A028051 - OEIS

%I #17 Jul 30 2015 22:47:57

%S 1,29,555,8905,130091,1796769,23932195,310954985,3969388731,

%T 50012943409,623962124435,7725629774265,95088465616171,

%U 1164870934296449,14216545739974275,172979498415780745

%N Expansion of 1/((1-3x)(1-4x)(1-10x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29, -286, 1104, -1440).

%F a(0)=1, a(1)=29, a(2)=555, a(3)=8905, a(n)=29*a(n-1)-286*a(n-2)+ 1104*a(n-3)- 1440*a(n-4). [_Harvey P. Dale_, Dec 31 2011]

%F a(n)=(7*12^(n+3)-12*10^(n+3)+21*4^(n+3)-16*3^(n+3))/1008. [_Yahia Kahloune_, May 27 2013]

%t CoefficientList[Series[1/((1-3x)(1-4x)(1-10x)(1-12x)),{x,0,30}],x]  (* or *) LinearRecurrence[{29,-286,1104,-1440},{1,29,555,8905},30] (* _Harvey P. Dale_, Dec 31 2011 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.