A383791 -id:A383791 - cp's OEIS frontend

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

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, 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, 1, 4, 1, 2, 1, 2, 1, 16, 1, 4, 1, 2, 1, 128, 1, 2, 1, 4

Offset: 1

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Vaclav Kotesovec, May 10 2025

nonn
frac

Denominators of Dirichlet g.f.: Sum_{n>=1} a(n)/n^s = zeta(s-4)^(1/2).

First differs from A318658 at n = 54.

Vaclav Kotesovec, Table of n, a(n) for n = 1..10000

Cf. A000583, A318658, A383791 (numerators).

Cf. A299149, A299150, A318649, A318512, A383768, A383769.

for(n=1, 100, print1(denominator(direuler(p=2, n, 1/(1-p^4*X)^(1/2))[n]), ", "))

cp's OEIS Frontend

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

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