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%I #9 Apr 13 2022 13:02:18
%S 1,25,401,5285,62601,696045,7442401,77640805,797399801,8108665565,
%T 81939294801,824736146325,8280574247401,83010854259085,
%U 831368657137601,8321395551579845,83260955156605401,832895295388684605
%N Expansion of 1/((1-4x)(1-5x)(1-6x)(1-10x)).
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25,-224,860,-1200).
%F a(n)=(10^(n+3)-15*6^(n+3)+24*5^(n+3)-10*4^(n+3))/120. [_Yahia Kahloune_, Jun 11 2013]
%p [seq( (10^(n+3)-15*6^(n+3)+24*5^(n+3)-10*4^(n+3))/120, n=0..40)];
%t CoefficientList[Series[1/((1-4x)(1-5x)(1-6x)(1-10x)),{x,0,20}],x] (* or *) LinearRecurrence[ {25,-224,860,-1200},{1,25,401,5285},20] (* _Harvey P. Dale_, Apr 13 2022 *)
%K nonn
%O 0,2
%A _N. J. A. Sloane_.