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%I #17 Jan 17 2024 01:54:43
%S 1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,1,0,0,3,0,2,0,1,3,0,2,0,1,4,0,3,0,
%T 2,4,1,3,0,2,5,1,4,0,3,5,2,4,1,3,6,2,5,1,4,6,3,5,2,4,8,3,6,2,5,8,4,6,
%U 3,5,10,4,8,3,6,10,5,8,4,6
%N Expansion of 1/((1-x^5)*(1-x^10)*(1-x^12)).
%C a(n) is the number of partitions of n into parts 5, 10, and 12. - _Joerg Arndt_, Jan 17 2024
%H G. C. Greubel, <a href="/A025895/b025895.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_27">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1,0,0,0,0,1,0,1,0,0,-1,0,-1,0,0,0,0,-1,0,0,0,0,1).
%t CoefficientList[Series[1/((1-x^5)(1-x^10)(1-x^12)),{x,0,100}],x] (* _Harvey P. Dale_, Mar 30 2011 *)
%o (Magma) R<x>:=PowerSeriesRing(Integers(), 120); Coefficients(R!( 1/((1-x^5)*(1-x^10)*(1-x^12)) )); // _G. C. Greubel_, Jan 17 2024
%o (SageMath)
%o def A025895_list(prec):
%o P.<x> = PowerSeriesRing(ZZ, prec)
%o return P( 1/((1-x^5)*(1-x^10)*(1-x^12)) ).list()
%o A025895_list(120) # _G. C. Greubel_, Jan 17 2024
%Y Cf. A025893, A025894, A025896.
%K nonn
%O 0,11
%A _N. J. A. Sloane_
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