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

1,3

Comments

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

First differs from A318658 at n = 54.

Links

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

Prog

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

Crossrefs

Cf. A000583, A318658, A383791 (numerators).

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

Sequence in context: A363520 A215136 A318658 * A383769 A318512 A295310

Adjacent sequences: A383789 A383790 A383791 * A383793 A383794 A383795

Keyword

nonn,frac

Author

Vaclav Kotesovec, May 10 2025

Status

approved