Question 10
The sequence $$\langle a_{n}\rangle_{n\ge 0}$$ is defined by $$a_{0}=1$$, $$a_{1}=-4$$ and $$a_{n+2}=-4a_{n+1}-7a_{n}$$, for $$n\ge 0$$. Find the number of positive integer divisors of $$a_{50}^{2}-a_{49}a_{51}$$.
Correct Answer: 51
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