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A127005 Numerators of convergents to Khinchin's constant. 2
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 (list; graph; refs; listen; history; text; internal format)
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

(Sage) [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

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Last modified January 27 04:57 EST 2020. Contains 331291 sequences. (Running on oeis4.)