A021954 Expansion of 1/((1-x)(1-4x)(1-9x)(1-10x)).

1, 24, 387, 5278, 65793, 776412, 8835919, 98027226, 1067371965, 11457966520, 121639285131, 1279935023094, 13371252146617, 138859728185748, 1434922500247623, 14766153399643282, 151413895297559349

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (24, -189, 526, -360).

Formula

a(n) = (2*10^(n+4) - 3*9^(n+4) + 3*4^(n+4) - 5)/1080. - Yahia Kahloune, Jul 05 2013

Mathematica

CoefficientList[Series[1 / ((1 - x) (1 - 4 x) (1 - 9 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)

Crossrefs

Sequence in context: A028031 A042108 A022455 * A025950 A020584 A025970

Adjacent sequences: A021951 A021952 A021953 * A021955 A021956 A021957

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved