A028013 Expansion of 1/((1-2*x)*(1-7*x)*(1-10*x)*(1-12*x)).

1, 31, 629, 10595, 160965, 2293347, 31302517, 414606643, 5373114725, 68512221635, 862890573909, 10764894286419, 133300183232581, 1640952361357795, 20105879474257205, 245421711656823923

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (31,-332,1388,-1680).

Formula

a(0)=1, a(1)=31, a(2)=629, a(3)=10595, a(n)=31*a(n-1)-332*a(n-2)+ 1388*a(n-3)-1680*a(n-4). - Harvey P. Dale, Nov 02 2011

a(n)=(12^(n+4)-25*10^(n+3)+16*7^(n+3)-3*2^(n+3))/1200. - Yahia Kahloune, Jun 06 2013

Mathematica

CoefficientList[Series[1/((1-2x)(1-7x)(1-10x)(1-12x)), {x, 0, 30}], x] (* Harvey P. Dale, Nov 02 2011 *)
(* Alternative: *)
LinearRecurrence[{31, -332, 1388, -1680}, {1, 31, 629, 10595}, 30] (* Harvey P. Dale, Nov 02 2011 *)

Crossrefs

Sequence in context: A028018 A028087 A028017 * A028073 A089758 A078891

Adjacent sequences: A028010 A028011 A028012 * A028014 A028015 A028016

Keyword

nonn,easy,changed

Author

N. J. A. Sloane

Status

approved