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The godgathor regiment is a series of numbers from E100#^#^#100 to 100#^#^##90 defined using Cascading-E notation (i.e. beginning from godgathor and up to godgathornonagintice).[1] The numbers were coined by Sbiis Saibian.

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Decicahlah regiment Gralgathor regiment

List of numbers of the regiment

Name of number Cascading-E notation (definition) Fast-growing hierarchy (approximation)
Godgathor E100#^#^#100 \(f_{\omega^{\omega^\omega}}(100)\)
Gotrigathor E100#^#^#100#^#^#100 \(f_{\omega^{\omega^\omega}2}(100)\)
Gotergathor E100#^#^#100#^#^#100#^#^#100 \(f_{\omega^{\omega^\omega}3}(100)\)
Goppegathor E100#^#^#100#^#^#100#^#^#100#^#^#100 \(f_{\omega^{\omega^\omega}4}(100)\)
Gohexgathor E100#^#^#*#6 \(f_{\omega^{\omega^\omega}5}(100)\)
Gohepgathor E100#^#^#*#7 \(f_{\omega^{\omega^\omega}6}(100)\)
Go-ahtgathor E100#^#^#*#8 \(f_{\omega^{\omega^\omega}7}(100)\)
Go-enngathor E100#^#^#*#9 \(f_{\omega^{\omega^\omega}8}(100)\)
Godekagathor E100#^#^#*#10 \(f_{\omega^{\omega^\omega}9}(100)\)
Deutero-godgathor E100#^#^#*#^#^#100 = E100#^(#^#*#)2 \(f_{\omega^{\omega^\omega2}}(100)\)
Trito-godgathor E100#^(#^#*#)3 \(f_{\omega^{\omega^\omega3}}(100)\)
Teterto-godgathor E100#^(#^#*#)4 \(f_{\omega^{\omega^\omega4}}(100)\)
Pepto-godgathor E100#^(#^#*#)5 \(f_{\omega^{\omega^\omega5}}(100)\)
Exto-godgathor E100#^(#^#*#)6 \(f_{\omega^{\omega^\omega6}}(100)\)
Epto-godgathor E100#^(#^#*#)7 \(f_{\omega^{\omega^\omega7}}(100)\)
Ogdo-godgathor E100#^(#^#*#)8 \(f_{\omega^{\omega^\omega8}}(100)\)
Ento-godgathor E100#^(#^#*#)9 \(f_{\omega^{\omega^\omega9}}(100)\)
Dekato-godgathor E100#^(#^#*#)10 \(f_{\omega^{\omega^\omega10}}(100)\)
Isosto-godgathor E100#^(#^#*#)20 \(f_{\omega^{\omega^\omega20}}(100)\)
Trianto-godgathor E100#^(#^#*#)30 \(f_{\omega^{\omega^\omega30}}(100)\)
Saranto-godgathor E100#^(#^#*#)40 \(f_{\omega^{\omega^\omega40}}(100)\)
Peninto-godgathor E100#^(#^#*#)50 \(f_{\omega^{\omega^\omega50}}(100)\)
Exinto-godgathor E100#^(#^#*#)60 \(f_{\omega^{\omega^\omega60}}(100)\)
Ebdominto-godgathor E100#^(#^#*#)70 \(f_{\omega^{\omega^\omega70}}(100)\)
Ogdonto-godgathor E100#^(#^#*#)80 \(f_{\omega^{\omega^\omega80}}(100)\)
Eneninto-godgathor E100#^(#^#*#)90 \(f_{\omega^{\omega^\omega90}}(100)\)
Hecato-godgathor E100#^(#^#*#)100 \(f_{\omega^{\omega^{\omega+1}}}(100)\)
Godgridgathor E100#^(#^#*##)100 \(f_{\omega^{\omega^{\omega+2}}}(100)\)
Godkubikgathor E100#^(#^#*###)100 \(f_{\omega^{\omega^{\omega+3}}}(100)\)
Godquarticgathor E100#^(#^#*####)100 \(f_{\omega^{\omega^{\omega+4}}}(100)\)
Godgathordeus E100#^(#^#*#^#)100 \(f_{\omega^{\omega^{\omega2}}}(100)\)
Hecato-godgathordeus E100#^(#^#*#^#*#)100 \(f_{\omega^{\omega^{\omega2+1}}}(100)\)
Godgridgathordeus E100#^(#^#*#^#*##)100 \(f_{\omega^{\omega^{\omega2+2}}}(100)\)
[[Godkubikgathordeus E100#^(#^#*#^#*###)100 \(f_{\omega^{\omega^{\omega2+3}}}(100)\)
Godquarticgathordeus E100#^(#^#*#^#*####)100 \(f_{\omega^{\omega^{\omega2+4}}}(100)\)
Godgathortruce E100#^(#^#*#^#*#^#)100 \(f_{\omega^{\omega^{\omega3}}}(100)\)
Godgathorquad E100#^(#^#*#^#*#^#*#^#)100 \(f_{\omega^{\omega^{\omega4}}}(100)\)
Godgathorquid E100#^(#^#*#^#*#^#*#^#*#^#)100 = E100#^#^##5 \(f_{\omega^{\omega^{\omega5}}}(100)\)
Godgathorsid E100#^#^##6 \(f_{\omega^{\omega^{\omega6}}}(100)\)
Godgathorseptuce E100#^#^##7 \(f_{\omega^{\omega^{\omega7}}}(100)\)
Godgathoroctuce E100#^#^##8 \(f_{\omega^{\omega^{\omega8}}}(100)\)
Godgathornonice E100#^#^##9 \(f_{\omega^{\omega^{\omega9}}}(100)\)
Godgathordecice E100#^#^##10 \(f_{\omega^{\omega^{\omega10}}}(100)\)
Godgathorvigintice E100#^#^##20 \(f_{\omega^{\omega^{\omega20}}}(100)\)
Godgathortrigintice E100#^#^##30 \(f_{\omega^{\omega^{\omega30}}}(100)\)
Godgathorquadragintice E100#^#^##40 \(f_{\omega^{\omega^{\omega40}}}(100)\)
Godgathorquinquagintice E100#^#^##50 \(f_{\omega^{\omega^{\omega50}}}(100)\)
Godgathorsexagintice E100#^#^##60 \(f_{\omega^{\omega^{\omega60}}}(100)\)
Godgathorseptuagintice E100#^#^##70 \(f_{\omega^{\omega^{\omega70}}}(100)\)
Godgathoroctogintice E100#^#^##80 \(f_{\omega^{\omega^{\omega80}}}(100)\)
Godgathornonagintice E100#^#^##90 \(f_{\omega^{\omega^{\omega90}}}(100)\)

Sources

  1. Saibian, Sbiis. Cascading-E Numbers. Retrieved 2017-10-13.
Saibian's regiments

Hyper-E regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E regiments: Tethrathoth regiment · Monster-Giant regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethrennon regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentacthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptacthulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment
Beyond...: Blasphemorgulus regiment

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