12172737024000*z^9+8101522800000*z^10)/(1-z)^5/(1-9*z)^4/(1-25*z)^3/(1-49*z)^2/(1-81*z)
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