A026241 Expansion of 1/((1-2x)(1-5x)(1-10x)(1-12x)).

1, 29, 557, 8977, 131685, 1825017, 24374173, 317359889, 4057667669, 51188756905, 639248806989, 7920904304001, 97550444747653, 1195603302467993, 14597229457092605, 177666702622486513

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..925

Index entries for linear recurrences with constant coefficients, signature (29,-284,1060,-1200).

Formula

a(n) = -2^n/30 +25*5^n/21 -25*10^n/2 +432*12^n/35. R. J. Mathar, Jun 23 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-10x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{29, -284, 1060, -1200}, {1, 29, 557, 8977}, 30] (* Harvey P. Dale, May 07 2022 *)

Crossrefs

Sequence in context: A024772 A028051 A024444 * A024443 A024435 A020979

Adjacent sequences: A026238 A026239 A026240 * A026242 A026243 A026244

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved