A028051 Expansion of 1/((1-3x)(1-4x)(1-10x)(1-12x)).

1, 29, 555, 8905, 130091, 1796769, 23932195, 310954985, 3969388731, 50012943409, 623962124435, 7725629774265, 95088465616171, 1164870934296449, 14216545739974275, 172979498415780745

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29, -286, 1104, -1440).

Formula

a(0)=1, a(1)=29, a(2)=555, a(3)=8905, a(n)=29*a(n-1)-286*a(n-2)+ 1104*a(n-3)- 1440*a(n-4). [Harvey P. Dale, Dec 31 2011]

a(n)=(7*12^(n+3)-12*10^(n+3)+21*4^(n+3)-16*3^(n+3))/1008. [Yahia Kahloune, May 27 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-10x)(1-12x)), {x, 0, 30}], x]  (* or *) LinearRecurrence[{29, -286, 1104, -1440}, {1, 29, 555, 8905}, 30] (* Harvey P. Dale, Dec 31 2011 *)

Crossrefs

Sequence in context: A042628 A028001 A024772 * A024444 A026241 A024443

Adjacent sequences: A028048 A028049 A028050 * A028052 A028053 A028054

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved