Penta-hierarchaxis

is equal to \(\{100,100[1[1[1[1[2\backslash_5 2]2]2]2]2]2\}\) in Bird's array notation, using the modified Hierarchical Hyper-Nested Array Notation. The term was coined by googology user .
==Approximations==
Notation 	Approximation
DeepLineMadom's Array Notation 	\(100[1\{1<<<<2>>>>2\}2\}2]100\)
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\psi_0(\Omega_4^{\omega})}(100)\)
Hardy hierarchy (with this system of fundamental sequences) 	\(H_{\psi_0(\Omega_4^{\omega})}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_5^{\omega})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Higher computable level
Category:Bird's array notation numbers