User:Ynought/Linear ! notation

\(a!$[$[$,0)$]=a!$[$($)^a$]…\)a times\(…$[$($)^a$]\)

Here (\(U\) is the rest of the notation) \(UJk=a!$[$($,b-1)^{UJk-1}$]…$[$($,b-1)^{UJk-1}$]\) a times

and \(I=$[$($,b-1)$]\)

and \(a!$[$($,b)$]=a!$I[$I($,b-1)^{IJa}$]…$I[$I($,I,b-1)^{IJa}$]\) a times