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%I #6 Jun 25 2014 08:33:04
%S 2,9,9,0,4,7,0,3,9,9,3,7,1,9,0,4,7,9,8,7,7,8,2,7,5,1,6,9,4,2,0,6,3,1,
%T 0,3,9,8,8,5,3,7,7,6,9,9,9,3,0,1,0,9,3,5,5,0,5,9,0,3,6,9,2,3,2,2,5,4,
%U 0,6,1,0,2,1,1,9,8,6,7,9,5,6,8,7,1,6,5,8,1,9,7,5,6,4,8,1,1,0,1,1
%N Decimal expansion of B, a constant related to the Goh-Schmutz constant and the asymptotic expected order of a random permutation.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.4.1 Symmetric Group, p. 287.
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/Goh-SchmutzConstant.html">Goh-Schmutz Constant</a>
%F B = 2*sqrt(2*b), with b = A143300 = Goh-Schmutz constant = integral_(0..infinity) log(1 + t)/(e^t - 1) dt = 1.11786...
%e B = 2.99047039937190479877827516942...
%t b = NIntegrate[Log[1 + t]/(E^t - 1), {t, 0, Infinity}, WorkingPrecision -> 100]; B = 2*Sqrt[2*b]; RealDigits[B] // First
%Y Cf. A143300.
%K nonn,cons
%O 1,1
%A _Jean-François Alcover_, Jun 25 2014
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