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%I #13 Dec 12 2022 08:22:27
%S 1,0,0,0,0,1,0,0,0,1,2,0,0,0,1,2,0,0,1,2,3,0,0,1,2,3,0,1,2,3,4,0,1,2,
%T 3,4,1,2,3,4,5,1,2,3,4,6,2,3,4,5,7,2,3,4,6,8,3,4,5,7,9,3,4,6,8,10,4,5,
%U 7,9,11,4,6,8,10,12,5,7,9
%N Expansion of 1/((1-x^5)*(1-x^9)*(1-x^10)).
%C a(n) is the number of partitions of n into parts 5, 9, and 10. - _Michel Marcus_, Dec 12 2022
%H G. C. Greubel, <a href="/A025891/b025891.txt">Table of n, a(n) for n = 0..5000</a>
%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1,0,0,0,1,1,0,0,0,-1,-1,0,0,0,-1,0,0,0,0,1).
%t CoefficientList[Series[1/((1-x^5)(1-x^9)(1-x^10)),{x,0,80}],x] (* _Harvey P. Dale_, Mar 05 2019 *)
%o (Magma) R<x>:=PowerSeriesRing(Integers(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^9)*(1-x^10)) )); // _G. C. Greubel_, Dec 11 2022
%o (SageMath)
%o def A025891_list(prec):
%o P.<x> = PowerSeriesRing(ZZ, prec)
%o return P( 1/((1-x^5)*(1-x^9)*(1-x^10)) ).list()
%o A025891_list(90) # _G. C. Greubel_, Dec 11 2022
%K nonn
%O 0,11
%A _N. J. A. Sloane_
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