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A025881 Expansion of 1/((1-x^5)*(1-x^6)*(1-x^12)). 6

%I #16 Nov 19 2022 02:21:00

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

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

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

%N Expansion of 1/((1-x^5)*(1-x^6)*(1-x^12)).

%C a(n) is the number of partitions of n into parts 5, 6, and 12. - _Joerg Arndt_, Nov 19 2022

%H G. C. Greubel, <a href="/A025881/b025881.txt">Table of n, a(n) for n = 0..5000</a>

%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1,1,0,0,0,0,-1,1,0,0,0,0,-1,-1,0,0,0,0,1).

%t CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^12)),{x,0,80}],x] (* _Harvey P. Dale_, Nov 26 2020 *)

%o (Magma) R<x>:=PowerSeriesRing(Rationals(), 90); Coefficients(R!( 1/((1-x^5)*(1-x^6)*(1-x^12)) )); // _G. C. Greubel_, Nov 18 2022

%o (SageMath)

%o def A025881_list(prec):

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

%o return P( 1/((1-x^5)*(1-x^6)*(1-x^12)) ).list()

%o A025881_list(90) # _G. C. Greubel_, Nov 18 2022

%Y Cf. A025876, A025877, A025878, A025879, A025880.

%K nonn,easy

%O 0,13

%A _N. J. A. Sloane_

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Last modified April 23 03:30 EDT 2024. Contains 371906 sequences. (Running on oeis4.)