A028041 Expansion of 1/((1-3x)(1-4x)(1-7x)(1-11x)).

1, 25, 410, 5630, 70551, 839775, 9697720, 109955260, 1232712701, 13723263125, 152103875430, 1681194742890, 18549572478451, 204440573062075, 2251614293669540, 24787137412192520, 272794189857639801

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (25,-215,755,-924).

Formula

a(n)=(3*11^(n+3)-2*7^(n+4)+2*4^(n+5)-7*3^(n+4))/672. [Yahia Kahloune, Jun 07 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{25, -215, 755, -924}, {1, 25, 410, 5630}, 20] (* Harvey P. Dale, Aug 23 2017 *)

Crossrefs

Sequence in context: A260953 A025998 A024437 * A025995 A023955 A025980

Adjacent sequences: A028038 A028039 A028040 * A028042 A028043 A028044

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved