Question: A string is repeat - free if non - empty prefixes of the string does not occur in the rest of the string. That is

A string is repeat-free if non-empty prefixes of the string does not occur in the rest of the string. That is, w is repeat-free if for all x, y, if xy = w then x does not occur in y.
How many prefix-free strings of length n are there for each of the following alphabets? Show your work.
The binary alphabet {0,1}
Theternaryalphabet{0,1,2}

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