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 A086703 Continued fraction expansion of Levy's constant. 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; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Let P(k)/Q(k) denote the k-th convergent of x, then for almost all real values 0 < x < 1 we have limit k -> infinity Q(k)^(1/k) = L. REFERENCES Paul Lévy, Théorie de l'addition des variables aléatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316-320. LINKS Patrick McKinley, Table of n, a(n) for n = 0..20298 (computed using bc with scale of 20806, Mar 02 2013) Steven R. Finch, Khintchine's Constant [Broken link] Steven R. Finch, Khintchine's Constant [From the Wayback machine] FORMULA L = exp(Pi^2/12/log(2)) = 3.27582291872181115978768... PROG (PARI) contfrac(exp(Pi^2/12/log(2))) \\ Charles R Greathouse IV, Mar 06 2013 CROSSREFS Cf. A002210, A002211. Sequence in context: A127197 A114231 A079075 * A242849 A072917 A319861 Adjacent sequences:  A086700 A086701 A086702 * A086704 A086705 A086706 KEYWORD cofr,nonn AUTHOR Benoit Cloitre, Jul 28 2003 STATUS approved

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Last modified June 24 13:17 EDT 2019. Contains 324325 sequences. (Running on oeis4.)