User blog comment:Nedherman1/New Notation Idea/@comment-35811215-20180713205511/@comment-35392788-20180717185733

Here's my advice : don't try to make a super-duper-truper advanced bleeding-edge notation that has a bazillingly big growth rate now. Even what we consider as moderately big growth rates are a few conceptual jumps away from you.

If you want to make a notation, start simple. Have some base rule and some key idea. And then build up from that. Experiment with iteration, recursion, diagonalization and the like.