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 A086702 Decimal expansion of Lévy's constant. 9
 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Let P(k)/Q(k) denote the k-th convergent of x. Then for almost all real values of x where x satisfies 0∞,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. 59-65 Paul Lévy, Théorie de l'addition des variables aléatoires, 2nd. ed., Editions Jacques Gabay, chap IX, pp. 316-320. LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 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 (MAGMA) C := ComplexField(); [Exp((Pi(C))^2/(12*Log(2)))]; // G. C. Greubel, Nov 06 2017 CROSSREFS Cf. A002210. Sequence in context: A059894 A126314 A200714 * A156140 A069888 A073281 Adjacent sequences:  A086699 A086700 A086701 * A086703 A086704 A086705 KEYWORD cons,nonn,changed AUTHOR Benoit Cloitre, Jul 28 2003 EXTENSIONS Offset corrected by R. J. Mathar, Feb 05 2009 STATUS approved

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