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Expansion of 1/((1-4x)(1-7x)(1-9x)(1-11x)).
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%I #11 Sep 28 2023 11:25:46

%S 1,31,614,9926,142995,1915077,24414088,300588892,3608146949,

%T 42498447563,493420114122,5665664143698,64496965543063,

%U 729264545514289,8201673484111916,91847355888191144,1025058980614782537

%N Expansion of 1/((1-4x)(1-7x)(1-9x)(1-11x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31, -347, 1649, -2772).

%F a(n) = (15*11^(n+3)-42*9^(n+3)+5*7^(n+4)-2*4^(n+4))/840. [_Yahia Kahloune_, May 29 2013]

%t CoefficientList[Series[1/((1 - 4 x) (1 - 7 x) (1 - 9 x) (1 - 11 x)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Apr 25 2017 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_