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
KEYWORD
cofr,nonn
AUTHOR
Benoit Cloitre, Jul 28 2003
STATUS
approved