16.15

Algebra Level 4

\[\large \sum_{n=0}^{2016} \left \lfloor \frac{n(n+1)(n+2)(n+3)(n+4)(n+5)}{n^9 +1}\right \rfloor = \ ? \]

Notation: \(\lfloor \cdot \rfloor\) denotes the floor function.

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