A028108 Expansion of 1/((1-3x)(1-10x)(1-11x)(1-12x)).

1, 36, 835, 15870, 269041, 4235856, 63339535, 911961090, 12757140781, 174463937076, 2343013658635, 31002931521510, 405218193255721, 5241917197644696, 67218151176880135, 855512978401565130

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (36, -461, 2406, -3960).

Formula

a(0)=1, a(1)=36, a(2)=835, a(3)=15870, a(n)=36*a(n-1)-461*a(n-2)+2406*a(n-3)- 3960*a(n-4). - Harvey P. Dale, Mar 15 2013

a(n)=(28*12^(n+3)-63*11^(n+3)+36*10^(n+3)-3^(n+3))/504. [Yahia Kahloune, Jun 11 2013]

Mathematica

CoefficientList[Series[1/((1-3x)(1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{36, -461, 2406, -3960}, {1, 36, 835, 15870}, 30] (* Harvey P. Dale, Mar 15 2013 *)

Crossrefs

Sequence in context: A114238 A028163 A054622 * A001457 A203271 A004360

Adjacent sequences: A028105 A028106 A028107 * A028109 A028110 A028111

Keyword

nonn

Author

N. J. A. Sloane.

Status

approved