A028221 Expansion of 1/((1-7x)(1-8x)(1-9x)(1-12x)).

1, 36, 817, 14964, 241969, 3609732, 50945329, 691013268, 9103047217, 117325825188, 1487325837361, 18617531653812, 230789841098545, 2839613067896004, 34737008397752113, 423047207066166996

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (36,-479,2796,-6048).

Formula

a(n)=(12^(n+3)-10*9^(n+3)+15*8^(n+3)-6*7^(n+3))/60. [Yahia Kahloune, Jun 12 2013]

a(0)=1, a(1)=36, a(2)=817, a(3)=14964, a(n)=36*a(n-1)-479*a(n-2)+ 2796*a(n-3)- 6048*a(n-4). - Harvey P. Dale, Apr 28 2015

Mathematica

CoefficientList[Series[1/((1-7x)(1-8x)(1-9x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -479, 2796, -6048}, {1, 36, 817, 14964}, 30] (* Harvey P. Dale, Apr 28 2015 *)

Crossrefs

Sequence in context: A173187 A028222 A028216 * A000597 A028214 A028197

Adjacent sequences: A028218 A028219 A028220 * A028222 A028223 A028224

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved