A339720 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^5.

1, -5, -5, 10, -5, 20, -5, -15, 10, 20, -5, -30, -5, 20, 20, 30, -5, -30, -5, -30, 20, 20, -5, 45, 10, 20, -15, -30, -5, -55, -5, -56, 20, 20, 20, 35, -5, 20, 20, 45, -5, -55, -5, -30, -30, 20, -5, -105, 10, -30, 20, -30, -5, 45, 20, 45, 20, 20, -5, 45, -5, 20, -30, 85, 20

Offset: 1

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

• sign

Crossrefs

Cf. A022600, A316441, A339337, A339717, A339718, A339719, A339721, A339722.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339337(n/d) * a(d).

a(p^k) = A022600(k) for prime p.