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Algebra Level 4

\[\large \displaystyle \sum_{n=1}^{2016} \frac{n^{4} + n^{2} + 1}{n^{4} + n} \]

If the summation above is in the form of \(\dfrac AB\), where \(A\) and \(B\) are coprime positive integers, find \(A+B\).

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