User blog:Testitemqlstudop/Array notation variants

Recently I created a new array notation, akin to unidimensional BEAF, but with one key difference: the precedence of evaluation, namely the outermost array is evaluated first instead of the innermost array. This made (several?) differences. I detailed it in my external blog: https://testitem.github.io/colg/arnot.html and https://testitem.github.io/colg/vle.html. My question is: what is the growth rate, on the FGH, of x@x? Furthermore, how can I strengthen my array notation?

I estimated $$$4@4 > g_{g_{g_{g_{g_{g_{g_{g_{g_{33}}}}}}}}}}$$$.