Yann Bugeaud, Florian Luca
Published 2004-01-26Version 1
In this paper, we prove that the period of the continued fraction expansion of ${\sqrt {2^{n}+1}}$ tends to infinity when $n$ tends to infinity through odd positive integers.
On the continued fraction expansion of certain Engel series
On the continued fraction expansion of a class of numbers
Combinatorial structure of Sturmian words and continued fraction expansions of Sturmian numbers
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