Exploder Notation (Probably bad, my first notation)

{E}

This notation mainly revolves around Arrow Notation.

As an example for Single E, $\left\{E\right\}1=n\uparrow \ldots (n)\ldots \uparrow$, so $\left\{E\right\}6=\uparrow \uparrow \uparrow \uparrow \uparrow \uparrow$.

{EE}

$\{EE\}n=n\uparrow \ldots (\left\{E\right\}n)\ldots \uparrow$.

{EEE}

$\{EEE\}n=n\uparrow \ldots (\{EE\}n)\ldots )$

And so on.