A025941 Expansion of 1/((1-2x)(1-3x)(1-6x)(1-11x)).

1, 22, 327, 4172, 49553, 567714, 6382699, 71043064, 786493125, 8681598926, 95678810591, 1053554778276, 11595631317817, 127591121803258, 1403737417995603, 15442522109891408, 169876206409453229

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22, -157, 432, -396).

Formula

a(n) = -2^(n+1)/9 -3*6^(n+1)/5 +11^(n+3)/360 +3^(n+2)/8. - R. J. Mathar, Jun 04 2013

a(0)=1, a(1)=22, a(2)=327, a(3)=4172, a(n)=22*a(n-1)-157*a(n-2)+ 432*a(n-3)- 396*a(n-4). - Harvey P. Dale, Aug 20 2014

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-6x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{22, -157, 432, -396}, {1, 22, 327, 4172}, 20] (* Harvey P. Dale, Aug 20 2014 *)

Crossrefs

Sequence in context: A021874 A025963 A020343 * A125479 A047868 A002539

Adjacent sequences: A025938 A025939 A025940 * A025942 A025943 A025944

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved