Gootrol

The gootrol is equal to \(\{10,100 (1) 3\}\) in BEAF. The term was coined by Jonathan Bowers.
=== Etymology ===
The name of this number is based on Latin prefix "tri-" and the number "googol".
=== Approximations and exact values in other notations ===
Notation 	Approximation
Bird's array notation 	\(\{10,100 [2] 3\}\) (exactly equal)
Cascading-E notation 	\(\textrm{E}100\#\text{^}\#100\#\text{^}\#100\)
Dollar function (intended) 	\(100\$[[[0]][[0]]]\)
Hyperfactorial Array Notation 	\(100![1,2,1,2]\)
Username5243's Array Notation (intended)	10[0{1}2]100
Fast-growing hierarchy 	\(f_{(\omega^\omega) 2}(100)\)
Hardy hierarchy 	\(H_{\omega^{(\omega^\omega) 2}}(100)\)
Slow-growing hierarchy (using this system
of fundamental sequences)	\(g_{\psi_0(\Omega^{\Omega^\Omega+\Omega^\omega})}(100)\)
=== Sources ===
=== See also ===
ja:グートロル
Category:Numbers
Category:Numbers by Jonathan Bowers
Category:2 row
Category:Googol series
Category:BEAF
Category:Exponentiated linear omega level
Category:Gootrol series