A339707 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^8.

1, -8, -8, 20, -8, 56, -8, 0, 20, 56, -8, -104, -8, 56, 56, -70, -8, -104, -8, -104, 56, 56, -8, -104, 20, 56, 0, -104, -8, -328, -8, 64, 56, 56, 56, 36, -8, 56, 56, -104, -8, -328, -8, -104, -104, 56, -8, 456, 20, -104, 56, -104, -8, -104, 56, -104, 56, 56, -8, 344, -8, 56, -104, 56, 56

Offset: 1

Author

Ilya Gutkovskiy, Dec 13 2020

Keywords

• sign

Crossrefs

Cf. A000731, A114592, A339323, A339701, A339702, A339703, A339704, A339705, A339706.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339323(n/d) * a(d).

a(p^k) = A000731(k) for prime p.