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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<x<1/2. 0

%I #5 Sep 10 2014 09:18:03

%S 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 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 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 Decimal expansion of the analog of Lévy's constant in case of the nearest integer continued fraction of -1/2<x<1/2.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Sections 1.8 Khinchin-Lévy constants p. 62.

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

%F exp(Pi^2/(12*log(phi))), where phi is the golden ratio (1+sqrt(5))/2.

%e 5.524307970250928960862705875440829377563102903328419237...

%t RealDigits[Exp[Pi^2/(12*Log[GoldenRatio])], 10, 100] // First

%Y Cf. A086702.

%K nonn,cons,easy

%O 1,1

%A _Jean-François Alcover_, Sep 10 2014

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)