A339703 Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^4.

1, -4, -4, 2, -4, 12, -4, 8, 2, 12, -4, 4, -4, 12, 12, -5, -4, 4, -4, 4, 12, 12, -4, -28, 2, 12, 8, 4, -4, -20, -4, -4, 12, 12, 12, -26, -4, 12, 12, -28, -4, -20, -4, 4, 4, 12, -4, -8, 2, 4, 12, 4, -4, -28, 12, -28, 12, 12, -4, -44, -4, 12, 4, -10, 12, -20, -4, 4, 12, -20

Offset: 1

Author

Ilya Gutkovskiy, Dec 13 2020

Keywords

• sign

Crossrefs

Cf. A000727, A114592, A339319, A339701, A339702, A339704, A339705, A339706, A339707.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339319(n/d) * a(d).

a(p^k) = A000727(k) for prime p.