A028141 Expansion of 1/((1-4x)(1-6x)(1-9x)(1-12x)).

1, 31, 619, 10171, 150115, 2075227, 27499123, 354164107, 4472448739, 55701408763, 686884421587, 8409900709483, 102430894160323, 1242818548606939, 15036887507052211, 181551642806017099

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31, -342, 1584, -2592).

Formula

a(n)=(5*12^(n+3)-16*9^(n+3)+20*6^(n+3)-9*4^(n+3))/720. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-6x)(1-9x)(1-12x)), {x, 0, 25}], x]  (* Harvey P. Dale, Mar 15 2011 *)

Crossrefs

Sequence in context: A028148 A028100 A242517 * A302857 A028096 A042864

Adjacent sequences: A028138 A028139 A028140 * A028142 A028143 A028144

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved