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%I #26 Nov 23 2018 09:17:45
%S 3,0,4,2,4,8,7,6,1,2,5,8,5,9,5,1,3,2,1,0,3,1,1,8,9,7,5,3,0,5,8,4,0,9,
%T 1,3,2,0,1,8,1,5,6,0,0,2,3,7,1,5,4,4,0,1,8,0,9,6,2,1,4,6,0,3,6,9,9,3,
%U 3,2,9,3,8,9,3,3,3,2,7,7,9,2,0,2,9,0,5,8,4,2,9,3,9,0,2,0,8,9,1
%N Decimal expansion of imaginary part of 4th nontrivial zero of Riemann zeta function.
%C See A002410 and A058303 for more information.
%H G. C. Greubel, <a href="/A065453/b065453.txt">Table of n, a(n) for n = 2..10000</a>
%H Andrew M. Odlyzko, <a href="http://www.plouffe.fr/simon/constants/zeta100.html">The first 100 (non trivial) zeros of the Riemann Zeta function, to over 1000 decimal digits each</a>, AT&T Labs - Research.
%H Andrew M. Odlyzko, <a href="http://www.dtc.umn.edu/~odlyzko/zeta_tables/index.html">Tables of zeros of the Riemann zeta function</a>
%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>.
%e The zero is at 1/2 + i * 30.42487612585951321031189753058409132...
%t RealDigits[ Im[ ZetaZero[4]], 10, 99] // First (* _Jean-François Alcover_, Mar 07 2013 *)
%o (PARI) solve(x=30,31,real(zeta(1/2+x*I))) \\ _Charles R Greathouse IV_, Mar 10 2016
%o (PARI) lfunzeros(lzeta,[30,31])[1] \\ _Charles R Greathouse IV_, Mar 10 2016
%Y Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4: this), A192492 (k=5), A305741 (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).
%Y Cf. A002410 (round), A013629 (floor), A092783 (ceiling).
%K nonn,cons
%O 2,1
%A _N. J. A. Sloane_, Nov 24 2001
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