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%I #11 Jan 03 2021 14:18:06
%S 9,6,3,8,1,0,2,8,7,8,3,4,0,7,9,9,9,7,4,9,2,1,6,1,4,3,4,0,1,1,2,2,1,3,
%T 3,4,0,4,6,3,1,1,3,7,1,8,2,0,8,0,2,6,1,3,6,5,7,9,3,2,5,1,4,9,7,8,8,2,
%U 3,6,3,2,0,1,1,7,7,7,5,4,6,2,0,5,2,2,7,6,8,0,8,7,5,1,4,4,1,2,5,6,5,1,7,1,6
%N Decimal expansion of the limit when n -> infinity of the product Product_{k=1..2n} e^(1/4)*(1 - 1/(k+1))^((1/2)*k*(k+1)*(-1)^k).
%H J.-P. Allouche, <a href="http://arxiv.org/abs/1305.6247">A note on products involving zeta(3) and Catalan's constant.</a> arXiv:1305.6247v3 [math.NT]
%F exp(7*zeta(3)/(4*Pi^2) - 1/4).
%e 0.9638102878340799974921614340112213340463113718208026136579325...
%t RealDigits[Exp[7*Zeta[3]/(4*Pi^2) - 1/4] , 10, 105] // First
%Y Cf. A002117, A241992.
%K nonn,cons,easy
%O 0,1
%A _Jean-François Alcover_, Aug 11 2014
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