A025988 Expansion of 1/((1-2x)(1-5x)(1-6x)(1-9x)).

1, 22, 315, 3740, 40121, 405042, 3935095, 37284280, 347419941, 3201202862, 29273641475, 266321046420, 2414445954961, 21837387317482, 197190900709455, 1778695458106160, 16032377546389181, 144437380023772902

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (22,-169,528,-540).

Formula

a(n) = -2*2^n/21 +125*5^n/12 -18*6^n/1 +243*9^n/28. R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-5x)(1-6x)(1-9x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{22, -169, 528, -540}, {1, 22, 315, 3740}, 20] (* Harvey P. Dale, Mar 10 2018 *)

Crossrefs

Sequence in context: A028034 A028231 A326277 * A267132 A023949 A025972

Adjacent sequences: A025985 A025986 A025987 * A025989 A025990 A025991

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved