User blog comment:Nedherman1/Is it possible something like omega^...(n)...^omega?/@comment-27516045-20191214190657/@comment-39541634-20191214193244

If we define hyperoperators on ordinals in the same way we define them on numbers:

a^b = a[sup]b[/sup]

a[n arrows]1 = a

a[n+1 arrow] = a[n arrows](a[n+1 arrows] a-1)

Then w [n arrows] w is always equal to epsilon-0, for all n>1. That's how ordinal arithmetic works.

Of-course, if we define these operators differently, than anything is possible. But unless you're asking about a specific definition, the question of "what is w^^^w" is meaningless.