A028177 Expansion of 1/((1-5x)(1-6x)(1-10x)(1-11x)).

1, 32, 653, 10864, 160965, 2216256, 29037037, 367278608, 4526901269, 54714980320, 651369416061, 7662042543792, 89264097643813, 1031793631351424, 11849055184966925, 135335527957665616

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (32,-371,1840,-3300).

Formula

a(n)=(2*11^(n+3)-3*10^(n+3)+3*6^(n+3)-2*5^(n+3))/60. [Yahia Kahloune, Jun 04 2013]

a(0)=1, a(1)=32, a(2)=653, a(3)=10864, a(n)=32*a(n-1)-371*a(n-2)+ 1840*a(n-3)- 3300*a(n-4). - Harvey P. Dale, Oct 23 2015

Mathematica

CoefficientList[Series[1/((1-5x)(1-6x)(1-10x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{32, -371, 1840, -3300}, {1, 32, 653, 10864}, 20] (* Harvey P. Dale, Oct 23 2015 *)

Crossrefs

Sequence in context: A028202 A028185 A028156 * A028183 A192392 A076072

Adjacent sequences: A028174 A028175 A028176 * A028178 A028179 A028180

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved