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%I #9 Dec 12 2022 08:22:31
%S 1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,1,1,1,0,2,1,1,1,2,2,1,1,2,2,2,1,3,2,
%T 2,2,3,3,2,2,4,3,3,2,4,4,3,3,5,4,4,3,5,5,4,4,6,5,5,4,7,6,5,5,7,7,6,5,
%U 8,7,7,6,9,8,7,7,9,9,8,7
%N Expansion of 1/((1-x^5)*(1-x^8)*(1-x^12)).
%C a(n) is the number of partitions of n into parts 5, 8, and 12. - _Michel Marcus_, Dec 12 2022
%H G. C. Greubel, <a href="/A025890/b025890.txt">Table of n, a(n) for n = 0..5000</a>
%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1,0,0,1,0,0,0,1,-1,0,0,0,-1,0,0,-1,0,0,0,0,1).
%t CoefficientList[Series[1/((1-x^5)*(1-x^8)*(1-x^12)), {x,0,90}], x] (* _G. C. Greubel_, Dec 11 2022 *)
%o (Magma) R<x>:=PowerSeriesRing(Integers(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^8)*(1-x^12)) )); // _G. C. Greubel_, Dec 11 2022
%o (SageMath)
%o def A025890_list(prec):
%o P.<x> = PowerSeriesRing(ZZ, prec)
%o return P( 1/((1-x^5)*(1-x^8)*(1-x^12)) ).list()
%o A025890_list(90) # _G. C. Greubel_, Dec 11 2022
%Y Cf. A025887, A025888, A025889.
%K nonn
%O 0,21
%A _N. J. A. Sloane_
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