Grantethrathoth

The grantethrathoth (also called ninety-nine-ex-grand tethrathothSbiis Saibian's Ultimate Large Number List Part III or grangol-carta-tethrathoth4.3.7 Extended Cascading-E Numbers Part I by Sbiis Saibian) is equal to E100#^^#100#100 in Extended Cascading-E Notation.4.3.5 Cascading-E Numbers by Sbiis Saibian The term was coined by Sbiis Saibian. Despite being categorized as a pentational array, it can still be decomposed into a tetrational array, computed with this process:
*Let \(a_n\) be a function:
*\(a_1\) = 10:
*\(a_2\) = tethrathoth:
*\(a_3\) = grand tethrathoth:
*...
*Grantethrathoth is equal to \(a_{101}\).
== Etymology ==
The name of this number is based on the numbers "grangol" and "tethrathoth".
== Approximations in other notations ==
Notation 	Approximation
BEAF 	\(\{100,101,2 (X \uparrow\uparrow X) 2\}\)Using particular notation \(\{a,b (X \uparrow\uparrow X) 2\}\) for \(X \uparrow\uparrow b \&\ a\)
Bird's array notation 	\(\{100,101,2 [1 \backslash 2] 2\}\)
Hyperfactorial array notation 	\(100![2,1,1,1,2]\)
X-Sequence Hyper-Exponential Notation	\(100\{(X\uparrow\uparrow X)+1\}100\)
Fast-growing hierarchy 	\(f_{\varepsilon_0+1}(100)\)
Hardy hierarchy 	\(H_{\varepsilon_0 \omega}(100)\)
Slow-growing hierarchy 	\(g_{\vartheta(\varepsilon_{\Omega2})}(100)\)
== Sources ==
== See also ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Extended Cascading-E numbers
Category:Numbers by Aarex Tiaokhiao
Category:Nested Cascading-E numbers
Category:Epsilon level
Category:-thoth
Category:Tethrathoth series
Category:Tethrathoth — Monster-Giant