A339702 - OEIS

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A339702

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

8

1, -3, -3, 0, -3, 6, -3, 5, 0, 6, -3, 6, -3, 6, 6, 0, -3, 6, -3, 6, 6, 6, -3, -9, 0, 6, 5, 6, -3, -3, -3, 0, 6, 6, 6, -9, -3, 6, 6, -9, -3, -3, -3, 6, 6, 6, -3, -9, 0, 6, 6, 6, -3, -9, 6, -9, 6, 6, -3, -21, -3, 6, 6, -7, 6, -3, -3, 6, 6, -3, -3, -12, -3, 6, 6, 6, 6, -3, -3, -9

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OFFSET

1,2

LINKS

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

FORMULA

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339318(n/d) * a(d).

a(p^k) = A010816(k) for prime p.

CROSSREFS

Cf. A010816, A114592, A339318, A339701, A339703, A339704, A339705, A339706, A339707.

Sequence in context: A330013 A128164 A376032 * A260636 A245256 A347149

Adjacent sequences: A339699 A339700 A339701 * A339703 A339704 A339705

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Dec 13 2020

STATUS

approved