A028099 Expansion of 1/((1 - 3*x)*(1 - 8*x)*(1 - 9*x)*(1 - 10*x)).

1, 30, 577, 9066, 126829, 1646094, 20280169, 240528882, 2771673157, 31228927158, 345616983361, 3769863028698, 40631819886685, 433596513609822, 4588506840332953, 48214238728174914, 503555280142266613

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (30,-323,1446,-2160).

Formula

a(n)=(15*10^(n+3)-35*9^(n+3)+21*8^(n+3)-3^(n+3))/210. [Yahia Kahloune, Jun 10 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-8x)(1-9x)(1-10x)), {x, 0, 30}], x] (* Harvey P. Dale, Mar 02 2020 *)

Crossrefs

Sequence in context: A028149 A028172 A028147 * A028140 A028169 A028094

Adjacent sequences: A028096 A028097 A028098 * A028100 A028101 A028102

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved