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A087017 Decimal expansion of G(5/2) where G is the Barnes G-function.

%I A087017 #13 Jul 24 2025 12:23:11
%S A087017 9,4,7,5,7,3,9,0,1,0,8,3,8,2,5,7,7,6,8,8,4,1,5,2,9,8,6,3,5,3,4,5,8,0,
%T A087017 6,4,3,7,6,4,1,0,2,6,2,7,2,4,3,1,3,3,4,2,2,4,0,2,6,9,8,4,9,8,5,7,6,6,
%U A087017 1,2,3,2,6,3,2,6,9,6,9,9,2,9,5,9,9,8,3,0,4,3,9,4,4,9,3,5,8,6,2,7,5,8
%N A087017 Decimal expansion of G(5/2) where G is the Barnes G-function.
%H A087017 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BarnesG-Function.html">Barnes G-Function</a>
%H A087017 Wikipedia, <a href="https://en.wikipedia.org/wiki/Barnes_G-function">Barnes G-function</a>
%F A087017 Equals A087016 * A019704. - _R. J. Mathar_, Jul 24 2025
%e A087017 0.94757...
%t A087017 (E^(1/8)*Pi^(3/4))/(2^(23/24)*Glaisher^(3/2))
%t A087017 (* Or, since version 7.0, *) RealDigits[BarnesG[5/2], 10, 102] // First (* _Jean-François Alcover_, Jul 11 2014 *)
%o A087017 (PARI) Pi^(3/4)*exp(3/2*zeta'(-1))/2^(23/24) \\ _Charles R Greathouse IV_, Dec 12 2013
%Y A087017 Cf. A087013, A087014, A087015, A087016.
%K A087017 nonn,cons
%O A087017 0,1
%A A087017 _Eric W. Weisstein_, Jul 30 2003