On the period of the continued fraction expansion of {sqrt {2^(2n+1)+1}}
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🧮 math.NT
keywords
continuedexpansionfractioninfinityperiodsqrttendsintegers
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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.
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