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%I #29 Nov 23 2018 10:07:44
%S 2,5,0,1,0,8,5,7,5,8,0,1,4,5,6,8,8,7,6,3,2,1,3,7,9,0,9,9,2,5,6,2,8,2,
%T 1,8,1,8,6,5,9,5,4,9,6,7,2,5,5,7,9,9,6,6,7,2,4,9,6,5,4,2,0,0,6,7,4,5,
%U 0,9,2,0,9,8,4,4,1,6,4,4,2,7,7,8,4,0,2,3,8,2,2,4,5,5,8,0,6,2,4
%N Decimal expansion of imaginary part of 3rd nontrivial zero of Riemann zeta function.
%C See A002410 and A058303 for more information.
%H G. C. Greubel, <a href="/A065452/b065452.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 * 25.01085758014568876321379099256282181865954967...
%t ZetaZero[3] // Im // RealDigits[#, 10, 99]& // First (* _Jean-François Alcover_, Mar 05 2013 *)
%o (PARI) solve(x=25,25.1,real(zeta(1/2+x*I))) \\ _Charles R Greathouse IV_, Jun 30 2011
%o (PARI) lfunzeros(1,[25,26])[1] \\ or: lfunzeros(1,26)[3]. - _M. F. Hasler_, Nov 23 2018
%Y Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3: this), A065453 (k=4), A192492 (k=5), A305741 (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).
%Y Cf. A002410 (these values rounded to nearest integer), A013629 (floor), A092783 (ceiling).
%K nonn,cons
%O 2,1
%A _N. J. A. Sloane_, Nov 24 2001
%E Minor edits by _M. F. Hasler_, Nov 23 2018
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