Ononot — Let a1 = 1, a2 = 3, and a{n+2} = a{n+1} + 2an for all n \ge

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Divisibilityhard

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Let $a_1 = 1, a_2 = 3$ , and $a_{n+2} = a_{n+1} + 2a_n$ for all $n \ge 1$ . For how many positive integers $n \le 100$ is $a_n$ divisible by 5?