A339704 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^5.

1, -5, -5, 5, -5, 20, -5, 10, 5, 20, -5, -5, -5, 20, 20, -15, -5, -5, -5, -5, 20, 20, -5, -55, 5, 20, 10, -5, -5, -55, -5, -6, 20, 20, 20, -45, -5, 20, 20, -55, -5, -55, -5, -5, -5, 20, -5, 20, 5, -5, 20, -5, -5, -55, 20, -55, 20, 20, -5, -55, -5, 20, -5, -5, 20, -55, -5, -5, 20, -55

Offset: 1

Author

Ilya Gutkovskiy, Dec 13 2020

Keywords

• sign

Crossrefs

Cf. A000728, A114592, A339320, A339701, A339702, A339703, A339705, A339706, A339707.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339320(n/d) * a(d).

a(p^k) = A000728(k) for prime p.