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A080323
a(n) = mu(n)^n, where mu is the Moebius function (A008683).
5
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
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
KEYWORD
sign
AUTHOR
Reinhard Zumkeller, Feb 14 2003
STATUS
approved