A127005 Numerators of convergents to Khinchin's constant.

2, 3, 8, 43, 51, 94, 239, 333, 572, 2049, 21062, 44173, 65235, 239878, 544991, 13319662, 13864653, 54913621, 123691895, 425989306, 549681201, 975670507, 1525351708, 138257324227, 278040000162, 416297324389, 5273607892830

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, A127006.

Programs

Mathematica

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

Sage

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