%I #9 Jun 13 2015 00:49:04
%S 1,30,595,9840,147061,2063010,27740215,362136180,4628090521,
%T 58232585190,724277646235,8930528438520,109397647960381,
%U 1333481828166570,16193198750646655,196081347032548860
%N Expansion of 1/((1-x)(1-8x)(1-9x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (30,-305,1140,-864).
%F a(n) = (14*12^(n+3) - 77*9^(n+3) + 66*8^(n+3) - 3)/1848. [_Yahia Kahloune_, Jul 01 2013]
%F a(0)=1, a(1)=30, a(2)=595, a(3)=9840, a(n)=30*a(n-1)-305*a(n-2)+ 1140*a(n-3)- 864*a(n-4). - _Harvey P. Dale_, May 10 2015
%t CoefficientList[Series[1/((1-x)(1-8x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{30,-305,1140,-864},{1,30,595,9840},30] (* _Harvey P. Dale_, May 10 2015 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.