User blog comment:Alejandro Magno/Extended Arrow Notation/@comment-5150073-20140918210020/@comment-5529393-20140919020659

Ikosarakt1's comparisons are correct, and a^(^(n)^(n)^(n)^)^b is indeed at about f_w^w(n). If you're complaining that Ikosarakt1 didn't list EVERY notation, that is of course impossible.