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a(n) = mu(n)^n, where mu is the Moebius function (A008683).
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%I #18 Sep 08 2022 08:45:09

%S 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,

%T -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,

%U -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

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

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

%C Not multiplicative: a(2)*a(3) <> a(6), for example. - _R. J. Mathar_, Mar 31 2012

%H Antti Karttunen, <a href="/A080323/b080323.txt">Table of n, a(n) for n = 1..16385</a>

%t Table[MoebiusMu[n]^n,{n,100}] (* _Harvey P. Dale_, Sep 09 2019 *)

%o (Magma) [ MoebiusMu(n)^n : n in [1..100]];

%o (PARI) a(n) = moebius(n)^n; \\ _Michel Marcus_, Sep 14 2017

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

%K sign

%O 1,1

%A _Reinhard Zumkeller_, Feb 14 2003