A339721 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^6.

1, -6, -6, 15, -6, 30, -6, -26, 15, 30, -6, -60, -6, 30, 30, 51, -6, -60, -6, -60, 30, 30, -6, 96, 15, 30, -26, -60, -6, -114, -6, -102, 30, 30, 30, 96, -6, 30, 30, 96, -6, -114, -6, -60, -60, 30, -6, -210, 15, -60, 30, -60, -6, 96, 30, 96, 30, 30, -6, 156, -6, 30, -60, 172, 30

Offset: 1

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

• sign

Crossrefs

Cf. A022601, A316441, A339338, A339717, A339718, A339719, A339720, A339722.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339338(n/d) * a(d).

a(p^k) = A022601(k) for prime p.