Gralgathor regiment

The gralgathor regiment is a series of numbers from E100#^#^##100 to E100#^#^###90 
defined using Cascading-E notation (i.e. beginning from gralgathor and up to gralgathornonagintice). The numbers were coined by Sbiis Saibian.
Previous regiment 	Next regiment
Godgathor regiment	Thraelgathor regiment
== List of numbers of the regiment ==
Name of number 	Cascading-E notation (definition) 	Fast-growing hierarchy (approximation)
Gralgathor 	E100#^#^##100 	\(f_{\omega^{\omega^{\omega^2}}}(100)\)
Grand gralgathor 	E100#^#^##100#2 	\(f_{\omega^{\omega^{\omega^2}}}^2(100)\)
Grangol-carta-gralgathor 	E100#^#^##100#100 	\(f_{\omega^{\omega^{\omega^2}}+1}(100)\)
Gugold-carta-gralgathor 	E100#^#^##100##100 	\(f_{\omega^{\omega^{\omega^2}}+\omega}(100)\)
Throogol-carta-gralgathor 	E100#^#^##100###100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^2}(100)\)
Tetroogol-carta-gralgathor 	E100#^#^##100####100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^3}(100)\)
Godgahlah-carta-gralgathor 	E100#^#^##100#^#100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^\omega}(100)\)
Gridgahlah-carta-gralgathor 	E100#^#^##100#^##100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^2}}(100)\)
Kubikahlah-carta-gralgathor 	E100#^#^##100#^###100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^3}}(100)\)
Quarticahlah-carta-gralgathor 	E100#^#^##100#^####100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^4}}(100)\)
Godgathor-carta-gralgathor 	E100#^#^##100#^#^#100 	\(f_{\omega^{\omega^{\omega^2}}+\omega^{\omega^\omega}}(100)\)
Graltrigathor 	E100#^#^##100#^#^##100 	\(f_{\omega^{\omega^{\omega^2}}2}(100)\)
Graltergathor 	E100#^#^##100#^#^##100#^#^##100 	\(f_{\omega^{\omega^{\omega^2}}3}(100)\)
Deutero-gralgathor 	E100#^#^##*#^#^##100 	\(f_{\omega^{\omega^{\omega^2}2}}(100)\)
Trito-gralgathor 	E100#^#^##*#^#^##*#^#^##100 	\(f_{\omega^{\omega^{\omega^2}3}}(100)\)
Teterto-gralgathor 	E100#^(#^##*#)4 	\(f_{\omega^{\omega^{\omega^2}4}}(100)\)
Pepto-gralgathor 	E100#^(#^##*#)5 	\(f_{\omega^{\omega^{\omega^2}5}}(100)\)
Exto-gralgathor 	E100#^(#^##*#)6 	\(f_{\omega^{\omega^{\omega^2}6}}(100)\)
Epto-gralgathor 	E100#^(#^##*#)7 	\(f_{\omega^{\omega^{\omega^2}7}}(100)\)
Ogdo-gralgathor 	E100#^(#^##*#)8 	\(f_{\omega^{\omega^{\omega^2}8}}(100)\)
Ento-gralgathor 	E100#^(#^##*#)9 	\(f_{\omega^{\omega^{\omega^2}9}}(100)\)
Dekato-gralgathor 	E100#^(#^##*#)10 	\(f_{\omega^{\omega^{\omega^2}10}}(100)\)
Isosto-gralgathor 	E100#^(#^##*#)20 	\(f_{\omega^{\omega^{\omega^2}20}}(100)\)
Trianto-gralgathor 	E100#^(#^##*#)30 	\(f_{\omega^{\omega^{\omega^2}30}}(100)\)
Saranto-gralgathor 	E100#^(#^##*#)40 	\(f_{\omega^{\omega^{\omega^2}40}}(100)\)
Peninto-gralgathor 	E100#^(#^##*#)50 	\(f_{\omega^{\omega^{\omega^2}50}}(100)\)
Exinto-gralgathor 	E100#^(#^##*#)60 	\(f_{\omega^{\omega^{\omega^2}60}}(100)\)
Ebdominto-gralgathor 	E100#^(#^##*#)70 	\(f_{\omega^{\omega^{\omega^2}70}}(100)\)
Ogdonto-gralgathor 	E100#^(#^##*#)80 	\(f_{\omega^{\omega^{\omega^2}80}}(100)\)
Eneninto-gralgathor 	E100#^(#^##*#)90 	\(f_{\omega^{\omega^{\omega^2}90}}(100)\)
Hecato-gralgathor 	E100#^(#^##*#)100 	\(f_{\omega^{\omega^{\omega^2+1}}}(100)\)
Gralgridgathor 	E100#^(#^##*##)100 	\(f_{\omega^{\omega^{\omega^2+2}}}(100)\)
Gralkubikgathor 	E100#^(#^##*###)100 	\(f_{\omega^{\omega^{\omega^2+3}}}(100)\)
Gralquarticgathor 	E100#^(#^##*####)100 	\(f_{\omega^{\omega^{\omega^2+4}}}(100)\)
Gralgodgathgathor 	E100#^(#^##*#^#)100 	\(f_{\omega^{\omega^{\omega^2+\omega}}}(100)\)
Gralgodgathordeusgathor 	E100#^(#^##*#^#*#^#)100 	\(f_{\omega^{\omega^{\omega^2+\omega2}}}(100)\)
Gralgodgathortrucegathor 	E100#^(#^##*#^#*#^#*#^#)100 	\(f_{\omega^{\omega^{\omega^2+\omega3}}}(100)\)
Gralgodgathorquadgathor 	E100#^(#^##*#^#*#^#*#^#*#^#)100 	\(f_{\omega^{\omega^{\omega^2+\omega4}}}(100)\)
Gralgodgathorquidgathor 	E100#^(#^##*#^##)5 	\(f_{\omega^{\omega^{\omega^2+\omega5}}}(100)\)
Gralgodgathorsidgathor 	E100#^(#^##*#^##)6 	\(f_{\omega^{\omega^{\omega^2+\omega6}}}(100)\)
Gralgodgathorseptucegathor 	E100#^(#^##*#^##)7 	\(f_{\omega^{\omega^{\omega^2+\omega7}}}(100)\)
Gralgodgathoroctucegathor 	E100#^(#^##*#^##)8 	\(f_{\omega^{\omega^{\omega^2+\omega8}}}(100)\)
Gralgodgathornonicegathor 	E100#^(#^##*#^##)9 	\(f_{\omega^{\omega^{\omega^2+\omega9}}}(100)\)
Gralgodgathordecicegathor 	E100#^(#^##*#^##)10 	\(f_{\omega^{\omega^{\omega^2+\omega10}}}(100)\)
Gralgodgathorviginticegathor 	E100#^(#^##*#^##)20 	\(f_{\omega^{\omega^{\omega^2+\omega20}}}(100)\)
Gralgodgathorquinquaginticegathor	E100#^(#^##*#^##)50 	\(f_{\omega^{\omega^{\omega^2+\omega50}}}(100)\)
Gralgathordeus 	E100#^(#^##*#^##)100 = E100#^#^###2 	\(f_{\omega^{\omega^{\omega^22}}}(100)\)
Gralgathortruce 	E100#^(#^##*#^##*#^##)100 = E100#^#^###3	\(f_{\omega^{\omega^{\omega^23}}}(100)\)
Gralgathorquad 	E100#^#^###4 	\(f_{\omega^{\omega^{\omega^24}}}(100)\)
Gralgathorquid 	E100#^#^###5 	\(f_{\omega^{\omega^{\omega^25}}}(100)\)
Gralgathorsid 	E100#^#^###6 	\(f_{\omega^{\omega^{\omega^26}}}(100)\)
Gralgathorseptuce 	E100#^#^###7 	\(f_{\omega^{\omega^{\omega^27}}}(100)\)
Gralgathoroctuce 	E100#^#^###8 	\(f_{\omega^{\omega^{\omega^28}}}(100)\)
Gralgathornonice 	E100#^#^###9 	\(f_{\omega^{\omega^{\omega^29}}}(100)\)
Gralgathordecice 	E100#^#^###10 	\(f_{\omega^{\omega^{\omega^210}}}(100)\)
Gralgathorvigintice 	E100#^#^###20 	\(f_{\omega^{\omega^{\omega^220}}}(100)\)
Gralgathortrigintice 	E100#^#^###30 	\(f_{\omega^{\omega^{\omega^230}}}(100)\)
Gralgathorquadragintice 	E100#^#^###40 	\(f_{\omega^{\omega^{\omega^240}}}(100)\)
Gralgathorquinquagintice 	E100#^#^###50 	\(f_{\omega^{\omega^{\omega^250}}}(100)\)
Gralgathorsexagintice 	E100#^#^###60 	\(f_{\omega^{\omega^{\omega^260}}}(100)\)
Gralgathorseptuagintice 	E100#^#^###70 	\(f_{\omega^{\omega^{\omega^270}}}(100)\)
Gralgathoroctogintice 	E100#^#^###80 	\(f_{\omega^{\omega^{\omega^280}}}(100)\)
Gralgathornonagintice 	E100#^#^###90 	\(f_{\omega^{\omega^{\omega^290}}}(100)\)
== Sources ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Double exponentiated polynomial omega level
Category:Saibian's regiments
Category:Series
Category:Cascading-E numbers