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Position of the incrementally largest term in the continued fraction for the base-2 Champernowne constant (A066717).
3

%I #25 Apr 14 2021 05:21:24

%S 1,2,3,15,31,65,153,343,775,1729,3735,8175,17371,36447,76077,157471,

%T 324801,669469,1370903,2807215,5728545,11679949,23777059,48348375,

%U 98093505

%N Position of the incrementally largest term in the continued fraction for the base-2 Champernowne constant (A066717).

%H John K. Sikora, <a href="/A244330/b244330.txt">Table of n, a(n) for n = 1..25</a>

%H John K. Sikora, <a href="http://arxiv.org/abs/1408.0261">Analysis of the High Water Mark Convergents of Champernowne's Constant in Various Bases</a>, arXiv:1408.0261 [math.NT]

%H John K. Sikora, <a href="https://drive.google.com/file/d/0B2oQudZQvHfSN1hYVjBWdGQ4cVU/edit?usp=sharing">Number of binary digits of the first 98093504 terms of the continued fraction of the base 2 Champernowne Constant (240 MB zipped)</a>

%Y Cf. A066717 (The continued fraction for the "binary" Champernowne constant.)

%Y Cf. A066718 (Incrementally largest terms in the continued fraction for the "binary" Champernowne constant.)

%Y Cf. A244331 (Number of binary digits in the high-water marks of the terms of the continued fraction of the base 2 Champernowne constant.)

%K base,nonn,more

%O 1,2

%A _John K. Sikora_, Jun 25 2014