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%I #18 Apr 10 2016 12:16:18
%S 5,0,6,8,4,7,0,1,7,1,6,7,5,6,9,0,8,1,9,2,3,6,7,7,7,2,0,3,4,7,5,1,9,6,
%T 7,5,2,6,2,0,0,3,5,0,7,0,7,4,0,1,0,7,5,1,2,3,4,2,1,5,2,3,3,6,1,7,0,8,
%U 3,3,8,1,6,3,9,4,1,5,7,4,9,9,4,9,6,3,7,9,2,6,3,9,2,3,4,3,5,5,9,0,3,8,7,4,5
%N Decimal expansion of the negated imaginary part of the derivative of the Riemann function zeta(z) at z=i, the imaginary unit.
%C The corresponding real part of zeta'(i) is in A271521.
%H Stanislav Sykora, <a href="/A271522/b271522.txt">Table of n, a(n) for n = 0..2000</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RiemannZetaFunction.html">Riemann Zeta Function</a>
%e -0.5068470171675690819236777203475196752620035070740107512342152336170...
%t RealDigits[Im[Zeta'[I]],10,120][[1]] (* _Vaclav Kotesovec_, Apr 10 2016 *)
%o (PARI) -imag(zeta'(I)) \\ With realprecision=2100, it takes a few minutes
%Y Cf. A084448 (-zeta'(-1)), A179311 (real(zeta(i))), A179836 (imag(-zeta(i))), A271521 (real(zeta'(i))).
%K nonn,cons
%O 0,1
%A _Stanislav Sykora_, Apr 09 2016
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