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A086703
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Continued fraction expansion of Levy's constant.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 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
| Paul Levy, Theorie de l'addition des variables aleatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316-320
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LINKS
| S. R. Finch, Khintchine's constant.
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FORMULA
| L=exp(Pi^2/12/log(2))=3.27582291872181115978768...
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CROSSREFS
| Cf. A002210, A002211.
Sequence in context: A127197 A114231 A079075 * A072917 A114266 A135910
Adjacent sequences: A086700 A086701 A086702 * A086704 A086705 A086706
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KEYWORD
| cofr,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 28 2003
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