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

1,1

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

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

Prog

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

Crossrefs

Cf. A002210, A002211, A127006.

Sequence in context: A093908 A007119 A064794 * A042553 A042139 A118127

Adjacent sequences: A127002 A127003 A127004 * A127006 A127007 A127008

Keyword

nonn

Author

Eric W. Weisstein, Jan 02 2007

Status

approved