A339720 - OEIS

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A339720

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

7

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

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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