A025952 Expansion of 1/((1-2x)(1-3x)(1-9x)(1-10x)).

1, 24, 385, 5220, 64741, 760944, 8633305, 95554140, 1038550381, 11132642664, 118050851425, 1241028864660, 12954973386421, 134451901289184, 1388638534032745, 14283461073576780, 146408292464020861

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..998

Index entries for linear recurrences with constant coefficients, signature (24,-191,564,-540).

Formula

a(n) = -2^n/7 +9*3^n/14 -243*9^n/14 +125*10^n/7. - R. J. Mathar, Jun 20 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-3x)(1-9x)(1-10x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{24, -191, 564, -540}, {1, 24, 385, 5220}, 20] (* Harvey P. Dale, Dec 31 2021 *)

Crossrefs

Sequence in context: A266185 A114631 A020782 * A028031 A042108 A022455

Adjacent sequences: A025949 A025950 A025951 * A025953 A025954 A025955

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved