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table of continued fractions of $\sqrt{n}$ for $1 < n < 102$

Major Section: 
Reference
Type of Math Object: 
Data Structure
Parent: 

Mathematics Subject Classification

11A25 no label found

Comments

"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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