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Expansion of 1/((1-5x)(1-6x)(1-8x)(1-12x)).
0

%I #11 Sep 28 2023 11:33:16

%S 1,31,615,9995,145511,1981731,25867375,328390315,4092662871,

%T 50378487731,614988087935,7465359578235,90280175113831,

%U 1089001243414531,13113567724769295,157729903649607755

%N Expansion of 1/((1-5x)(1-6x)(1-8x)(1-12x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (31, -346, 1656, -2880).

%F G.f.: 1/((1-5*x)*(1-6*x)*(1-8*x)*(1-12*x)).

%F a(n) = (12^(n+3)-7*8^(n+3)+14*6^(n+3)-8*5^(n+3))/168. [_Yahia Kahloune_, Jun 03 2013]

%t CoefficientList[Series[1/((1 - 5*x)*(1 - 6*x)*(1 - 8*x)*(1 - 12*x)), {x, 0, 20}], x] (* _Wesley Ivan Hurt_, Sep 04 2022 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_.