A339718 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^3.

1, -3, -3, 3, -3, 6, -3, -4, 3, 6, -3, -3, -3, 6, 6, 9, -3, -3, -3, -3, 6, 6, -3, 9, 3, 6, -4, -3, -3, -3, -3, -12, 6, 6, 6, 3, -3, 6, 6, 9, -3, -3, -3, -3, -3, 6, -3, -18, 3, -3, 6, -3, -3, 9, 6, 9, 6, 6, -3, -3, -3, 6, -3, 15, 6, -3, -3, -3, 6, -3, -3, -15, -3, 6, -3, -3, 6, -3, -3, -18

Offset

1,2

Links

Table of n, a(n) for n=1..80.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339335(n/d) * a(d).

a(p^k) = A022598(k) for prime p.

Crossrefs

Cf. A022598, A316441, A339335, A339717, A339719, A339720, A339721, A339722.

Sequence in context: A196186 A075753 A006166 * A349926 A268443 A142716

Adjacent sequences: A339715 A339716 A339717 * A339719 A339720 A339721

Keyword

sign

Author

Ilya Gutkovskiy, Dec 14 2020

Status

approved