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The sequence \{a_n\} of integers is defined by
a_1 = 2, a_2 = 7
and
- \frac {1}{2} < a_{n + 1} - \frac {a^2_n}{a_{n - 1}} \leq \frac {}{}, n \geq 2.
Prove that a_n is odd for all n > 1.

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