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Expansion of 1/((1-3x)(1-4x)(1-7x)(1-9x)).
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%I #10 Sep 18 2022 18:50:24

%S 1,23,342,4198,46403,481341,4792264,46410716,440901285,4131534979,

%T 38331795866,353038275954,3233774790247,29499248911337,

%U 268261230188748,2433731253526312,22039259605258889,199303153044040815

%N Expansion of 1/((1-3x)(1-4x)(1-7x)(1-9x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (23,-187,633,-756).

%F a(n)=(2*9^(n+3)-5*7^(n+3)+8*4^(n+3)-5*3^(n+3))/120. [_Yahia Kahloune_, May 31 2013]

%t CoefficientList[Series[1/((1-3x)(1-4x)(1-7x)(1-9x)),{x,0,30}],x] (* or *) LinearRecurrence[ {23,-187,633,-756},{1,23,342,4198},30] (* _Harvey P. Dale_, Sep 18 2022 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.