A339734 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^8.

1, -8, -8, 28, -8, 56, -8, -64, 28, 56, -8, -168, -8, 56, 56, 134, -8, -168, -8, -168, 56, 56, -8, 344, 28, 56, -64, -168, -8, -328, -8, -288, 56, 56, 56, 428, -8, 56, 56, 344, -8, -328, -8, -168, -168, 56, -8, -728, 28, -168, 56, -168, -8, 344, 56, 344, 56, 56, -8, 792

Offset

1,2

Links

Table of n, a(n) for n=1..60.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339340(n/d) * a(d).

a(p^k) = A007259(k) for prime p.

Crossrefs

Cf. A007259, A316441, A339340, A339717, A339718, A339719, A339720, A339721, A339722, A339735.

Sequence in context: A333625 A098360 A133038 * A341834 A255275 A253104

Adjacent sequences: A339731 A339732 A339733 * A339735 A339736 A339737

Keyword

sign

Author

Ilya Gutkovskiy, Dec 14 2020

Status

approved