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A087016 Decimal expansion of G(3/2), where G is the Barnes G-function.

%I A087016 #13 Jul 24 2025 12:25:25
%S A087016 1,0,6,9,2,2,2,6,4,9,2,6,6,4,1,2,9,4,9,5,4,3,0,0,8,8,7,8,6,9,7,8,9,1,
%T A087016 6,0,4,6,5,2,7,6,1,6,3,5,6,0,6,8,3,3,1,3,6,5,9,5,5,7,7,5,6,2,9,2,1,8,
%U A087016 0,9,3,5,5,4,3,9,1,6,7,3,9,5,0,2,6,5,3,1,2,2,2,7,1,9,2,2,5,3,8,4,3,0
%N A087016 Decimal expansion of G(3/2), where G is the Barnes G-function.
%H A087016 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BarnesG-Function.html">Barnes G-Function</a>
%H A087016 Wikipedia, <a href="https://en.wikipedia.org/wiki/Barnes_G-function">Barnes G-function</a>
%F A087016 Equals A087014 * A002161. - _R. J. Mathar_, Jul 24 2025
%e A087016 1.0692...
%t A087016 (2^(1/24)*E^(1/8)*Pi^(1/4))/Glaisher^(3/2)
%t A087016 (* Or, since version 7.0, *) RealDigits[BarnesG[3/2], 10, 102] // First (* _Jean-François Alcover_, Jul 11 2014 *)
%o A087016 (PARI) 2^(1/24)*Pi^(1/4)*exp(3/2*zeta'(-1)) \\ _Charles R Greathouse IV_, Dec 12 2013
%Y A087016 Cf. A087013, A087014, A087015, A087017.
%K A087016 nonn,cons
%O A087016 1,3
%A A087016 _Eric W. Weisstein_, Jul 30 2003