|
%I #9 Apr 13 2015 12:07:31
%S 1,2,0,3,6,2,1,4,0,3,6,7,7,5,9,1,9,0,1,4,1,2,8,2,4,4,0,6,0,8,8,3,1,9,
%T 5,6,4,1,8,1,5,3,5,1,6,9,1,9,7,6,7,8,1,4,2,0,6,7,2,9,7,3,9,0,8,6,9,5,
%U 4,1,6,3,0,1,4,8,8,9,2,9,7,3,2,4,8,4,4,4,0,3,4,5,9,4,5,9,3,7,6,5,1,7,6,9,7,7,6
%N Decimal expansion of Sum_{k>=1} (zeta(2k)/k)*(2/3)^(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 log(Gamma(1/4)*Gamma(7/4)).
%F Equals log(3*Pi/(2*sqrt(2))).
%e 1.2036214036775919014128244060883195641815351691976781420672...
%t RealDigits[Log[3*Pi/(2*Sqrt[2])], 10, 107] // First
%o (PARI) log(3*Pi/(2*sqrt(2))) \\ _Michel Marcus_, Apr 13 2015
%Y Cf. A068466, A203130, A256929.
%K nonn,cons,easy
%O 1,2
%A _Jean-François Alcover_, Apr 13 2015
|
