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A086702
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Decimal expansion of Levy's constant.
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3
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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
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1,1
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COMMENTS
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let P(k)/Q(k) denotes the k-th convergent of x, then for almost real value 0<x<1 limit k ->oo Q(k)^(1/k) = L
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REFERENCES
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Paul Levy, Theorie de l'addition des variables aleatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316-320
S. R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, pp. 59-65
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LINKS
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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, Khinchin-Levy Constant
Eric Weisstein's World of Mathematics, Khinchin Constant
Eric Weisstein's World of Mathematics, Continued Fraction
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FORMULA
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L=exp(Pi^2/12/log(2))=3.27582291872181115978768...
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MATHEMATICA
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RealDigits[E^(Pi^2/Log[4096]), 10, 111][[1]] (from Robert G. Wilson v May 19 2004)
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CROSSREFS
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Cf. A002210.
Sequence in context: A059894 A126314 A200714 * A156140 A069888 A073281
Adjacent sequences: A086699 A086700 A086701 * A086703 A086704 A086705
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KEYWORD
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cons,nonn
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AUTHOR
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Benoit Cloitre, Jul 28 2003
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EXTENSIONS
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Offset corrected by R. J. Mathar, Feb 05 2009
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STATUS
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approved
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