A025969 Expansion of 1/((1-2x)(1-4x)(1-6x)(1-11x)).

1, 23, 353, 4603, 55449, 640851, 7242961, 80866811, 896831177, 9909444259, 109271790849, 1203605509899, 13249389022585, 145801783940147, 1604171188346417, 17647994609290267, 194140618516940073

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (23, -176, 532, -528).

Formula

a(0)=1, a(1)=23, a(2)=353, a(3)=4603, a(n)=23*a(n-1)-176*a(n-2)+ 532*a(n-3)- 528*a(n-4). - Harvey P. Dale, Jun 25 2011

a(n) = (8*11^(n+3)-63*6^(n+3)+90*4^(n+3)-35*2^(n+3))/2520. - Yahia Kahloune, May 24 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-6x)(1-11x)), {x, 0, 40}], x] (* or *) LinearRecurrence[ {23, -176, 532, -528}, {1, 23, 353, 4603}, 40] (* Harvey P. Dale, Jun 25 2011 *)

Crossrefs

Sequence in context: A022454 A142617 A025949 * A020579 A021914 A022412

Adjacent sequences: A025966 A025967 A025968 * A025970 A025971 A025972

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved