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Expansion of 1/((1-5x)(1-7x)(1-9x)(1-12x)).
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%I #11 Oct 20 2024 11:10:51

%S 1,33,694,11898,181747,2582715,34981048,458355876,5866720453,

%T 73835049717,917894484442,11308397377134,138391574753719,

%U 1685252212876239,20446364918965276,247382964478976472

%N Expansion of 1/((1-5x)(1-7x)(1-9x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (33, -395, 2031, -3780).

%F a(n)=(8*12^(n+3)-35*9^(n+3)+6*7^(n+4)-3*5^(n+4))/840. [_Yahia Kahloune_, Jun 04 2013]

%t CoefficientList[Series[1/((1-5x)(1-7x)(1-9x)(1-12x)),{x,0,30}],x] (* or *) LinearRecurrence[{33,-395,2031,-3780},{1,33,694,11898},30] (* _Harvey P. Dale_, Oct 20 2024 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.