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%I #15 Sep 06 2020 03:46:33
%S -1,-1,0,0,1,1,2,2,2,2,3,3,4,4,3,3,4,4,5,5,4,4,5,5,5,5,5,5,6,6,7,7,6,
%T 6,5,5,6,6,5,5,6,6,7,7,7,7,8,8,8,8,7,7,8,8,7,7,6,6,7,7,8,8,8,8,7,7,8,
%U 8,7,7,8,8,9,9,9,9,8,8,9,9,9,9,10,10,9,9,8,8,9,9,8,8,7,7,6,6,7,7,7,7,8,8,9,9
%N a(n) = Sum_{k=1..n} mu(2*k).
%C After a(2)=-1, the next negative value is a(8511)=-1.
%C Observation: It seems that Sum_{k=1..n} a(k) is usually close to n*log(n)*log(log(n)). Is Sum_{k=1..n} a(k) asymptotic to C*n*log(n)*log(log(n)) for some C near 1?
%H Amiram Eldar, <a href="/A073578/b073578.txt">Table of n, a(n) for n = 1..10000</a>
%t Accumulate[MoebiusMu[2Range[110]]] (* _Harvey P. Dale_, Apr 30 2012 *)
%Y Cf. A008683.
%K easy,sign
%O 1,7
%A _Benoit Cloitre_, Aug 28 2002
%E Edited by _Dean Hickerson_, Sep 04 2002
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