User:Ynought/Cellular ! notation

Cellular ! notation
Here $ is the rest of the notation

and [ ] are any amount of brackets (the amount of brackets in [ and ] are equall.It can also be no brackets

The notation takes the form of 

All the numbers in the notation are whole and bigger or equal to one

 with a nests

when the amount of brackets is  then  with one less pair of brackets

Expandal ! notation
I will just add a couple of rules and cases:

U also represent the rest of the notation (can also be empty)

 a nests

 a nests

Here U is non empty and c is some number

 a nests