Continued fractions with period 1
( go to the article → https://www.johndcook.com/blog/2020/08/13/continued-fraction-period/ )
A while back I wrote about continued fractions of square roots. That post cited a theorem that if d is not a perfect square, then the continued fraction representation of d is periodic. The period consists of a palindrome followed by 2⌊√d⌋. See that post for details and examples. One thing the post did not […]
Aug. 14, 2020, 12:36 a.m.
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