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.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers8
Suggested Problems
-
1829 Solvers
-
Arrange Vector in descending order
10461 Solvers
-
Return unique values without sorting
896 Solvers
-
Generate N equally spaced intervals between -L and L
845 Solvers
-
Volume of a sphere given its surface area
144 Solvers
More from this Author249
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!