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A383769 Denominators of the sequence whose Dirichlet convolution with itself yields cubes (A000578).

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%I A383769 #8 May 09 2025 10:34:17
%S A383769 1,1,2,1,2,1,2,1,8,1,2,1,2,1,4,1,2,2,2,1,4,1,2,1,8,1,16,1,2,1,2,1,4,1,
%T A383769 4,1,2,1,4,1,2,1,2,1,16,1,2,1,8,2,4,1,2,4,4,1,4,1,2,1,2,1,16,1,4,1,2,
%U A383769 1,4,1,2,1,2,1,16,1,4,1,2,1,128,1,2,1,4,1,4
%N A383769 Denominators of the sequence whose Dirichlet convolution with itself yields cubes (A000578).
%H A383769 Vaclav Kotesovec, <a href="/A383769/b383769.txt">Table of n, a(n) for n = 1..10000</a>
%o A383769 (PARI) for(n=1, 100, print1(denominator(direuler(p=2, n, 1/(1-p^3*X)^(1/2))[n]), ", "))
%Y A383769 Cf. A000578, A299149, A299150, A318649, A318512, A383768 (numerators).
%K A383769 nonn,frac
%O A383769 1,3
%A A383769 _Vaclav Kotesovec_, May 09 2025