A339721 - OEIS

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A339721

Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^6.

7

1, -6, -6, 15, -6, 30, -6, -26, 15, 30, -6, -60, -6, 30, 30, 51, -6, -60, -6, -60, 30, 30, -6, 96, 15, 30, -26, -60, -6, -114, -6, -102, 30, 30, 30, 96, -6, 30, 30, 96, -6, -114, -6, -60, -60, 30, -6, -210, 15, -60, 30, -60, -6, 96, 30, 96, 30, 30, -6, 156, -6, 30, -60, 172, 30

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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} A339338(n/d) * a(d).

a(p^k) = A022601(k) for prime p.

CROSSREFS

Cf. A022601, A316441, A339338, A339717, A339718, A339719, A339720, A339722.

Sequence in context: A315807 A315808 A110626 * A341832 A072695 A356574

Adjacent sequences: A339718 A339719 A339720 * A339722 A339723 A339724

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Dec 14 2020

STATUS

approved