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A025884 Expansion of 1/((1-x^5)*(1-x^7)*(1-x^10)). 5

%I #16 Nov 19 2022 01:10:48

%S 1,0,0,0,0,1,0,1,0,0,2,0,1,0,1,2,0,2,0,1,3,1,2,0,2,3,1,3,1,2,4,2,3,1,

%T 3,5,2,4,2,3,6,3,5,2,4,7,3,6,3,5,8,4,7,3,6,9,5,8,4,7,10,6,9,5,8,11,7,

%U 10,6,9,13,8,11,7,10,14,9,13

%N Expansion of 1/((1-x^5)*(1-x^7)*(1-x^10)).

%C a(n) is the number of partitions of n into parts 5, 7, and 10. - _Joerg Arndt_, Nov 19 2022

%H G. C. Greubel, <a href="/A025884/b025884.txt">Table of n, a(n) for n = 0..5000</a>

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>,signature (0,0,0,0,1,0,1,0,0,1,0,-1,0,0,-1,0,-1,0,0,0,0,1).

%t CoefficientList[Series[1/((1-x^5)(1-x^7)(1-x^10)),{x,0,80}],x] (* _Harvey P. Dale_, Jan 29 2020 *)

%o (Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^5)*(1-x^7)*(1-x^10)))); // _Vincenzo Librandi_, Jan 30 2020

%o (SageMath)

%o def A025884_list(prec):

%o P.<x> = PowerSeriesRing(ZZ, prec)

%o return P( 1/((1-x^5)*(1-x^7)*(1-x^10)) ).list()

%o A025884_list(90) # _G. C. Greubel_, Nov 18 2022

%Y Cf. A025882, A025883, A025885, A025886.

%K nonn,easy

%O 0,11

%A _N. J. A. Sloane_

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)