Problem 51580. Construct a continued fraction for a square root
Numbers can be expressed as continued fractions of the form
Some continued fractions—such as those for e and π--continue forever without a discernable pattern in the coefficients, while the coefficients of continued fractions for square roots eventually repeat. For example,
or
Write a function that takes a non-square integer and returns the values of until the values repeat.
This problem celebrates my finally cracking Cody Problem 1215 by James. If you struggle with Test 8, as I did, remember that MATLAB cannot represent decimals with infinite precision.
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