A339720 Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^5.

1, -5, -5, 10, -5, 20, -5, -15, 10, 20, -5, -30, -5, 20, 20, 30, -5, -30, -5, -30, 20, 20, -5, 45, 10, 20, -15, -30, -5, -55, -5, -56, 20, 20, 20, 35, -5, 20, 20, 45, -5, -55, -5, -30, -30, 20, -5, -105, 10, -30, 20, -30, -5, 45, 20, 45, 20, 20, -5, 45, -5, 20, -30, 85, 20

Offset

1,2

Links

Table of n, a(n) for n=1..65.

Formula

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339337(n/d) * a(d).

a(p^k) = A022600(k) for prime p.

Crossrefs

Cf. A022600, A316441, A339337, A339717, A339718, A339719, A339721, A339722.

Sequence in context: A078560 A331064 A040021 * A341831 A360996 A003882

Adjacent sequences: A339717 A339718 A339719 * A339721 A339722 A339723

Keyword

sign

Author

Ilya Gutkovskiy, Dec 14 2020

Status

approved