A composition of $n$ is an expression of $n$ as a sum of not necessarily distinct positive integers, where the order matters. Note that $n = n$ counts as a composition of $n$.

Let $C_n$ be the number of *compositions* of $n$ with no part equal to 1.

For instance, $C_6 = 5$ because $6 = 6 =4+2=3+3=2+4=2+2+2.$

Find $C_{15}$.

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