%I
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,
%T 0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,
%U 1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0
%N Number of nontrivial zeros of the Riemann Zeta function in the interval 1/2+i[n,n+1).
%C It gives the number of zeros for each integer.
%C The average value is a(n) ~ log(n)/(2*Pi).
%H Simon Plouffe, <a href="/A234323/b234323.txt">a(n)from 1 to 1000000</a>
%H LMFDB David Platt's table of the zeros up to 103 billion <a href="http://www.lmfdb.org/zeros/zeta/"> Table of the first 103 billion zeros.
%H Simon Plouffe <a href="http://www.plouffe.fr/simon/OEIS/b234323.txt.gz"> Table for a(n) up to 2 billion: note the file is 25 gigabytes uncompressed </a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function_zeros">Riemann zeta function zeros</a>
%e First zero is at 14.134, therefore a(14) = 1, the second is at 21.022 therefore a(21) = 1, there are 2 zeros between 111 and 112, a(111) = 2.
%o (PARI) #lfunzeros(lzeta,[n,n+1]) \\ _Charles R Greathouse IV_, Mar 10 2016
%Y Cf. A013629, A002410.
%K nonn
%O 1
%A _Simon Plouffe_, Dec 23 2013
