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Let \(f : \mathbb N \to \mathbb N\) be a function such that, \(\forall n \in \mathbb N\):
1) \(f(2n+1)^2 - f(2n)^2 = 6f(n) + 1\)
2) \(f(2n) \ge f(n)\)
How many values of \(f\) are less than \(2016\) ?
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