A028039 Expansion of 1/((1-3x)(1-4x)(1-7x)(1-9x)).

1, 23, 342, 4198, 46403, 481341, 4792264, 46410716, 440901285, 4131534979, 38331795866, 353038275954, 3233774790247, 29499248911337, 268261230188748, 2433731253526312, 22039259605258889, 199303153044040815

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (23,-187,633,-756).

Formula

a(n)=(2*9^(n+3)-5*7^(n+3)+8*4^(n+3)-5*3^(n+3))/120. [Yahia Kahloune, May 31 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {23, -187, 633, -756}, {1, 23, 342, 4198}, 30] (* Harvey P. Dale, Sep 18 2022 *)

Crossrefs

Sequence in context: A299710 A028055 A026324 * A002118 A025993 A111875

Adjacent sequences: A028036 A028037 A028038 * A028040 A028041 A028042

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved