A028096 Expansion of 1/((1-3x)(1-7x)(1-10x)(1-11x)).

1, 31, 620, 10190, 149931, 2056881, 26907430, 340238680, 4195278461, 50745196931, 604662792240, 7119407163570, 83018865142591, 960430934574181, 11038161347163050, 126162293709144860, 1435268577300318321

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31, -341, 1541, -2310).

Formula

a(n)=(21*11^(n+3)-32*10^(n+3)+2*7^(n+4)-3^(n+4))/672. [Yahia Kahloune, May 29 2013].

Mathematica

CoefficientList[Series[1/((1-3x)(1-7x)(1-10x)(1-11x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{31, -341, 1541, -2310}, {1, 31, 620, 10190}, 20] (* Harvey P. Dale, Oct 31 2017 *)

Crossrefs

Sequence in context: A242517 A028141 A302857 * A042864 A028095 A028128

Adjacent sequences: A028093 A028094 A028095 * A028097 A028098 A028099

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved