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%I #21 Feb 14 2019 14:23:26
%S 0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,1,-1,0,0,1,-1,0,0,0,1,-1,1,-1,
%T 0,0,0,1,-1,0,1,-1,0,1,-1,0,0,0,1,0,-1,0,1,-1,0,0,1,-1,0,1,0,-1,0,0,0,
%U 1,-1,1,-1,1,-1,0,1,-1,0,1,-1,1,-1,1,-1,0,1,-1,1,-1,0,1,0,-1,0,0,1,-1,1,0,-1,0,1,-1,0,1,-1,1,-1,1,-1,1,-1,0,0,2,-2,0,1,-1,1,-1,1,-1,0,1,0,-1,1,-1,0,1,-1
%N Second differences of argument(Zeta(1/2 + n*I))/Pi.
%C The result is rounded to the nearest integer. Values are very close to integers, almost exactly where the nontrivial zeros of the Zeta function occur.
%H Simon Plouffe, <a href="https://arxiv.org/abs/1310.7195">On the values of the zeta and gamma function</a>, arXiv:1310.7195 [math.NT], 2013.
%t Table[Arg[Zeta[1/2 + n I]]/Pi, {n, 1, 129}] // Differences[#, 2]& // Round (* _Jean-François Alcover_, Feb 14 2019 *)
%K sign
%O 1,110
%A _Simon Plouffe_, Sep 03 2017
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