A339722 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^7.

1, -7, -7, 21, -7, 42, -7, -42, 21, 42, -7, -105, -7, 42, 42, 84, -7, -105, -7, -105, 42, 42, -7, 189, 21, 42, -42, -105, -7, -203, -7, -175, 42, 42, 42, 217, -7, 42, 42, 189, -7, -203, -7, -105, -105, 42, -7, -399, 21, -105, 42, -105, -7, 189, 42, 189, 42, 42, -7, 385

Offset: 1

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

• sign

Crossrefs

Cf. A022602, A316441, A339339, A339717, A339718, A339719, A339720, A339721.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339339(n/d) * a(d).

a(p^k) = A022602(k) for prime p.