|
%I #15 Jan 24 2024 02:10:50
%S 1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,2,1,1,1,1,0,2,1,1,2,2,1,3,1,1,2,
%T 2,1,4,2,2,3,3,1,4,2,2,4,4,2,5,3,3,4,4,2,6,4,4,5,5,3,7,4,4,6,6,4,8,5,
%U 5,7,7,4,9,6,6,8,8,5,10,7
%N Expansion of 1/((1-x^6)*(1-x^9)*(1-x^10)).
%C a(n) is the number of partitions of n into parts 6, 9, and 10. - _Michel Marcus_, Jan 24 2024
%H G. C. Greubel, <a href="/A025904/b025904.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 (0,0,0,0,0,1,0,0,1,1,0,0,0,0,-1,-1,0,0,-1,0,0,0,0,0,1).
%t CoefficientList[Series[1/((1-x^6)(1-x^9)(1-x^10)),{x,0,80}],x] (* _Harvey P. Dale_, Jun 09 2019 *)
%o (Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^6)*(1-x^9)*(1-x^10)) )); // _G. C. Greubel_, Jan 23 2024
%o (SageMath)
%o def A025904_list(prec):
%o P.<x> = PowerSeriesRing(ZZ, prec)
%o return P( 1/((1-x^6)*(1-x^9)*(1-x^10)) ).list()
%o A025904_list(100) # _G. C. Greubel_, Jan 23 2024
%Y Cf. A025902, A025903, A025905, A025906.
%K nonn
%O 0,19
%A _N. J. A. Sloane_
|
