User blog comment:VoidSansXD/Big notation thing/@comment-35470197-20190227093321/@comment-35470197-20190228024059

> recursion of n-1 A's.

It is still ambiguous. Is that \(A(A(\cdotsA(1)\cdots))n\), \(A(1)A(1)\cdots A(1)n\) or something like that? Clarifying the way to consider the recursion wuthout ambiguity is needed to create a new notation.

Moreover, since \(n\) is the variable appearing at the rightmost of your notation, you are just referring to \(A(1)1, A(1)(1)2, A(1)(1)(1)3, A(1)(1)(1)(1)4\), and so on. Therefore \(A(1)(1)(1)(1)1\) is ill-defined.