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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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## 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.