A025190 Expansion of 1/((1-x)(1-10x)(1-11x)(1-12x)).

1, 34, 761, 14126, 235557, 3664290, 54296257, 776238742, 10797496253, 146990010986, 1966611858393, 25940502403998, 338149901095189, 4364412518972722, 55856812102918769, 709715336973843494

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (34,-395,1682,-1320).

Formula

a(n)=(45*12^(n+3)-99*11^(n+3)+55*10^(n+3)-1))/990. [Yahia Kahloune, May 29 2013]

a(0)=1, a(1)=34, a(2)=761, a(3)=14126, a(n)=34*a(n-1)-395*a(n-2)+ 1682*a(n-3)- 1320*a(n-4). - Harvey P. Dale, May 22 2015

Mathematica

CoefficientList[Series[1/((1-x)(1-10x)(1-11x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -395, 1682, -1320}, {1, 34, 761, 14126}, 30] (* Harvey P. Dale, May 22 2015 *)

Crossrefs

Sequence in context: A295050 A295378 A028023 * A160315 A078193 A063843

Adjacent sequences: A025187 A025188 A025189 * A025191 A025192 A025193

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved