A028042 Expansion of 1/((1-3x)(1-4x)(1-7x)(1-12x)).

1, 26, 447, 6484, 86429, 1100862, 13670539, 167326808, 2031126537, 24536941858, 295591283351, 3555147513372, 42718200467125, 513013681404614, 6158932166842083, 73926566183932576, 887254472530712993

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (26, -229, 816, -1008).

Formula

a(n)=(12^(n+3)-6*7^(n+3)+15*4^(n+3)-10*3^(n+3))/360. [Yahia Kahloune, Jun 07 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-12x)), {x, 0, 20}], x]  (* Harvey P. Dale, Feb 22 2011 *)

Crossrefs

Sequence in context: A028058 A331881 A024170 * A023956 A025981 A025996

Adjacent sequences: A028039 A028040 A028041 * A028043 A028044 A028045

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved