A026149 Expansion of 1/((1-2x)(1-5x)(1-10x)(1-11x)).

1, 28, 517, 7980, 111741, 1473948, 18687397, 230431180, 2784091981, 33121756668, 389323047477, 4532472142380, 52356786665821, 600922618820188, 6860138634498757, 77961474116861580, 882575960972337261

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (28,-267,980,-1100).

Formula

a(n) = -2^n/27 + 25*5^n/18 - 25*10^n + 1331*11^n/54. - R. J. Mathar, Jun 23 2013

Mathematica

Table[SeriesCoefficient[1/((1 - 2x)(1 - 5x)(1 - 10x)(1 - 11x)), {x, 0, n}], {n, 0, 19}] (* Alonso del Arte, Jul 05 2019 *)
LinearRecurrence[{28, -267, 980, -1100}, {1, 28, 517, 7980}, 20] (* Harvey P. Dale, Oct 28 2022 *)

Crossrefs

Sequence in context: A024771 A028050 A026738 * A028049 A283244 A024442

Adjacent sequences: A026146 A026147 A026148 * A026150 A026151 A026152

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved