A028004 Expansion of 1/((1-2x)(1-6x)(1-11x)(1-12x)).

1, 31, 633, 10787, 166481, 2416827, 33681481, 456072739, 6046236801, 78876961163, 1016157547769, 12960408919731, 163959874019761, 2060322716086939, 25744836645629097, 320169349603453763

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-328,1332,-1584).

Formula

a(n)=(6*12^(n+3)-8*11^(n+3)+3*6^(n+3)-2^(n+3))/360. [Yahia Kahloune, Jun 05 2013]

Mathematica

CoefficientList[Series[1/((1-2x)(1-6x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{31, -328, 1332, -1584}, {1, 31, 633, 10787}, 20] (* Harvey P. Dale, Oct 23 2017 *)

Crossrefs

Sequence in context: A078914 A068147 A025009 * A025007 A024446 A020983

Adjacent sequences: A028001 A028002 A028003 * A028005 A028006 A028007

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved