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A247039 Decimal expansion of the analog of Lévy's constant in case of the nearest integer continued fraction of -1/2

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%I A247039 #6 Feb 16 2025 08:33:23
%S A247039 5,5,2,4,3,0,7,9,7,0,2,5,0,9,2,8,9,6,0,8,6,2,7,0,5,8,7,5,4,4,0,8,2,9,
%T A247039 3,7,7,5,6,3,1,0,2,9,0,3,3,2,8,4,1,9,2,3,7,0,3,4,7,0,2,5,0,5,5,7,9,7,
%U A247039 8,2,3,6,5,8,1,3,2,0,0,3,8,5,7,7,4,3,5,8,4,8,0,2,9,6,7,7,5,7,9,6
%N A247039 Decimal expansion of the analog of Lévy's constant in case of the nearest integer continued fraction of -1/2<x<1/2.
%D A247039 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 1.8 Khinchin-Lévy constants p. 62.
%H A247039 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/LevyConstant.html">Lévy's Constant</a>
%F A247039 exp(Pi^2/(12*log(phi))), where phi is the golden ratio (1+sqrt(5))/2.
%e A247039 5.524307970250928960862705875440829377563102903328419237...
%t A247039 RealDigits[Exp[Pi^2/(12*Log[GoldenRatio])], 10, 100] // First
%Y A247039 Cf. A086702.
%K A247039 nonn,cons,easy
%O A247039 1,1
%A A247039 _Jean-François Alcover_, Sep 10 2014