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%I #14 Jul 30 2015 22:56:17
%S 1,34,740,13160,208656,3075744,43147840,584341120,7711252736,
%T 99794799104,1272281687040,16031996897280,200167551471616,
%U 2480945949220864,30569500530851840,374885865442672640
%N Expansion of 1/((1-4x)(1-8x)(1-10x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (34, -416, 2144, -3840).
%F a(0)=1, a(1)=34, a(2)=740, a(3)=13160, a(n)=34*a(n-1)-416*a(n-2)+ 2144*a(n-3)- 3840*a(n-4) [From Harvey P. Dale, Oct 21 2011]
%F a(n)=(3*12^(n+3)-8*10^(n+3)+6*8^(n+3)-4^(n+3))/192. [_Yahia Kahloune_, May 27 2013].
%t CoefficientList[Series[1/((1-4x)(1-8x)(1-10x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{34,-416,2144,-3840},{1,34,740,13160},30] (* _Harvey P. Dale_, Oct 21 2011 *)
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.
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