A021734 Expansion of 1/((1-x)(1-3x)(1-11x)(1-12x)).

1, 27, 502, 8022, 118363, 1663809, 22644784, 301210524, 3938740405, 50831269671, 649205557546, 8222000492706, 103410878533327, 1293146143620813, 16092125344053988, 199423591976817768

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (27,-227,597,-396).

Formula

G.f.: 1/((1-x)*(1-3x)*(1-11x)*(1-12x)).

a(n) = (80*12^(n+3) - 9*11^(n+4) + 55*3^(n+3) - 36)/7920. - Yahia Kahloune, Jun 27 2013

a(n) = 27*a(n-1) - 227*a(n-2) + 597*a(n-3) - 396*a(n-4). - Wesley Ivan Hurt, May 26 2024

Mathematica

CoefficientList[Series[1/((1-x)(1-3x)(1-11x)(1-12x)), {x, 0, 20}], x]  (* Harvey P. Dale, Mar 19 2011 *)

Prog

(PARI) a(n)=n+=3; (80*12^n-99*11^n+55*3^n-36)/7920 \\ Charles R Greathouse IV, Jun 27 2013

Crossrefs

Sequence in context: A020724 A021994 A020568 * A019752 A001709 A016887

Adjacent sequences: A021731 A021732 A021733 * A021735 A021736 A021737

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved