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%I #10 Jun 06 2017 10:31:41
%S 2,3,7,0,5,1,0,2,5,2,0,9,6,0,0,2,8,6,5,8,5,5,6,9,5,0,4,6,7,6,4,0,8,5,
%T 7,1,9,4,0,1,7,6,9,1,6,2,3,6,9,7,8,1,3,1,8,6,3,2,3,8,2,6,4,5,8,9,6,8,
%U 3,1,0,6,2,3,1,4,3,1,6,5,3,1,1,8,4,1,4,5,3,3,9,9,3,8,5,7,3,3,6,9,4,3,3
%N Decimal expansion of rho(a,b), the cross-correlation coefficient of two sides of a random Gaussian triangle in three dimensions.
%C Coordinates are independent normally distributed random variables with mean 0 and variance 1.
%H Steven R. Finch, <a href="/A102519/a102519.pdf">Random Triangles</a>, January 21, 2010. [Cached copy, with permission of the author]
%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/GaussianTrianglePicking.html">Gaussian Triangle Picking</a>
%F rho = (-8 + 3*sqrt(3) + Pi)/(-8 + 3*Pi).
%e 0.237051025209600286585569504676408571940176916236978...
%t rho = (-8 + 3*Sqrt[3] + Pi)/(-8 + 3*Pi); RealDigits[rho, 10, 103] // First
%o (PARI) (sqrt(27)+Pi-8)/(3*Pi-8) \\ _Charles R Greathouse IV_, Apr 20 2016
%Y Cf. A102519, A102520, A102556, A102557, A102558, A102559, A249491, A249492.
%K nonn,cons,easy
%O 0,1
%A _Jean-François Alcover_, Oct 31 2014