A162009 Fourth right hand column of the EG1 triangle A162005.

272, 52736, 4766048, 319830400, 18598875760, 1002968825344, 51882638754240, 2621627565515520, 130715075544000720, 6468157990602644480, 318685706549526508832, 15663443488266952501376, 768809642314801857986608

Offset: 1

Author

Johannes W. Meijer, Jun 27 2009

Keywords

• easy
• nonn

Crossrefs

Fourth right hand column of the EG1 triangle A162005.

Other right hand columns are A004004 (2x), A162008 and A162010.

Cf. A162011 and A162014.

Formula

a(n) = (252105*49^n-525+76545*9^n-328125*25^n-225000*25^n*n-2320*n+134136*9^n*n-2112*n^2+46656*9^n*n^2-512*n^3)/3072

a(n) = 130*a(n-1)-6501*a(n-2)+163160*a(n-3)-2236466*a(n-4)[phone]*a(n-5)-71497186*a(n-6)[phone]*a(n-7)-174334221*a(n-8)[phone]*a(n-9)-22325625*a(n-10)

GF(z) = (272+17376*z-321360*z^2-1298624*z^3+8914800*z^4-11262240*z^5-10206000*z^6)/((1-z)^4*(1-9*z)^3*(1-25*z)^2*(1-49*z))