Gootrolmax

is equal to \(\{100,100[1[1[2\backslash_{1[2]3}2]2]2]2\}\) in Bird's array notation, using the modified Hierarchical Hyper-Nested Array Notation. The term was coined by googology user .
== Etymology ==
"" is based on Gootrol and "-max" indicating the Gootrol array at the ultraseparator.
==Approximations==
Notation 	Approximation
DeepLineMadom's Array Notation 	\(100[1\{1\{1\backslash1\{2\}3\}2\}2]100\)
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\psi_0(\Omega_{\omega^{\omega}2})}(100)\)
Hardy hierarchy (with this system of fundamental sequences) 	\(H_{\psi_0(\Omega_{\omega^{\omega}2})}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_{\Omega^{\Omega}2})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Higher computable level
Category:Bird's array notation numbers