A162009 Fourth right hand column of the EG1 triangle A162005

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

Offset

1,1

Links

Table of n, a(n) for n=1..13.

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)+17123340*a(n-5)-71497186*a(n-6)+154127320*a(n-7)-174334221*a(n-8)+98986050*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))

Crossrefs

Fourth right hand column of the EG1 triangle A162005.

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

Cf. A162011 and A162014.

Sequence in context: A230531 A283230 A280044 * A283789 A331655 A225833

Adjacent sequences: A162006 A162007 A162008 * A162010 A162011 A162012

Keyword

easy,nonn

Author

Johannes W. Meijer, Jun 27 2009

Status

approved