This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A080323 #24 May 17 2025 05:43:17 %S A080323 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 A080323 -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 A080323 -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 A080323 a(n) = mu(n)^n, where mu is the Moebius function (A008683). %C A080323 Not multiplicative: a(2)*a(3) <> a(6), for example. - _R. J. Mathar_, Mar 31 2012 %H A080323 Antti Karttunen, <a href="/A080323/b080323.txt">Table of n, a(n) for n = 1..16385</a> %F A080323 a(A056912(n)) < 0; a(A080324(n)) > 0. %F A080323 a(n) = A379966(n) - A099991(n). - _Amiram Eldar_, May 17 2025 %t A080323 Table[MoebiusMu[n]^n,{n,100}] (* _Harvey P. Dale_, Sep 09 2019 *) %o A080323 (Magma) [ MoebiusMu(n)^n : n in [1..100]]; %o A080323 (PARI) a(n) = moebius(n)^n; \\ _Michel Marcus_, Sep 14 2017 %Y A080323 Cf. A008683, A008966 (gives the absolute values), A056912, A080324, A099991, A379966. %K A080323 sign,easy %O A080323 1,1 %A A080323 _Reinhard Zumkeller_, Feb 14 2003