I have some problems, with the convergence of this sequence defined recursively. It's clear that it's bounded. But is it convergent? How can I check for convergence?
$$ a_0 = a_1 = 1 $$
$$ a_n = a_{a_{n - 1} } + a_{n - a_{n - 1} } $$
How do I prove that the sequence $\frac{a_n}{n}$ converges? I tried but am not able to do it.