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A245276 Decimal expansion of sum_{r in Z}(1/r^3) where Z is the set of all nontrivial zeros r of the Riemann zeta function.

%I A245276 #6 Feb 16 2025 08:33:23
%S A245276 0,0,0,1,1,1,1,5,8,2,3,1,4,5,2,1,0,5,9,2,2,7,6,2,6,6,8,2,3,8,9,1,4,5,
%T A245276 7,8,4,7,3,9,6,4,1,8,9,2,4,8,9,8,6,5,1,8,7,7,0,2,7,3,4,5,2,6,7,2,8,9,
%U A245276 1,2,1,3,0,0,0,6,2,6,2,4,0,2,2,6,6,8,2,9,8,1,0,0,3,4,8,1,3,6,6,9,9,4,1,8,0,1
%N A245276 Decimal expansion of sum_{r in Z}(1/r^3) where Z is the set of all nontrivial zeros r of the Riemann zeta function.
%D A245276 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.21 Stieltjes Constants, p. 168.
%H A245276 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/StieltjesConstants.html">Stieltjes Constants</a>
%H A245276 Wikipedia, <a href="http://en.wikipedia.org/wiki/Stieltjes_constants">Stieltjes constants</a>
%F A245276 -7*zeta(3)/8 + gamma^3 + 3*gamma*gamma(1) + 3/2*gamma(2) + 1, where gamma is Euler's constant and gamma(n) is the n-th Stieltjes constant.
%e A245276 -0.000111158231452105922762668238914578473964189248986518770273452672891213...
%t A245276 Join[{0, 0, 0}, RealDigits[-7*Zeta[3]/8 + EulerGamma^3 + 3*EulerGamma*StieltjesGamma[1] + 3/2*StieltjesGamma[2] + 1, 10, 103] // First]
%Y A245276 Cf. A074760, A195423, A245275.
%K A245276 nonn,cons
%O A245276 0,8
%A A245276 _Jean-François Alcover_, Jul 16 2014