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A057639 First differences of zero-sites (A028442) of Mertens's function A002321. 0

%I #5 Nov 10 2016 10:40:01

%S 37,1,18,7,28,8,44,4,1,9,1,3,1,2,48,17,1,3,1,2,16,75,2,1,1,20,2,1,2,4,

%T 1,1,2,27,8,2,1,1,2,1,5,1,5,1,2,1,1,1,2,1,109,4,66,1,27,1,1,144,4,8,2,

%U 1,2,13,1,2,9,1,1,24,1,3,16,8,6,1,2,3,4,2,1,2,5,1,2,4,3,2,1,3,1,82,3,5

%N First differences of zero-sites (A028442) of Mertens's function A002321.

%C The Mertens's-function (A002321) is oscillating. The width of its waves is given here.

%F a(n)=A028442(n+1)-A028442(n)

%t Differences[Position[Accumulate[Array[MoebiusMu,1500]],0]//Flatten] (* _Harvey P. Dale_, Nov 10 2016 *)

%Y Cf. A002321, A013928, A028442, A013940, A051400, A051401, A051402.

%K nonn

%O 0,1

%A _Labos Elemer_, Oct 11 2000

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