A028108 - OEIS

%I #10 Jul 30 2015 22:52:21

%S 1,36,835,15870,269041,4235856,63339535,911961090,12757140781,

%T 174463937076,2343013658635,31002931521510,405218193255721,

%U 5241917197644696,67218151176880135,855512978401565130

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36, -461, 2406, -3960).

%F 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

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

%t 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 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.