A028100 Expansion of 1/((1-3x)(1-8x)(1-9x)(1-11x)).

1, 31, 618, 10094, 147203, 1997037, 25786636, 321380188, 3901566405, 46429426043, 544051398254, 6298258575882, 72214033934407, 821632688021449, 9290501272470672, 104524684322022776, 1171184420402768009

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-343,1569,-2376).

Formula

a(n) = (5*11^(n+3)-20*9^(n+3)+2*8^(n+4)-3^(n+3))/240. - Yahia Kahloune, Jun 10 2013

Mathematica

CoefficientList[Series[1/((1-3x)(1-8x)(1-9x)(1-11x)), {x, 0, 20}], x]
LinearRecurrence[{31, -343, 1569, -2376}, {1, 31, 618, 10094}, 20] (* Harvey P. Dale, Aug 31 2023 *)

Crossrefs

Sequence in context: A301769 A028142 A028148 * A242517 A028141 A302857

Adjacent sequences: A028097 A028098 A028099 * A028101 A028102 A028103

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved