User blog comment:Syst3ms/Introduction and Analysis of Chained Array Notation/@comment-30869823-20180629193757

You need a formal definition not just examples. Like for n[2] you never define what this really means you only show the example 2[2]=2[1][1], from this it is obvious you want n[a+1]=n[a][a]…[a] (n arrays [a] ) but you need formal definitions like that otherwise:

1) it gets really hard to follow 2) you didn't really define your notation in a way an other person can evaluted them at all, we can only guess what you want.

And starting from n[0,1] I really don't have any idea what you mean, because you assign it growth rate ω I guess you mean n[0,b+1]=n[n,b] and n[a+1,b]=n[a,b][a,b]….[a,b] (n arrays [a,b]) but you need to define these things using formulas, clear rules or algorithms