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Expansion of 1/((1-x)(1-7x)(1-9x)(1-12x)).
0

%I #14 Jun 10 2023 15:36:17

%S 1,29,558,8986,131243,1805223,23872696,307323332,3882264405,

%T 48383711857,597102947714,7316027902638,89165615770687,

%U 1082459954878331,13102563809462412,158253703693612504

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (29,-283,1011,-756).

%F a(n) = (16*12^(n+3) - 55*9^(n+3) + 44*7^(n+3) - 5)/2640. [_Yahia Kahloune_, Jun 28 2013]

%t CoefficientList[Series[1/((1-x)(1-7x)(1-9x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{29,-283,1011,-756},{1,29,558,8986},20] (* _Harvey P. Dale_, Jun 10 2023 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.