A080323 a(n) = mu(n)^n, where mu is the Moebius function (A008683).

1, 1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, 1, 0, -1, 0, -1, 0, 1, 1, -1, 0, 0, 1, 0, 0, -1, 1, -1, 0, 1, 1, 1, 0, -1, 1, 1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 1, 1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 1, 1, -1, 0, -1, 1, 0, 0, 1, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1, 0, -1, 0, 1, 0, 1, 1, 1, 0, -1, 0, 0, 0

Offset

1,1

Comments

a(A056912(n)) < 0; a(A080324(n)) > 0.

Not multiplicative: a(2)*a(3) <> a(6), for example. - R. J. Mathar, Mar 31 2012

Links

Antti Karttunen, Table of n, a(n) for n = 1..16385

Mathematica

Table[MoebiusMu[n]^n, {n, 100}] (* Harvey P. Dale, Sep 09 2019 *)

Prog

(Magma) [ MoebiusMu(n)^n : n in [1..100]];
(PARI) a(n) = moebius(n)^n; \\ Michel Marcus, Sep 14 2017

Crossrefs

Cf. A008683, A008966 (gives the absolute values), A056912, A080324.

Sequence in context: A302050 A008683 A008966 * A157657 A359155 A069158

Adjacent sequences: A080320 A080321 A080322 * A080324 A080325 A080326

Keyword

sign

Author

Reinhard Zumkeller, Feb 14 2003

Status

approved