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%I #14 Aug 12 2020 04:39:29
%S 1,0,5,0,0,9,1,1,5,0,0,9,4,8,2,2,1,0,0,1,7,5,7,9,1,6,9,1,6,5,7,9,3,8,
%T 5,9,5,3,4,0,4,4,6,1,1,3,7,4,9,2,8,6,9,0,3,3,2,6,0,3,0,5,7,2,3,2,0,4,
%U 7,3,3,6,9,3,0,2,8,4,0,0,6,3,7,4,8,2,8,2,7,9,7,8,0,8,6,1,6,7,6,3,8,9,0
%N Decimal expansion of Sum_{k>=1} (zeta(2k)/k)*(1/3)^(2k).
%D H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier Insights (2011) p. 272.
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/RiemannZetaFunction.html">Riemann Zeta Function</a>
%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function">Riemann Zeta Function</a>
%F Equals log(Gamma(3/4)*Gamma(5/4)).
%F Equals log(Pi/(2*sqrt(2))).
%F Equals -Sum_{k>=1} log(1 - 1/(4*k)^2). - _Amiram Eldar_, Aug 12 2020
%e 0.1050091150094822100175791691657938595340446113749286903326...
%t RealDigits[Log[Pi/(2*Sqrt[2])], 10, 103] // First
%Y Cf. A068465, A068467, A093954, A256930.
%K nonn,cons,easy
%O 0,3
%A _Jean-François Alcover_, Apr 13 2015
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