Keengulus

Keengulus is equal to \(100\uparrow\uparrow\uparrow (100\times4) \ \&\ 10\) using the array of operator and BEAF. The term was coined by RedBandServerYT. Since BEAF has not been formalised up to this level, this number is currently ill-defined.
==Approximations==
Since BEAF is not defined, the following approximation is just an expected value under climbing method (strong bound):
Notation 	Approximation
Bird's array notation 	\(\{100,100 [1[1\neg3]1[1[1\neg3]1[1[1\neg3]1[1[1\neg3]2]2]2]2]2\}\) (Nested Hyper-Nested Array Notation)
\(\{100, 100 [1 [1 / 2 \sim 2]1 [1 [1 / 2 \sim 2]1 [1 [1 / 2 \sim 2]1 [1 [1 / 2 \sim 2]2] 2] 2] 2] 2\}\) (Hierarchial Hyper-Nested Array Notation)
Extended Cascading-E Notation	E100#^^^#>#^^^#>#^^^#>#^^^#100
Fast-growing hierarchy (using this system
of fundamental sequences)	\(f_{\varphi(1,0,\varphi(1,0,\varphi(1,0,\varphi(1,0,0))))}(100)\)\(= f_{\Gamma_{\Gamma_{\Gamma_{\Gamma_0}}}}(100)\)
Slow-growing hierarchy (using this system
of fundamental sequences)	\(g_{\psi_0(\Omega_2^{\Omega_2}\psi_1(\Omega_2^{\Omega_2}\psi_1(\Omega_2^{\Omega_2}\psi_1(\Omega_2^{\Omega_2})))))}(100)\)
==Sources==
==See also==
Category:Numbers
Category:Numbers by RedBandServerYT
Category:Higher array notation
Category:BEAF
Category:Bachmann's collapsing level
Category:Unformalised