I'm looking for a number series I can use for gradually rising or falling numbers. The number series should not be linear and should converge to a number at some point.
$\sqrt[N]{N}$ where $N > 3$; $N \in \mathbb{Z}$. (This series gradually falls)
Its inverse is then used for the opposite
I've verified for $N$ for the set $[4,5,\ldots,9]$
Do you know about other options? Other things I should consider?
They don't need to be inverses.