Y by Adventure10, Mango247
Let
. Prove that, for every positive integer
, the sequence
contains at least one square of an integer.


![\[m, f(m), f(f(m)), f(f(f(m))), \cdots\]](http://latex.artofproblemsolving.com/b/0/9/b09ecddb4a7e92aade6ef4426d2e42ecdb7f9c8f.png)
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