The test case result for n=5 seems a tad high.
Tim, that last case is altperm(altperm(5)). I did that to discourage lookup solutions.
Remove the air bubbles
Least common multiple of many numbers
Determine the square root
Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock. Tick. Tock.
Deduce the pattern behind the sequence
Compute a row of the Kimberling shuffle
Solve the arithmetic differential equation D(n) = n
Identify prime words
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