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%I #37 May 06 2023 00:43:35
%S 0,29,649,10142,138069,1747146,21136125,248008025,2846548032,
%T 32130158315,357948363084,3945951430271,43124192297102,
%U 467888702914983,5045354828589535,54118226280292478
%N Number of (nontrivial) zeros of zeta(z) with 0 < Im(z) < 10^n.
%C a(n) ~ A259506(10^n). - _Arkadiusz Wesolowski_, Nov 08 2015
%H LMFDB base, <a href="https://www.lmfdb.org/zeros/zeta/">Zeros of zeta(s)</a> (computed by David Platt).
%H Andrew Odlyzko, <a href="https://www-users.cse.umn.edu/~odlyzko/zeta_tables/">Tables of zeros of the Riemann zeta function</a>
%H Mathematics StackExchange user Rudolph, <a href="https://math.stackexchange.com/questions/2969120/">Does this contour integral actually count the roots of zeta(s) with imaginary part <T?</a>, 2018. [Gives a(17)-a(20) as 577829042746896155, 6144758226908675407, 65112260263483892774, 687769382578810314775.]
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RiemannZetaFunctionZeros.html">Riemann Zeta Function Zeros</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Xi-Function.html">Xi-Function</a>
%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>.
%o (PARI) a(n)=#lfunzeros(lzeta,10^n) \\ _Charles R Greathouse IV_, Mar 10 2016
%K nonn,more
%O 1,2
%A _Eric W. Weisstein_, Jun 13 2002
%E More terms from Andrew Odlyzko, Jun 14 2002
%E a(7)-a(11) based on LMFDB data from _Artur Jasinski_, Jan 03 2020
%E a(11) corrected based on LMFDB data by _Charles R Greathouse IV_, Aug 23 2022
%E a(12)-a(16) added by _Fredrik Johansson_, May 01 2023
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