A028031 Expansion of 1/((1-3x)(1-4x)(1-5x)(1-12x)).

1, 24, 385, 5280, 67441, 833064, 10129825, 122282160, 1471249681, 17675304504, 212209212865, 2547054594240, 30567440844721, 366823482358344, 4401953808801505, 52823810060045520, 633887559543412561

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (24, -191, 624, -720).

Formula

a(0)=1, a(1)=24, a(2)=385, a(3)=5280, a(n)=24*a(n-1)-191*a(n-2)+ 624*a(n-3)- 720*a(n-4). [Harvey P. Dale, Jul 15 2012]

a(n)=(12^(n+3)-36*5^(n+3)+63*4^(n+3)-28*3^(n+3))/504. [Yahia Kahloune, May 30 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-5x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -191, 624, -720}, {1, 24, 385, 5280}, 30] (* Harvey P. Dale, Jul 15 2012 *)

Crossrefs

Sequence in context: A114631 A020782 A025952 * A042108 A022455 A021954

Adjacent sequences: A028028 A028029 A028030 * A028032 A028033 A028034

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved