A127006 Denominators of convergents to Khinchin's constant.

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

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 A342716 A042777

Adjacent sequences: A127003 A127004 A127005 * A127007 A127008 A127009

Keyword

nonn

Author

Eric W. Weisstein, Jan 02 2007

Status

approved