A028008 Expansion of 1/((1-2x)(1-7x)(1-8x)(1-12x)).

1, 29, 551, 8713, 124719, 1681449, 21820639, 276146585, 3436220975, 42270842185, 515935095039, 6263469307641, 75758994829519, 914022487668137, 11008535762024351, 132431203010446681, 1591851153157367151

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (29,-290,1144,-1344).

Formula

a(n)=(3*12^(n+3)-25*8^(n+3)+24*7^(n+3)-2^(n+4))/600. [Yahia Kahloune, Jun 06 2013]

Mathematica

CoefficientList[Series[1/((1-2x)(1-7x)(1-8x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{29, -290, 1144, -1344}, {1, 29, 551, 8713}, 20] (* Harvey P. Dale, Dec 25 2017 *)

Crossrefs

Sequence in context: A028071 A028070 A028002 * A042628 A028001 A024772

Adjacent sequences: A028005 A028006 A028007 * A028009 A028010 A028011

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved