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A127005 Numerators of convergents to Khinchin's constant. 2

%I #10 May 31 2019 03:01:53

%S 2,3,8,43,51,94,239,333,572,2049,21062,44173,65235,239878,544991,

%T 13319662,13864653,54913621,123691895,425989306,549681201,975670507,

%U 1525351708,138257324227,278040000162,416297324389,5273607892830

%N Numerators of convergents to Khinchin's constant.

%H G. C. Greubel, <a href="/A127005/b127005.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KhinchinsConstant.html">Khinchin's Constant</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/KhinchinsConstantDigits.html">Khinchin's Constant Digits</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Khinchin%27s_constant">Khinchin's constant</a>

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

%t Numerator[Convergents[ContinuedFraction[Khinchin, 30]]] (* _G. C. Greubel_, May 30 2019 *)

%o (Sage) [continued_fraction(khinchin).convergent(n).numerator() for n in (0..30)] # _G. C. Greubel_, May 30 2019

%Y Cf. A002210, A002211, A127006.

%K nonn

%O 1,1

%A _Eric W. Weisstein_, Jan 02 2007

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)