Problem 57720. The Yellowstone Permutation
The Yellowstone Permutation is a sequence of positive integers, defined by the following rules:
- No term is repeated.
- Given n terms, the next term, a(n+1), is always the smallest possible integer.
- Every term, a(n), must be relatively prime to the previous term, a(n-1).
- Every term, a(n), must have a common divisor greater than 1 with the term before the previous, a(n-2).
The first three terms of the sequence, after which we start applying the rules, are [1 2 3].
Given a positive integer, n, return the n-th term of the sequence, a(n).
Example:
n = 4;
a = 4
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers7
Suggested Problems
-
Find state names that end with the letter A
1186 Solvers
-
Least common multiple of many numbers
242 Solvers
-
Convert Roman to Arabic Numerals
107 Solvers
-
890 Solvers
-
Side of an equilateral triangle
6371 Solvers
More from this Author45
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!