A339719 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A339719

Dirichlet g.f.: Product_{k>=2} 1 / (1 + k^(-s))^4.

1, -4, -4, 6, -4, 12, -4, -8, 6, 12, -4, -12, -4, 12, 12, 17, -4, -12, -4, -12, 12, 12, -4, 20, 6, 12, -8, -12, -4, -20, -4, -28, 12, 12, 12, 10, -4, 12, 12, 20, -4, -20, -4, -12, -12, 12, -4, -48, 6, -12, 12, -12, -4, 20, 12, 20, 12, 12, -4, 4, -4, 12, -12, 38, 12, -20, -4, -12, 12, -20

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..70.

FORMULA

a(1) = 1; a(n) = -Sum_{d|n, d < n} A339336(n/d) * a(d).

a(p^k) = A022599(k) for prime p.

CROSSREFS

Cf. A022599, A316441, A339336, A339717, A339718, A339720, A339721, A339722.

Sequence in context: A204068 A066560 A205031 * A276683 A247343 A071256

Adjacent sequences: A339716 A339717 A339718 * A339720 A339721 A339722

KEYWORD

sign

AUTHOR

Ilya Gutkovskiy, Dec 14 2020

STATUS

approved