A024441 Expansion of 1/((1-x)(1-7x)(1-9x)(1-10x)).

1, 27, 480, 7090, 94311, 1173417, 13944190, 160292880, 1797313221, 19769671207, 214195117500, 2292743705070, 24300717989731, 255479745527397, 2667841806196410, 27701356042027660, 286258773993179841

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (27,-249,853,-630).

Formula

a(n) = (16*10^(n+3) - 27*9^(n+3) + 12*7^(n+3) - 1)/432. [Yahia Kahloune, Jun 28 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-9x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -249, 853, -630}, {1, 27, 480, 7090}, 30] (* Harvey P. Dale, Apr 21 2024 *)

Crossrefs

Sequence in context: A026727 A028048 A028063 * A026028 A026543 A028046

Adjacent sequences: A024438 A024439 A024440 * A024442 A024443 A024444

Keyword

nonn,easy,changed

Author

N. J. A. Sloane.

Status

approved