Extended BEAF

Basically, you see a type of pattern in meameamealokkapoowa, meameamealokkapoowa-oompa, ...

You use that kind of pattern and nest it, creating a new type of &, which makes these arrays...

Nest that to get:

$$\{a,b;_22\}$$

To get higher numbers in the subscript, do this again over and over...

You can create arrays in the subscript, nest them to get:

$$\{a,b:2\}$$

Then,

$$\{a,1\dot{}2\} = \{a,a\} = a^a, \{a,2\dot{}2\} = \{a,a;2\}, \{a,3\dot{}2\} = \{a,a:2\}, \dots$$