A247039 - OEIS

A247039

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

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, 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, 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

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OFFSET

1,1

REFERENCES

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

LINKS

Table of n, a(n) for n=1..100.

Eric Weisstein's MathWorld, Lévy's Constant

FORMULA

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

EXAMPLE

5.524307970250928960862705875440829377563102903328419237...