%I #8 Jun 13 2015 00:49:05
%S 1,24,388,5376,69328,862848,10547776,127767552,1540506880,18530383872,
%T 222632510464,2673205936128,32088199647232,385116900458496,
%U 4621754370506752,55463163983560704,665570645617475584
%N Expansion of 1/((1-2x)(1-4x)(1-6x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (24,-188,576,-576).
%F a(n) = -2^n/10 +2*4^n/1 -9*6^n/2 +18*12^n/5. _R. J. Mathar_, Jun 20 2013
%F a(0)=1, a(1)=24, a(2)=388, a(3)=5376, a(n)=24*a(n-1)-188*a(n-2)+ 576*a(n-3)- 576*a(n-4). - _Harvey P. Dale_, May 24 2015
%t CoefficientList[Series[1/((1-2x)(1-4x)(1-6x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{24,-188,576,-576},{1,24,388,5376},20] (* _Harvey P. Dale_, May 24 2015 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.