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A383792 Denominators of the sequence whose Dirichlet convolution with itself yields fourth powers (A000583).

%I A383792 #7 May 10 2025 09:18:00
%S A383792 1,1,2,1,2,1,2,1,8,1,2,1,2,1,4,1,2,1,2,1,4,1,2,1,8,1,16,1,2,1,2,1,4,1,
%T A383792 4,1,2,1,4,1,2,1,2,1,16,1,2,1,8,1,4,1,2,2,4,1,4,1,2,1,2,1,16,1,4,1,2,
%U A383792 1,4,1,2,1,2,1,16,1,4,1,2,1,128,1,2,1,4
%N A383792 Denominators of the sequence whose Dirichlet convolution with itself yields fourth powers (A000583).
%C A383792 Denominators of Dirichlet g.f.: Sum_{n>=1} a(n)/n^s = zeta(s-4)^(1/2).
%C A383792 First differs from A318658 at n = 54.
%H A383792 Vaclav Kotesovec, <a href="/A383792/b383792.txt">Table of n, a(n) for n = 1..10000</a>
%o A383792 (PARI) for(n=1, 100, print1(denominator(direuler(p=2, n, 1/(1-p^4*X)^(1/2))[n]), ", "))
%Y A383792 Cf. A000583, A318658, A383791 (numerators).
%Y A383792 Cf. A299149, A299150, A318649, A318512, A383768, A383769.
%K A383792 nonn,frac
%O A383792 1,3
%A A383792 _Vaclav Kotesovec_, May 10 2025