A339735 - OEIS

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A339735

Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^9.

1, -9, -9, 36, -9, 72, -9, -93, 36, 72, -9, -252, -9, 72, 72, 207, -9, -252, -9, -252, 72, 72, -9, 585, 36, 72, -93, -252, -9, -495, -9, -459, 72, 72, 72, 765, -9, 72, 72, 585, -9, -495, -9, -252, -252, 72, -9, -1278, 36, -252, 72, -252, -9, 585, 72, 585, 72, 72, -9, 1449

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OFFSET

1,2

LINKS

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

FORMULA

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339341(n/d) * a(d).

a(p^k) = A022604(k) for prime p.

CROSSREFS

Cf. A022604, A316441, A339341, A339717, A339718, A339719, A339720, A339721, A339722, A339734.

Sequence in context: A146447 A145954 A003874 * A341835 A097988 A103646

Adjacent sequences: A339732 A339733 A339734 * A339736 A339737 A339738

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Dec 14 2020

STATUS

approved