# Recursive style

Let $$A_n$$ be a recursive formula that satisfies

$$A_1=k, \;\; A_2 \neq 2, \;\; A_n=D(A_{n-1}) \;\;$$ where $$k$$ is a positive integer and $$D(t)$$ is the number of divisors of $$t$$.

Does $$\{A\}$$ contain a perfect square?

Bonus: prove your answer! $$:)$$

This problem is not original.

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