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Googology Iceberg
The entries are ranked by how obscure they are. I will not include "generic" numbers like Tria-taxis, or else this will be too long, instead, I will include more interesting/notable numbers.
TREE(1) - Math amateur
Well-known things related to googology.
Tetration, Pentation, Hexation, etc.
Up Arrow Notation
Googol
Graham's Number
Googolplex
TREE sequence and TREE(3)
Rayo's Number
Fast-growing hierarchy
Ordinals
TREE(2) - Math enthusiast
Slightly more obscure things than the previous layer, but still relatively well-known.
Jonathan Bowers
Sbiis Saibian
BEAF
BAN
Busy Beaver function
SCG(n) and SSCG(n)
Harvey Friedman
Aarex Tiaokhiao
"Google" name origin
Loader's Number
TREE(3) - Googology amateur
Large Number Garden Number
Oblivion/Utter Oblivion
"Tar" numbers
Bashicu Matrix System
Y sequence number
"Faxul" numbers
Chris Bird
Lawrence Hollom
Frantic Frog function
Fish numbers