# Mind Blown Again!?!?!?

Let $$x$$ and $$y$$ be non-negative integers. Suppose the number of strictly increasing sequences of integers $$a_{0},a_{1},a_{2}.................a_{2014}$$ satisfying $$0≤a_{m}≤3m$$ is $$2^{x}(2y+1)$$. Find $$x$$.

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