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A086703 Continued fraction expansion of Levy's constant. +0
1
3, 3, 1, 1, 1, 2, 29, 1, 130, 1, 12, 3, 8, 2, 4, 1, 3, 55, 2, 4, 2, 2, 1, 797, 1, 1, 6, 2, 4, 1, 13, 2, 1, 6, 1, 4, 2, 1, 9, 3, 2, 2, 2, 2, 4, 1, 2, 5, 1, 1, 1, 6, 2, 2, 1, 32, 1, 2, 1, 3, 2, 1, 15, 3, 1, 1, 1, 2, 1, 1, 105, 1, 79, 1, 4, 2, 3, 11, 1, 6, 1, 7, 2, 1, 3, 1, 9, 1, 4, 9, 1, 1, 3, 1, 1, 15, 1, 6 (list; graph; listen)
OFFSET

0,1

COMMENT

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

REFERENCES

Paul Levy, Theorie de l'addition des variables aleatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316-320

LINKS

S. R. Finch, Khintchine's constant.

FORMULA

L=exp(Pi^2/12/log(2))=3.27582291872181115978768...

CROSSREFS

Cf. A002210, A002211.

Sequence in context: A127197 A114231 A079075 this_sequence A072917 A114266 A135910

Adjacent sequences: A086700 A086701 A086702 this_sequence A086704 A086705 A086706

KEYWORD

cofr,nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 28 2003

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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