A339705 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^6.

1, -6, -6, 9, -6, 30, -6, 10, 9, 30, -6, -24, -6, 30, 30, -30, -6, -24, -6, -24, 30, 30, -6, -84, 9, 30, 10, -24, -6, -114, -6, 0, 30, 30, 30, -54, -6, 30, 30, -84, -6, -114, -6, -24, -24, 30, -6, 96, 9, -24, 30, -24, -6, -84, 30, -84, 30, 30, -6, -24, -6, 30, -24, 11, 30

Offset: 1

Author

Ilya Gutkovskiy, Dec 13 2020

Keywords

• sign

Crossrefs

Cf. A000729, A114592, A339321, A339701, A339702, A339703, A339704, A339706, A339707.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339321(n/d) * a(d).

a(p^k) = A000729(k) for prime p.