User blog comment:TySkyo/Super-duperplex/@comment-29014792-20160805150230/@comment-28633611-20160805170123

Well, I've made small error.

I forgot that Rayo has a slow start, so "3" won't be sufficient to start the chain reaction going. In fact, Rayo_a(3) is undefined.

But Rayo_(ω+1) (1000) - say - would be larger than the Super-duperplex.

And I still don't see the point of naively extending Rayo's function in this manner. I see from your notation page that you're already at recursion level of ωx2+5, which is pretty good for a beginner. Had you started from S0=1 and Sn=(Sn-1)+1, your "Infinihyperplex" would have been far bigger than Graham's number. But starting from Rayo, you're extensions aren't adding much. Even if I were to write something crazy like:

Rayo_(ψ(Ω_Ω_Ω_Ω)) (1000)

It would still be a very naive extension which doesn't really change much.