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``"End" of periodic part of continued fractions of square roots'' by Mravinci on 2007-08-27 16:32:10
"As the table shows, the periodic part ends with $2 \lfloor \sqrt{n} \rfloor$."

Interesting. So the continued fraction of sqrt(n^2 + 1) is always of the form n; 2n. Why is this?
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