User blog comment:Ikosarakt1/Introduction to pentational arrays/@comment-5529393-20130413060024/@comment-5529393-20130416142914

Is it really that important that the number of entries matches the solved expression? If it is, you can amend my notation so that X^^(X+1) has fundamental sequence X^^(p+1). This is subideal since the structures X^^(p+1) don't go all the way to X^^(X+1), but I believe you will still get a notation with strength phi(2, 0), so it will still be fine.

Can you explain how your notation produces a number of entries equal to the solved expression? It's not clear to me from your article.