A383794 Denominators of Dirichlet g.f.: Sum_{n>=1} a(n)/n^s = zeta(s-1)^(1/3).

1, 3, 1, 9, 3, 3, 3, 81, 1, 9, 3, 9, 3, 9, 3, 243, 3, 3, 3, 27, 3, 9, 3, 81, 9, 9, 3, 27, 3, 9, 3, 729, 3, 9, 9, 9, 3, 9, 3, 243, 3, 9, 3, 27, 3, 9, 3, 243, 9, 27, 3, 27, 3, 9, 9, 243, 3, 9, 3, 27, 3, 9, 3, 6561, 9, 9, 3, 27, 3, 27, 3, 81, 3, 9, 9, 27, 9, 9, 3, 729

Offset: 1

Author

Vaclav Kotesovec, May 10 2025

Keywords

• nonn
• frac
• mult

Links

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

Crossrefs

Cf. A256688, A256689, A257099, A383705, A383793 (numerators).

Programs

PARI

for(n=1, 100, print1(denominator(direuler(p=2, n, 1/(1-p*X)^(1/3))[n]), ", "))