A339706 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^7.

1, -7, -7, 14, -7, 42, -7, 7, 14, 42, -7, -56, -7, 42, 42, -49, -7, -56, -7, -56, 42, 42, -7, -105, 14, 42, 7, -56, -7, -203, -7, 21, 42, 42, 42, -35, -7, 42, 42, -105, -7, -203, -7, -56, -56, 42, -7, 238, 14, -56, 42, -56, -7, -105, 42, -105, 42, 42, -7, 91, -7, 42, -56, 35, 42

Offset: 1

Author

Ilya Gutkovskiy, Dec 13 2020

Keywords

• sign

Crossrefs

Cf. A000730, A114592, A339322, A339701, A339702, A339703, A339704, A339705, A339707.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339322(n/d) * a(d).

a(p^k) = A000730(k) for prime p.