A025007 Expansion of 1/((1-x)(1-8x)(1-10x)(1-12x)).

1, 31, 635, 10835, 166851, 2407971, 33252835, 445002595, 5818890851, 74768679011, 947871169635, 11890741318755, 147930305201251, 1828206048535651, 22473922782504035, 275081786101769315

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (31, -326, 1256, -960).

Formula

a(n) = (63*12^(n+3) - 154*10^(n+3) + 99*8^(n+3) - 8)/5544. [Yahia Kahloune, Jul 02 2013]

Mathematica

CoefficientList[Series[1/((1-x)(1-8x)(1-10x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{31, -326, 1256, -960}, {1, 31, 635, 10835}, 30] (* Harvey P. Dale, Jun 10 2023 *)

Crossrefs

Sequence in context: A068147 A025009 A028004 * A024446 A020983 A020981

Adjacent sequences: A025004 A025005 A025006 * A025008 A025009 A025010

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved