Servality

is equal to \(\{100,100[1[2\backslash_{1\backslash_{1\backslash_{1\backslash_{1\neg2}2}2}2}2]2]2\}\) using D. Shamlin Jr's extension of Bird's array notation. The term was coined by googology user .
==Approximations==
Since this number is ill-defined, these are just expectations.
Notation 	Approximation
DeepLineMadom's Array Notation 	\(100[1\{1\backslash1\{1\backslash1\{1\backslash1\{1\backslash1\{1\backslash3\}2\}2\}2\}2\}2]100\)
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\psi_0(\Omega_{\Omega_{\Omega_{\Omega_{\Omega_2}}}})}(100)\)
Hardy hierarchy (with this system of fundamental sequences) 	\(H_{\psi_0(\Omega_{\Omega_{\Omega_{\Omega_{\Omega_2}}}})}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_{\Omega_{\Omega_{\Omega_{\Omega_3}}}})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Higher computable level
Category:Unformalised
Category:Bird's array notation numbers