This is the second number series I've made. If you're thinking I'm talking about a video number series, then that means you didn't see Brisket Series yet. Anyway, the Absolute Infinity x-function in my ???? [x] Framework Rebuild Project can be used with normal numbers, although the early part is sort of just the Knuth Arrow notation...
This is a bit silly (and likely ill-defined), but I wanted to do this anyway.
Stage 1 - Multiple x's
Garmino - 10x10 = 100
10x100 or 10x10x10 = 1,000
Gardino - 10xx10 = 10↑10
10xx100 = 10↑100
Gartrino - 10xxx10 = 10↑↑10
10xxx100 = 10↑↑100
Gartetrino - 10xxxx10 = 10↑↑↑10
10xxxx100 = 10↑↑↑100
Garpentino - 10xxxxx10 = 10↑↑↑↑10
10xxxxx100 = 10↑↑↑↑100
Garhexino - 10xxxxxx10 = 10↑↑↑↑↑10
10xxxxxx100 = 10↑↑↑↑↑100
Garheptino - 10xxxxxxx10 = 10↑↑↑↑↑↑10
10xxxxxxx100 = 10↑↑↑↑↑↑100
Garoctino - 10xxxxxxxx10 = 10↑↑↑↑↑↑↑10
10xxxxxxxx100 = 10↑↑↑↑↑↑↑100
Garentino - 10xxxxxxxxx10 = 10↑↑↑↑↑↑↑↑10
10xxxxxxxxx100 = 10↑↑↑↑↑↑↑↑100
Gardecino - 10xxxxxxxxxx10 = 10↑↑↑↑↑↑↑↑↑10
10xxxxxxxxxx100 = 10↑↑↑↑↑↑↑↑↑100
To be continued...