Yellowstone sequence: Difference between revisions

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The '''Yellowstone sequence''', also called the '''Yellowstone permutation''', is defined as:
The '''Yellowstone sequence''', also called the '''Yellowstone permutation''', is defined as:


a(n) = n for n <= 3.
====a(n) = n for n <= 3. ====
For n >= 4,
For n >= 4,
a(n) - the smallest number not already in sequence such that a(n) is relatively prime to a(n-1) and is not relatively prime to a(n-2).
====a(n) = the smallest number not already in sequence such that a(n) is relatively prime to a(n-1) and is not relatively prime to a(n-2).====


The sequence is a permutation of the natural numbers, and gets its name from what its authors felt was a spiking, fountain like appearance of a plot of the sequence.
The sequence is a permutation of the natural numbers, and gets its name from what its authors felt was a spiking, fountain like appearance of a plot of the sequence.