Pentacthuloopeton

Pentacthuloopeton is equal to \(\{100,100[1[1\backslash2\neg2]1\backslash1\backslash1\backslash1\backslash2]2\}\) in Bird's array notation, using the modified Hierarchical Hyper-Nested Array Notation.Hayden's Big Numbers - My BAN and SAN numbers Retrieved 2023-09-01. The term was coined by googology user .
==Approximations==
Notation 	Approximation
Almighty Array Notation (intended) 	\(a\text{*}(100,100\{1<1!2>1!1!1!1!2\}2)\)
Bowers' Exploding Array Function 	\(\{X,X,5,2\} \& 100\) (weak bound, non-climbing)
\(X \uparrow\uparrow\uparrow X^5 \& 100\) (strong bound, climbing)
Extended Cascading-E Notation 	\(\text{E}100\#\text{^^^}\#\text{^}\#5\)
DeepLineMadom's Array Notation 	\(100[1\{1<1/2>1/1/1/1/2\}2]100\)
Hayden's Extended Array Notation 	\(100 [1[1\neg3]1\backslash1\backslash1\backslash1\backslash2]_2 100\)
Strong array notation (intended) 	\(\text{s}(100,100\{1\{1`2^{`}\}1`1`1`1`2\}2)\)
Username5243's Array Notation (intended) 	\(100[0\{0\{0,_1 1\}_1 0,_1 0,_1 0,_1 0,_1 1\}1]100\)
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\varphi(1,4,0)}(100)\)
Hardy hierarchy (with this system of fundamental sequences) 	\(H_{\varphi(1,4,0)}(100)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_2^{\Omega_2+4})}(100)\)
==Sources==
Category:Numbers
Category:Numbers by HaydenTheGoogologist2009
Category:Bachmann's collapsing level
Category:Bird's array notation numbers