A162010 Fifth right hand column of the EG1 triangle A162005.

7936, 3646208, 704357760, 93989648000, 10324483102720, 1013356176688128, 92857038223998720, 8148225153293502720, 695389790665420312320, 58282750219059501633280, 4827428305286309709508736

Offset: 1

Author

Johannes W. Meijer, Jun 27 2009

Keywords

• easy
• nonn

Crossrefs

Fifth right hand column of the EG1 triangle A162005.

Other right hand columns are A004004 (2x), A162008 and A162009.

Cf. A162011 and A162014.

Formula

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)[phone]*a(n-5)-57713313405*a(n-6)[phone]*a(n-7)-6122436806115*a(n-8)[phone]*a(n-9)-119061300168619*a(n-10)[phone]*a(n-11)-339251103039591*a(n-12)[phone]*a(n-13)-112000136889375*a(n-14)[phone]*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)