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%I #9 Nov 18 2022 03:41:18
%S 1,0,0,0,0,1,1,0,0,1,1,1,1,0,1,2,1,1,2,1,2,2,1,2,3,2,2,3,2,3,4,2,3,4,
%T 3,4,5,3,4,5,4,5,6,4,5,7,5,6,7,5,7,8,6,7,9,7,8,9,7,9,11,8,9,11,9,11,
%U 12,9,11,13,11,12,14,11,13,15
%N Expansion of 1/((1-x^5)*(1-x^6)*(1-x^9)).
%H G. C. Greubel, <a href="/A025878/b025878.txt">Table of n, a(n) for n = 0..5000</a>
%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1,1,0,0,1,0,-1,0,0,-1,-1,0,0,0,0,1).
%t CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^9)),{x,0,100}],x] (* or *) LinearRecurrence[{0,0,0,0,1,1,0,0,1,0,-1,0,0,-1,-1,0,0,0,0,1},{1,0,0,0,0,1,1,0,0,1,1,1,1,0,1,2,1,1,2,1},100] (* _Harvey P. Dale_, Jul 29 2021 *)
%o (Magma) R<x>:=PowerSeriesRing(Rationals(), 80); Coefficients(R!( 1/((1-x^5)*(1-x^6)*(1-x^9)) )); // _G. C. Greubel_, Nov 17 2022
%o (SageMath)
%o def A025878_list(prec):
%o P.<x> = PowerSeriesRing(ZZ, prec)
%o return P( 1/((1-x^5)*(1-x^6)*(1-x^9)) ).list()
%o A025878_list(80) # _G. C. Greubel_, Nov 17 2022
%Y Cf. A025876, A025877, A025879, A025880, A025881.
%K nonn
%O 0,16
%A _N. J. A. Sloane_
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