A028151 Expansion of 1/((1-4x)(1-7x)(1-9x)(1-12x)).

1, 32, 657, 11056, 166481, 2339904, 31427089, 409158992, 5211577041, 65347755616, 810110258321, 9959365988208, 121687051820881, 1480042546391168, 17940274040148753, 216912236044745104, 2617684898381621201, 31545404154807718560, 379747317765849488785

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (32, -367, 1776, -3024).

Formula

a(n) = (12^(n+3)-4*9^(n+3)+4*7^(n+3)-4^(n+3))/120. - Yahia Kahloune, Jun 11 2013

Mathematica

CoefficientList[Series[1/((1-4x)(1-7x)(1-9x)(1-12x)), {x, 0, 20}], x] (* Harvey P. Dale, Mar 24 2011 *)

Crossrefs

Sequence in context: A080480 A028152 A028176 * A160270 A028102 A028143

Adjacent sequences: A028148 A028149 A028150 * A028152 A028153 A028154

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved