# A number theory problem by Ilham Saiful Fauzi

Let $$d(n)$$ is the greatest odd divisor of $$n$$. We define a function $$f$$ such that: $$f(2n-1)=2^{n}$$ and $$f(2n)=n+\dfrac{2n}{d(n)}$$. Find the number of composition $$k$$ such that $$f^{k}(1)=2016$$

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