A339735 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^9.

1, -9, -9, 36, -9, 72, -9, -93, 36, 72, -9, -252, -9, 72, 72, 207, -9, -252, -9, -252, 72, 72, -9, 585, 36, 72, -93, -252, -9, -495, -9, -459, 72, 72, 72, 765, -9, 72, 72, 585, -9, -495, -9, -252, -252, 72, -9, -1278, 36, -252, 72, -252, -9, 585, 72, 585, 72, 72, -9, 1449

Offset: 1

Author

Ilya Gutkovskiy, Dec 14 2020

Keywords

• sign

Crossrefs

Cf. A022604, A316441, A339341, A339717, A339718, A339719, A339720, A339721, A339722, A339734.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339341(n/d) * a(d).

a(p^k) = A022604(k) for prime p.