A332732 - OEIS

A332732

Dirichlet g.f.: zeta(6*s) / (zeta(s) * zeta(2*s) * zeta(3*s)).

1, -1, -1, -1, -1, 1, -1, 0, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 0, -1, 1, 0, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 0, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 0, 1, 0, 1, 1, -1, -1, -1, 1, 1, 0, 1, -1, -1, 1, 1, -1, -1, 0, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 0, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1

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OFFSET

COMMENTS

Dirichlet inverse of A005361.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Ilya Gutkovskiy, Scatterplot of partial sums of A332732

FORMULA

a(1) = 1; a(n) = -Sum_{d|n, d<n} A005361(n/d) * a(d).

a(n) = Sum_{d|n} A007427(n/d) * A299406(d).

Multiplicative with a(p^e) = A163810(e). - Amiram Eldar, Nov 30 2020

MATHEMATICA