User blog:Ynought/My new 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 a#$

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

\(a#=a\)

\(a#$b=a+b#$\)

\(a#{${b}}=a#{${b-1}}…{${b-1}}\) with a nests

when the amount of brackets is >0 then {0}={a} with one less pair of brackets.

Now

Expandal # notation
U also represent the rest of the notation (can also be empty

\(a#${$(b)^2$}=a#${$(…(b)$)…$)$(…(b)$)…$)$…(…(b)$)…$)$}\) with a nests

\(a#${$(b)^k}=a#${$(…(b)^{k-1}$…)^{k-1}$(…(b)^{k-1}$…)^{k-1}$…(…(b)^{k-1}$…)^{k-1}$}\) with a nests

Here U is non empty and c is some number

\(a#${$(b)^{Uc}$}=a#${$(…(b)^{Uc-1}$…)^{Uc-1}$…(…(b)^{Uc-1}$…)^{Uc-1}$} a nests

That is it for now.If you have any growth rates then please tell me