Pentacthuloogol

Pentacthuloogol or tethrinoogarxihect is equal to \(\{100,100[1[1\backslash2\neg2]2]2\}\) in Bird's array notation, using the modified Hierarchical Hyper-Nested Array Notation.Hayden's Big Numbers - My BAN and SAN numbers Retrieved 2023-07-21. The term was coined by googology user HaydenTheGoogologist2009.
==Approximations==
Notation 	Approximation
Almighty Array Notation 	\(a\text{*}(100,100\{1<1!2>2\}2)\)
Bowers' Exploding Array Function 	\(\{X,X,1,2\} \& 100\) (weak bound, non-climbing)
\(X \uparrow\uparrow\uparrow X \& 100\) (strong bound, climbing)
Extended Cascading-E Notation 	\(\text{E}100\#\text{^^^}\#100\)
DeepLineMadom's Array Notation 	\(100[1\{1<1/2>2\}2]100\)
Hayden's Extended Array Notation 	\(100 [1[1\neg3]2]_2 100\)
Strong array notation 	\(\text{s}(100,100\{1\{1`2^{`}\}2\}2)\)
Username5243's Array Notation 	\(100[0\{0\{0,1\}_1 1\}1]100\)
Fast-growing hierarchy 	\(f_{\Gamma_0}(100)\)
Hardy hierarchy 	\(H_{\Gamma_0}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_{2}^{\Omega_{2}})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Binary phi level
Category:Bird's array notation numbers