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%I #11 Jul 30 2015 22:55:02
%S 1,31,617,10079,147609,2022447,26547529,338695423,4238709497,
%T 52353238223,640806363561,7794824571807,94411354501465,
%U 1140149916014959,13741090450747913,165378493289389631
%N Expansion of 1/((1-4x)(1-7x)(1-8x)(1-12x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31, -344, 1616, -2688).
%F a(0)=1, a(1)=31, a(2)=617, a(3)=10079, a(n)=31*a(n-1)-344*a(n-2)+ 1616*a(n-3)-2688*a(n-4) [_Harvey P. Dale_, Nov 20 2011]
%F a(n)=(3*12^(n+3)-30*8^(n+3)+32*7^(n+3)-5*4^(n+3))/480. [_Yahia Kahloune_, May 29 2013].
%t CoefficientList[Series[1/((1-4x)(1-7x)(1-8x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{31,-344,1616,-2688},{1,31,617,10079},20] (* _Harvey P. Dale_, Nov 20 2011 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.