A244332 - OEIS

%I #17 Aug 07 2014 03:25:17

%S 1,2,4,5,7,19,39,121,321,813,2063,4957,11731,26329,59501,132273,

%T 294475,644557,1392933,2982557

%N Position of the incrementally largest term in the continued fraction for the base 3 Champernowne constant (A077772).

%H John K. Sikora, <a href="/A244332/b244332.txt">Table of n, a(n) for n = 1..20</a>

%H J. 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 J. K. Sikora, <a href="https://drive.google.com/file/d/0B2oQudZQvHfSOXF6WVkzWVVueWs/edit?usp=sharing">Number of ternary digits of the first 2982556 terms of the continued fraction of the base 3 Champernowne Constant (7 MB zipped)</a>

%Y Cf. A077772 (Continued fraction expansion of the ternary Champernowne constant.)

%Y Cf. A244757 (Incrementally largest terms in the continued fraction for the base 3 Champernowne constant.)

%Y Cf. A244333 (Number of ternary digits in the high-water marks of the terms of the continued fraction of the base 3 Champernowne constant.)

%K base,nonn,more

%O 1,2

%A _John K. Sikora_, Jun 26 2014