User blog comment:Cyias123/A new idea/@comment-32747646-20170729210410/@comment-30754445-20170801103158

What you've just described is exactly the process used to define Graham's Number:

G2 has G1 arrows

G3 has G2 arrows

and so on.

I don't know where you got the idea of Graham's Number having only 256 arrows, but it is simply wrong.