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A323363 Dirichlet inverse of Dedekind's psi, A001615. 9
1, -3, -4, 3, -6, 12, -8, -3, 4, 18, -12, -12, -14, 24, 24, 3, -18, -12, -20, -18, 32, 36, -24, 12, 6, 42, -4, -24, -30, -72, -32, -3, 48, 54, 48, 12, -38, 60, 56, 18, -42, -96, -44, -36, -24, 72, -48, -12, 8, -18, 72, -42, -54, 12, 72, 24, 80, 90, -60, 72, -62, 96, -32, 3, 84, -144, -68, -54, 96, -144, -72, -12, -74, 114, -24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

FORMULA

G.f. A(x) satisfies: A(x) = x - Sum_{k>=2} psi(k) * A(x^k). - Ilya Gutkovskiy, Sep 04 2019

PROG

(PARI)

A001615(n) = (n * sumdivmult(n, d, issquarefree(d)/d)); \\ From A001615

A323363(n) = if(1==n, 1, -sumdiv(n, d, if(d<n, A001615(n/d)*A323363(d), 0)));

CROSSREFS

Cf. A048250 (absolute values).

Cf. A001615, A323364, A323372.

Sequence in context: A324335 A238162 A048250 * A073181 A183100 A046897

Adjacent sequences:  A323360 A323361 A323362 * A323364 A323365 A323366

KEYWORD

sign

AUTHOR

Antti Karttunen, Jan 13 2019

STATUS

approved

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Last modified January 19 06:34 EST 2020. Contains 331033 sequences. (Running on oeis4.)