Say for !1 means a^a-1^a-2...4^3^2^1. For example, 3!1 = 3^2^1 = 9. Simple. Right? Say !2 = a^^a-1^^a-2...4^^3^^2^^1. The answer for 4^^3^^2^^1 is vastly very large.
No, googology for the most part is just a bunch of useless math.
What do you think?