Terinngathor regiment

The terinngathor regiment is a series of numbers from E100#^#^####100 to E100(#^#^#^5)90 
defined using Cascading-E notation (i.e. beginning from terinngathor and up to terinngathornonagintice). The numbers were coined by Sbiis Saibian.
Previous regiment 	Next regiment
Thraelgathor regiment	Pentaelgathor regiment
== List of numbers of the regiment ==
Name of number 	Cascading-E notation (definition) 	Fast-growing hierarchy (approximation)
Terinngathor 	E100#^#^####100 	\(f_{\omega^{\omega^{\omega^4}}}(100)\)
Grand terinngathor 	E100#^#^####100#2 	\(f_{\omega^{\omega^{\omega^4}}}^2(100)\)
Grangol-carta-terinngathor 	E100#^#^####100#100 	\(f_{\omega^{\omega^{\omega^4}}+1}(100)\)
Gugold-carta-terinngathor 	E100#^#^####100##100 	\(f_{\omega^{\omega^{\omega^4}}+\omega}(100)\)
Throogol-carta-terinngathor 	E100#^#^####100###100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^2}(100)\)
Tetroogol-carta-terinngathor 	E100#^#^####100####100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^3}(100)\)
Godgahlah-carta-terinngathor 	E100#^#^####100#^#100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^\omega}(100)\)
Grigahlah-carta-terinngathor 	E100#^#^####100#^##100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^2}}(100)\)
Kubikahlah-carta-terinngathor 	E100#^#^####100#^###100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^3}}(100)\)
Quarticahlah-carta-terinngathor 	E100#^#^####100#^####100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^4}}(100)\)
Godgathor-carta-terinngathor 	E100#^#^####100#^#^#100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^\omega}}(100)\)
Gralgathor-carta-terinngathor 	E100#^#^####100#^#^##100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^{\omega^2}}}(100)\)
Thraelgathor-carta-terinngathor 	E100#^#^####100#^#^###100 	\(f_{\omega^{\omega^{\omega^4}}+\omega^{\omega^{\omega^3}}}(100)\)
Terinntrigathor 	E100#^#^####100#^#^####100 	\(f_{\omega^{\omega^{\omega^4}}2}(100)\)
Terinntergathor 	E100#^#^####100#^#^####100#^#^####100 = E100#^#^####*#4 	\(f_{\omega^{\omega^{\omega^4}}3}(100)\)
Terinnpeggathor 	E100#^#^####*#5 	\(f_{\omega^{\omega^{\omega^4}}4}(100)\)
Terinnhexgathor 	E100#^#^####*#6 	\(f_{\omega^{\omega^{\omega^4}}5}(100)\)
Terinnhepgathor 	E100#^#^####*#7 	\(f_{\omega^{\omega^{\omega^4}}6}(100)\)
Terinn-ahtgathor 	E100#^#^####*#8 	\(f_{\omega^{\omega^{\omega^4}}7}(100)\)
Terinn-enngathor 	E100#^#^####*#9 	\(f_{\omega^{\omega^{\omega^4}}8}(100)\)
Terinndekagathor 	E100#^#^####*#10 	\(f_{\omega^{\omega^{\omega^4}}9}(100)\)
Terinngathor-by-hyperion 	E100#^#^####*#100 	\(f_{\omega^{\omega^{\omega^4}+1}}(100)\)
Terinngathor-by-deutero-hyperion 	E100#^#^####*##100 	\(f_{\omega^{\omega^{\omega^4}+2}}(100)\)
Terinngathor-by-trito-hyperion 	E100#^#^####*###100 	\(f_{\omega^{\omega^{\omega^4}+3}}(100)\)
Terinngathor-by-teterto-hyperion 	E100#^#^####*####100 	\(f_{\omega^{\omega^{\omega^4}+4}}(100)\)
Terinngathor-by-godgahlah 	E100#^#^####*#^#100 	\(f_{\omega^{\omega^{\omega^4}+\omega}}(100)\)
Terinngathor-by-gridgahlah 	E100#^#^####*#^##100 	\(f_{\omega^{\omega^{\omega^4}+\omega^2}}(100)\)
Terinngathor-by-kubikahlah 	E100#^#^####*#^###100 	\(f_{\omega^{\omega^{\omega^4}+\omega^3}}(100)\)
Terinngathor-by-quarticahlah 	E100#^#^####*#^####100 	\(f_{\omega^{\omega^{\omega^4}+\omega^4}}(100)\)
Terinngathor-by-godgathor 	E100#^#^####*#^#^#100 	\(f_{\omega^{\omega^{\omega^4}+\omega^\omega}}(100)\)
Terinngathor-by-gralgathor 	E100#^#^####*#^#^##100 	\(f_{\omega^{\omega^{\omega^4}+\omega^{\omega^2}}}(100)\)
Terinngathor-by-thraelgathor 	E100#^#^####*#^#^###100 	\(f_{\omega^{\omega^{\omega^4}+\omega^{\omega^3}}}(100)\)
Deutero-terinngathor 	E100#^#^####*#^#^####100 	\(f_{\omega^{\omega^{\omega^4}2}}(100)\)
Deutero-terinngathor-by-hyperion 	E100#^#^####*#^#^####*#100 	\(f_{\omega^{\omega^{\omega^4}2+1}}(100)\)
Deutero-terinngathor-by-deutero-hyperion	E100#^#^####*#^#^####*##100 	\(f_{\omega^{\omega^{\omega^4}2+2}}(100)\)
Deutero-terinngathor-by-trito-hyperion 	E100#^#^####*#^#^####*###100 	\(f_{\omega^{\omega^{\omega^4}2+3}}(100)\)
Deutero-terinngathor-by-teterto-hyperion	E100#^#^####*#^#^####*####100 	\(f_{\omega^{\omega^{\omega^4}2+4}}(100)\)
Deutero-terinngathor-by-godgahlah 	E100#^#^####*#^#^####*#^#100 	\(f_{\omega^{\omega^{\omega^4}2+\omega}}(100)\)
Deutero-terinngathor-by-gridgahlah 	E100#^#^####*#^#^####*#^##100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^2}}(100)\)
Deutero-terinngathor-by-kubikahlah 	E100#^#^####*#^#^####*#^###100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^3}}(100)\)
Deutero-terinngathor-by-quarticahlah 	E100#^#^####*#^#^####*#^####100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^4}}(100)\)
Deutero-terinngathor-by-godgathor 	E100#^#^####*#^#^####*#^#^#100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^\omega}}(100)\)
Deutero-terinngathor-by-gralgathor 	E100#^#^####*#^#^####*#^#^##100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^{\omega^2}}}(100)\)
Deutero-terinngathor-by-thraelgathor 	E100#^#^####*#^#^####*#^#^###100 	\(f_{\omega^{\omega^{\omega^4}2+\omega^{\omega^3}}}(100)\)
Trito-terinngathor 	E100#^#^####*#^#^####*#^#^####100 	\(f_{\omega^{\omega^{\omega^4}3}}(100)\)
Teterto-terinngathor 	E100#^#^####*#^#^####*#^#^####*#^#^####100 = E100#^(#^####*#)4	\(f_{\omega^{\omega^{\omega^4}4}}(100)\)
Pepto-terinngathor 	E100#^(#^####*#)5 	\(f_{\omega^{\omega^{\omega^4}5}}(100)\)
Exto-terinngathor 	E100#^(#^####*#)6 	\(f_{\omega^{\omega^{\omega^4}6}}(100)\)
Epto-terinngathor 	E100#^(#^####*#)7 	\(f_{\omega^{\omega^{\omega^4}7}}(100)\)
Ogdo-terinngathor 	E100#^(#^####*#)8 	\(f_{\omega^{\omega^{\omega^4}8}}(100)\)
Ento-terinngathor 	E100#^(#^####*#)9 	\(f_{\omega^{\omega^{\omega^4}9}}(100)\)
Dekato-terinngathor 	E100#^(#^####*#)10 	\(f_{\omega^{\omega^{\omega^4}10}}(100)\)
Isosto-terinngathor 	E100#^(#^####*#)20 	\(f_{\omega^{\omega^{\omega^4}20}}(100)\)
Trianto-terinngathor 	E100#^(#^####*#)30 	\(f_{\omega^{\omega^{\omega^4}30}}(100)\)
Saranto-terinngathor 	E100#^(#^####*#)40 	\(f_{\omega^{\omega^{\omega^4}40}}(100)\)
Peninto-terinngathor 	E100#^(#^####*#)50 	\(f_{\omega^{\omega^{\omega^4}50}}(100)\)
Exinto-terinngathor 	E100#^(#^####*#)60 	\(f_{\omega^{\omega^{\omega^4}60}}(100)\)
Ebdominto-terinngathor 	E100#^(#^####*#)70 	\(f_{\omega^{\omega^{\omega^4}70}}(100)\)
Ogdonto-terinngathor 	E100#^(#^####*#)80 	\(f_{\omega^{\omega^{\omega^4}80}}(100)\)
Eneninto-terinngathor 	E100#^(#^####*#)90 	\(f_{\omega^{\omega^{\omega^4}90}}(100)\)
Hecato-terinngathor 	E100#^(#^####*#)100 	\(f_{\omega^{\omega^{\omega^4+1}}}(100)\)
Terinngridgathor 	E100#^(#^####*##)100 	\(f_{\omega^{\omega^{\omega^4+2}}}(100)\)
Terinnkubikgathor 	E100#^(#^####*###)100 	\(f_{\omega^{\omega^{\omega^4+3}}}(100)\)
Terinnquarticgathor 	E100#^(#^####*####)100 = E100#^(#^####*#^#)4 	\(f_{\omega^{\omega^{\omega^4+4}}}(100)\)
Terinnquinticgathor 	E100#^(#^####*#^#)5 	\(f_{\omega^{\omega^{\omega^4+5}}}(100)\)
Terinnsexticgathor 	E100#^(#^####*#^#)6 	\(f_{\omega^{\omega^{\omega^4+6}}}(100)\)
Terinnsepticgathor 	E100#^(#^####*#^#)7 	\(f_{\omega^{\omega^{\omega^4+7}}}(100)\)
Terinnocticgathor 	E100#^(#^####*#^#)8 	\(f_{\omega^{\omega^{\omega^4+8}}}(100)\)
Terinnonicgathor 	E100#^(#^####*#^#)9 	\(f_{\omega^{\omega^{\omega^4+9}}}(100)\)
Terinndecicgathor 	E100#^(#^####*#^#)10 	\(f_{\omega^{\omega^{\omega^4+10}}}(100)\)
Terinnviginticgathor 	E100#^(#^####*#^#)20 	\(f_{\omega^{\omega^{\omega^4+20}}}(100)\)
Terinnquinquaginticgathor 	E100#^(#^####*#^#)50 	\(f_{\omega^{\omega^{\omega^4+50}}}(100)\)
Terinngodgathgathor 	E100#^(#^####*#^#)100 	\(f_{\omega^{\omega^{\omega^4+\omega}}}(100)\)
Terinngodgathordeusgathor 	E100#^(#^####*#^#*#^#)100 	\(f_{\omega^{\omega^{\omega^4+\omega2}}}(100)\)
Terinngralgathgathor 	E100#^(#^####*#^##)100 	\(f_{\omega^{\omega^{\omega^4+\omega^2}}}(100)\)
Terinnthraelgathgathor 	E100#^(#^####*#^###)100 	\(f_{\omega^{\omega^{\omega^4+\omega^3}}}(100)\)
Terinngathordeus 	E100#^(#^####*#^####)100 	\(f_{\omega^{\omega^{\omega^42}}}(100)\)
Terinngodgathgathordeus 	E100#^(#^####*#^####*#^#)100 	\(f_{\omega^{\omega^{\omega^42+\omega}}}(100)\)
Terinngodgathordeusgathordeus 	E100#^(#^####*#^####*#^#*#^#)100 	\(f_{\omega^{\omega^{\omega^42+\omega2}}}(100)\)
Terinngralgathgathordeus 	E100#^(#^####*#^####*#^##)100 	\(f_{\omega^{\omega^{\omega^42+\omega^2}}}(100)\)
Terinnthraelgathgathordeus 	E100#^(#^####*#^####*#^###)100 	\(f_{\omega^{\omega^{\omega^42+\omega^3}}}(100)\)
Terinngathortruce 	E100#^(#^####*#^####*#^####)100 	\(f_{\omega^{\omega^{\omega^43}}}(100)\)
Terinngathorquad 	E100#^(#^####*#^####*#^####*#^####)100 = E100(#^#^#^5)4 	\(f_{\omega^{\omega^{\omega^44}}}(100)\)
Terinngathorquid 	E100(#^#^#^5)5 	\(f_{\omega^{\omega^{\omega^45}}}(100)\)
Terinngathorsid 	E100(#^#^#^5)6 	\(f_{\omega^{\omega^{\omega^46}}}(100)\)
Terinngathorseptuce 	E100(#^#^#^5)7 	\(f_{\omega^{\omega^{\omega^47}}}(100)\)
Terinngathoroctuce 	E100(#^#^#^5)8 	\(f_{\omega^{\omega^{\omega^48}}}(100)\)
Terinngathornonice 	E100(#^#^#^5)9 	\(f_{\omega^{\omega^{\omega^49}}}(100)\)
Terinngathordecice 	E100(#^#^#^5)10 	\(f_{\omega^{\omega^{\omega^410}}}(100)\)
Terinngathorvigintice 	E100(#^#^#^5)20 	\(f_{\omega^{\omega^{\omega^420}}}(100)\)
Terinngathortrigintice 	E100(#^#^#^5)30 	\(f_{\omega^{\omega^{\omega^430}}}(100)\)
Terinngathorquadragintice 	E100(#^#^#^5)40 	\(f_{\omega^{\omega^{\omega^440}}}(100)\)
Terinngathorquinquagintice 	E100(#^#^#^5)50 	\(f_{\omega^{\omega^{\omega^450}}}(100)\)
Terinngathorsexagintice 	E100(#^#^#^5)60 	\(f_{\omega^{\omega^{\omega^460}}}(100)\)
Terinngathorseptuagintice 	E100(#^#^#^5)70 	\(f_{\omega^{\omega^{\omega^470}}}(100)\)
Terinngathoroctogintice 	E100(#^#^#^5)80 	\(f_{\omega^{\omega^{\omega^480}}}(100)\)
Terinngathornonagintice 	E100(#^#^#^5)90 	\(f_{\omega^{\omega^{\omega^490}}}(100)\)
== Sources ==
Category:Numbers
Category:Numbers by Sbiis Saibian
Category:Double exponentiated polynomial omega level
Category:Saibian's regiments
Category:Series
Category:Cascading-E numbers