A339716 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^9.

1, -9, -9, 27, -9, 72, -9, -12, 27, 72, -9, -171, -9, 72, 72, -90, -9, -171, -9, -171, 72, 72, -9, -63, 27, 72, -12, -171, -9, -495, -9, 135, 72, 72, 72, 189, -9, 72, 72, -63, -9, -495, -9, -171, -171, 72, -9, 747, 27, -171, 72, -171, -9, -63, 72, -63, 72, 72, -9, 801

Offset: 1

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

• sign

Crossrefs

Cf. A010817, A114592, A339324, A339701, A339702, A339703, A339704, A339705, A339706, A339707.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339324(n/d) * a(d).

a(p^k) = A010817(k) for prime p.