I've been working on a project for a wiki that I'm a member of. It is the Sequence of the Day for September 2. You can see my progress at https://oeis.org/wiki/Template:Sequence_of_the_Day_for_September_2 .
In short I ask, when you consider tetrations with rational heights, and compare them to exponentials with rational powers, what is the equivalent form of tetration to the exponential $n^{1/n}$?
I was wondering if anyone here knew the answer and would share it with me. If so, I would like to rephrase my project.