A028118 Expansion of 1/((1-4x)(1-5x)(1-7x)(1-11x)).

1, 27, 470, 6750, 87411, 1065177, 12504280, 143383500, 1619764421, 18123947127, 201553821690, 2232652225050, 24669249375031, 272138102501877, 2998983086992700, 33027209966147400, 363568827451799241

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (27, -259, 1053, -1540).

Formula

a(0)=1, a(1)=27, a(2)=470, a(3)=6750, a(n)=27*a(n-1)- 259*a(n-2)+ 1053*a(n-3)- 1540*a(n-4). - Harvey P. Dale, Oct 20 2012

a(n)=(11^(n+3)-7^(n+4)+14*5^(n+3)-8*4^(n+3))/168. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1/((1-4x)(1-5x)(1-7x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -259, 1053, -1540}, {1, 27, 470, 6750}, 30] (* Harvey P. Dale, Oct 20 2012 *)

Crossrefs

Sequence in context: A028089 A028121 A028080 * A028068 A028077 A028006

Adjacent sequences: A028115 A028116 A028117 * A028119 A028120 A028121

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved