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%I #5 Jul 11 2014 14:48:58
%S 9,4,6,8,4,5,6,0,5,2,6,9,7,0,6,1,1,3,8,7,3,3,6,7,8,8,4,5,1,3,3,4,1,9,
%T 3,1,6,3,9,5,6,9,3,5,6,7,9,8,8,9,7,2,0,5,0,0,5,5,3,7,4,9,8,4,4,1,0,3,
%U 1,7,2,0,8,8,9,0,3,1,2,2,0,3,7,7,7,0,2,9,5,2,8,9,1,1,3,7,8,7,4,0,2,1,4
%N Decimal expansion of the local minimum of the Barnes G function in the interval [2,4].
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/BarnesG-Function.html">Barnes G-Function</a>
%F G(x2), with x2 = A245083.
%e 0.94684560526970611387336788451334193163956935679889720500553749844103172...
%t digits = 102; x2 = x /. FindRoot[3 - 2*x + Log[2*Pi] + 2*(x-1)*PolyGamma[x-1] == 0, {x, 3}, WorkingPrecision -> digits+10]; RealDigits[BarnesG[x2], 10, digits] // First
%Y Cf. A245081, A245082, A245083.
%K nonn,cons,easy
%O 0,1
%A _Jean-François Alcover_, Jul 11 2014
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