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

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

Offset

1,3

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^3*X)^(1/2))[n]), ", "))

Crossrefs

Cf. A000578, A299149, A299150, A318649, A318512, A383768 (numerators).

Sequence in context: A215136 A318658 A383792 * A318512 A295310 A359509

Adjacent sequences: A383766 A383767 A383768 * A383770 A383771 A383772

Keyword

nonn,frac

Author

Vaclav Kotesovec, May 09 2025

Status

approved