

A086702


Decimal expansion of Lévy's constant.


7



3, 2, 7, 5, 8, 2, 2, 9, 1, 8, 7, 2, 1, 8, 1, 1, 1, 5, 9, 7, 8, 7, 6, 8, 1, 8, 8, 2, 4, 5, 3, 8, 4, 3, 8, 6, 3, 6, 0, 8, 4, 7, 5, 5, 2, 5, 9, 8, 2, 3, 7, 4, 1, 4, 9, 4, 0, 5, 1, 9, 8, 9, 2, 4, 1, 9, 0, 7, 2, 3, 2, 1, 5, 6, 4, 4, 9, 6, 0, 3, 5, 5, 1, 8, 1, 2, 7, 7, 5, 4, 0, 4, 7, 9, 1, 7, 4, 5, 2, 9, 4, 9, 2, 6, 9
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OFFSET

1,1


COMMENTS

Let P(k)/Q(k) denote the kth convergent of x. Then for almost all real values of x where x satisfies 0<x<1, lim(k>∞,Q(k)^(1/k)) = L.  Edited by Jared Kish, Oct 17 2014


REFERENCES

S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 5965
Paul Lévy, Théorie de l'addition des variables aléatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316320.


LINKS

Table of n, a(n) for n=1..105.
S. R. Finch, Khintchine's constant.
Simon Plouffe, The Levy constant
Eric Weisstein's World of Mathematics, Levy Constant
Eric Weisstein's World of Mathematics, Khinchin Constant
Eric Weisstein's World of Mathematics, Continued Fraction


FORMULA

L = exp(Pi^2/12/log(2)).


EXAMPLE

3.27582291872181115978768...


MATHEMATICA

RealDigits[E^(Pi^2/Log[4096]), 10, 111][[1]] (* Robert G. Wilson v, May 19 2004 *)


PROG

(PARI) exp(Pi^2/12/log(2)) \\ Michel Marcus, Apr 18 2015


CROSSREFS

Cf. A002210.
Sequence in context: A059894 A126314 A200714 * A156140 A069888 A073281
Adjacent sequences: A086699 A086700 A086701 * A086703 A086704 A086705


KEYWORD

cons,nonn


AUTHOR

Benoit Cloitre, Jul 28 2003


EXTENSIONS

Offset corrected by R. J. Mathar, Feb 05 2009


STATUS

approved



