The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A339701 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A339701

Dirichlet g.f.: Product_{k>=2} (1 - k^(-s))^2.
(history; published version)

#5 by Susanna Cuyler at Mon Dec 14 10:28:26 EST 2020

STATUS

proposed

approved

#4 by Ilya Gutkovskiy at Sun Dec 13 11:33:49 EST 2020

STATUS

editing

proposed

#3 by Ilya Gutkovskiy at Sun Dec 13 10:46:43 EST 2020

CROSSREFS

Cf. A002107, A114592, A301830, A339702, A339703, A339704, A339705, A339706, A339707.

#2 by Ilya Gutkovskiy at Sun Dec 13 10:26:35 EST 2020

NAME

allocated for Ilya Gutkovskiy

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

DATA

1, -2, -2, -1, -2, 2, -2, 2, -1, 2, -2, 4, -2, 2, 2, 1, -2, 4, -2, 4, 2, 2, -2, 0, -1, 2, 2, 4, -2, 2, -2, 2, 2, 2, 2, 0, -2, 2, 2, 0, -2, 2, -2, 4, 4, 2, -2, -2, -1, 4, 2, 4, -2, 0, 2, 0, 2, 2, -2, -4, -2, 2, 4, -2, 2, 2, -2, 4, 2, 2, -2, -4, -2, 2, 4, 4, 2, 2, -2, -2

OFFSET

1,2

FORMULA

a(1) = 1; a(n) = -Sum_{d|n, d < n} A301830(n/d) * a(d).

a(n) = Sum_{d|n} A114592(n/d) * A114592(d).

a(p^k) = A002107(k) for prime p.

CROSSREFS

Cf. A002107, A114592, A301830.

KEYWORD

allocated

sign

AUTHOR

Ilya Gutkovskiy, Dec 13 2020

STATUS

approved

editing

#1 by Ilya Gutkovskiy at Sun Dec 13 10:26:35 EST 2020

NAME

allocated for Ilya Gutkovskiy

KEYWORD

allocated

STATUS

approved