A025963 Expansion of 1/((1-2x)(1-4x)(1-5x)(1-11x)).

1, 22, 325, 4110, 48381, 550062, 6148165, 68149870, 752379661, 8290355502, 91266902805, 1004309278830, 11049302357341, 121551961591342, 1337120292662245, 14708568942522990, 161795495573813421

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (22,-159,458,-440).

Formula

a(n) = -4*2^n/27 +32*4^n/7 -125*5^n/18 +1331*11^n/378. - R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-4x)(1-5x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{22, -159, 458, -440}, {1, 22, 325, 4110}, 30] (* Harvey P. Dale, Jul 16 2016 *)

Crossrefs

Sequence in context: A288576 A020571 A021874 * A020343 A025941 A125479

Adjacent sequences: A025960 A025961 A025962 * A025964 A025965 A025966

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved