Let consider the sequence $(x_n)_n$ such that $x_{n+1}= a^{\frac{x_n}{a}}$ where $x_1= a^{\frac{1}{a}}$ and $a$ is an natural number greater than 1. I have seen that the sequence is increasing, but is convergent?
2026-04-13 12:44:20.1776084260
Let consider the sequence $(x_n)_n$ such that, $x_{n+1}= a^{\frac{x_n}{a}}$ where $x_1= a^{\frac{1}{a}}$ and $a$ is an natural number greater than 1.
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