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

Author

Eric W. Weisstein, Jan 02 2007

Keywords

• nonn

Examples

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

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

Crossrefs

Cf. A002210, A002211, A127005.

Programs

Mathematica

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

Sage

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