Pentacthulhum

Pentacthulhum (also called tethrarxihect) is equal to E100#^^^#100 = E100#^^#^^#...#^^#^^#100 (100 #'s) in Extended Cascading-E Notation. The term was coined by Sbiis Saibian. This is comparable to Bowers' kungulus. Unfortunately, kungulus is an ill-defined number, since the array of operator is not formalised at that level.
This expands to:
E100#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#^^#100
==Etymology==
The name of this number is based on the words "pentation" and "".
== Approximations in other notations ==
Notation 	Approximation
BEAF (intended) 	\(\{X,X,1,2\}\ \&\ 100\) (non-climbing)
\(\{X,X,3\}\ \&\ 100 \) (climbing)
Bird's array notation 	\(\{100,100[1[1\neg3]2]2\}\) (Nested Hyper-Nested Array Notation)
\(\{100,100 [1 [1 \backslash 2 \neg 2] 2] 2\}\) (Hierarchial Hyper-Nested Array Notation)
Hyperfactorial array notation 	\(100![1(1)2]\)
Username5243's Array Notation (intended) 	100[0{0{0,11}11}1]100
Fast-growing hierarchy (with this system of fundamental sequences)	\(f_{\varphi(1,0,0)}(99)\)\(=f\)\(_{\Gamma_0}\)\((99)\)
Slow-growing hierarchy (with this system of fundamental sequences)	\(g_{\psi_0(\Omega_2^{\Omega_2})}(100)\)
==Sources==
==See also==
*Pentacthulhum regiment
ru:Пентактулхум
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Extended Cascading-E numbers
Category:Greek-based name
Category:Binary phi level
Category:Pentacthulhum series