%I #12 Jul 08 2025 18:04:04

%S 1,24,373,4800,55861,613224,6497893,67364880,688931221,6985860024,

%T 70462212613,708365604960,7106726476981,71208736700424,

%U 712951450202533,7134775273637040,71379698771197141,713990571075854424

%N Expansion of 1/((1-3x)(1-5x)(1-6x)(1-10x)).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (24, -203, 720, -900).

%F a(n)=(3*10^(n+3)-35*6^(n+3)+42*5^(n+3)-10*3^(n+3))/420. [_Yahia Kahloune_, Jun 08 2013]

%t CoefficientList[Series[1/((1-3x)(1-5x)(1-6x)(1-10x)),{x,0,20}],x] (* or *) LinearRecurrence[{24,-203,720,-900},{1,24,373,4800},20] (* _Harvey P. Dale_, Feb 16 2024 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_