

A127006


Denominators of convergents to Khinchin's constant.


2



1, 1, 3, 16, 19, 35, 89, 124, 213, 763, 7843, 16449, 24292, 89325, 202942, 4959933, 5162875, 20448558, 46059991, 158628531, 204688522, 363317053, 568005575, 51483818803, 103535643181, 155019461984, 1963769186989, 2118788648973
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OFFSET

1,3


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000
Eric Weisstein's World of Mathematics, Khinchin's Constant
Eric Weisstein's World of Mathematics, Khinchin's Constant Digits
Wikipedia, Khinchin's constant


EXAMPLE

2, 3, 8/3, 43/16, 51/19, 94/35, 239/89, 333/124, 572/213, 2049/763, ...


MATHEMATICA

Denominator[Convergents[ContinuedFraction[Khinchin, 30]]] (* G. C. Greubel, May 30 2019 *)


PROG

(Sage) [continued_fraction(khinchin).convergent(n).denominator() for n in (0..30)] # G. C. Greubel, May 30 2019


CROSSREFS

Cf. A002210, A002211, A127005.
Sequence in context: A032922 A103655 A022126 * A042075 A042777 A041461
Adjacent sequences: A127003 A127004 A127005 * A127007 A127008 A127009


KEYWORD

nonn


AUTHOR

Eric W. Weisstein, Jan 02 2007


STATUS

approved



