User blog comment:Alejandro Magno/Extended Arrow Notation/@comment-10429372-20140919073818

Ikosarakt, your comparisons are indeed incorrect. I have the feeling that this is quite strong.

^(^^(^(^^(n)^^)^)^^)^ reaches ω^2.

^(^^(^(^^(^(^^(n)^^)^^)^)^^)^ reaches (ω^2)2.

^(^^(^^(n)^^)^^)^ reaches ω^3.

^(^^(^^(^(^^(^^(n)^^)^^)^)^^)^^)^ reaches (ω^3)2.

^(^^(^^(^^(n)^^)^^)^^)^ reaches ω^4.

^(^^^(n)^^^)^ reaches ω^ω.