A025470 Expansion of 1/((1-2x)(1-3x)(1-4x)(1-9x)).

1, 18, 217, 2238, 21493, 199506, 1821889, 16508646, 149043565, 1343313114, 12097677241, 108911059374, 980328977317, 8823483334242, 79413454477873, 714729551160822, 6432599932896349, 57893535673021290

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (18, -107, 258, -216).

Formula

a(n) = -4*2^n/7 +9*3^n/2 -32*4^n/5 +243*9^n/70. - R. J. Mathar, Jun 30 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-4x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{18, -107, 258, -216}, {1, 18, 217, 2238}, 30] (* Harvey P. Dale, Dec 14 2023 *)

Crossrefs

Sequence in context: A101188 A019757 A021503 * A046915 A041616 A224296

Adjacent sequences: A025467 A025468 A025469 * A025471 A025472 A025473

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved