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A244345 Decimal expansion of xi_3 = 5*G, the volume of an ideal hyperbolic cube, where G is Gieseking's constant. 0

%I #5 Jun 26 2014 12:55:17

%S 5,0,7,4,7,0,8,0,3,2,0,4,8,2,6,8,1,2,5,1,0,6,0,1,2,7,7,1,3,7,2,6,0,1,

%T 4,2,9,7,0,8,4,4,6,5,3,7,6,5,1,4,9,8,9,6,0,0,8,7,4,4,5,5,3,3,8,8,2,9,

%U 8,7,3,8,1,2,9,1,2,2,0,1,1,0,6,8,2,3,5,1,7,7,1,1,4,1,2,8,3,4,7,4,7,2,9,3

%N Decimal expansion of xi_3 = 5*G, the volume of an ideal hyperbolic cube, where G is Gieseking's constant.

%D Steven R. Finch, Mathematical Constants, Cambridge, 2003, Section 8.9 Hyperbolic Volume Constants p. 512.

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/GiesekingsConstant.html">Gieseking's Constant</a>

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/PolygammaFunction.html">Polygamma Function</a>

%F 5*(9 - Polygamma(1, 2/3) + Polygamma(1, 4/3)) / (4*sqrt(3)).

%e 5.0747080320482681251060127713726...

%t G = (9 - PolyGamma[1, 2/3] + PolyGamma[1, 4/3])/(4*Sqrt[3]); RealDigits[5*G, 10, 104] // First

%Y Cf. A143298, A242710.

%K nonn,cons

%O 1,1

%A _Jean-François Alcover_, Jun 26 2014

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