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The godgahlah regiment is a series of numbers from E100#^#100 to E100#^##90 defined using Extended Hyper-E Notation (i.e. beginning from godgahlah and up to eneninto-godgahlah).[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) Godgahlah E100#^#100 $$f_{\omega^\omega}(100)$$ Godgahlahgong E100,000#^#100,000 $$f_{\omega^\omega}(100,000)$$ Googahlah E100#^#googol $$f_{\omega^\omega}(10^{100})$$ Grand godgahlah E100#^#100#2 $$f_{\omega^\omega}^2(100)$$ Grand godgahlahgong E100,000#^#100,000#2 $$f_{\omega^\omega}^2(100,000)$$ Grand grand godgahlah E100#^#100#3 $$f_{\omega^\omega}^3(100)$$ Grand grand grand godgahlah E100#^#100#4 $$f_{\omega^\omega}^4(100)$$ Grand grand grand grand godgahlah E100#^#100#5 $$f_{\omega^\omega}^5(100)$$ Hundred-ex-grand godgahlah E100#^#100#101 $$f_{\omega^\omega}^{101}(100)$$ Grandgahlah E100#^#100#100 $$f_{\omega^\omega+1}(100)$$ Grand grandgahlah E100#^#100#100#2 $$f_{\omega^\omega+1}^2(100)$$ Greagahlah E100#^#100#100#100 $$f_{\omega^\omega+2}(100)$$ Gigangahlah E100#^#100#100#100#100 $$f_{\omega^\omega+3}(100)$$ Gorgegahlah E100#^#100#100#100#100#100 $$f_{\omega^\omega+4}(100)$$ Gulgahlah E100#^#100#100#100#100#100#100 $$f_{\omega^\omega+5}(100)$$ Gaspgahlah E100#^#100#100#100#100#100#100#100 $$f_{\omega^\omega+6}(100)$$ Ginorgahlah E100#^#100#100#100#100#100#100#100#100 $$f_{\omega^\omega+7}(100)$$ Gargangahlah E100#^#100##9 $$f_{\omega^\omega+8}(100)$$ Googongahlah E100#^#100##10 $$f_{\omega^\omega+9}(100)$$ Gugoldgahlah E100#^#100##100 $$f_{\omega^\omega+99}(100)$$ Graatagoldgahlah E100#^#100##100#100 $$f_{\omega^\omega+\omega+1}(100)$$ Greegoldgahlah E100#^#100##100#100#100 $$f_{\omega^\omega+\omega+2}(100)$$ Grinningoldgahlah E100#^#100##100#100#100#100 $$f_{\omega^\omega+\omega+3}(100)$$ Golaagoldgahlah E100#^#100##100#100#100#100#100 $$f_{\omega^\omega+\omega+4}(100)$$ Gruelohgoldgahlah E100#^#100##100#100#100#100#100#100 $$f_{\omega^\omega+\omega+5}(100)$$ Gaspgoldgahlah E100#^#100##100#100#100#100#100#100#100 $$f_{\omega^\omega+\omega+6}(100)$$ Ginorgoldgahlah E100#^#100##100#100#100#100#100#100#100#100 $$f_{\omega^\omega+\omega+7}(100)$$ Gargantuuldgahlah E100#^#100##100##9 $$f_{\omega^\omega+\omega+8}(100)$$ Googondoldgahlah E100#^#100##100##10 $$f_{\omega^\omega+\omega+9}(100)$$ Gugolthragahlah E100#^#100##100##100 $$f_{\omega^\omega+\omega2}(100)$$ Gugolteslagahlah E100#^#100##100##100##100 $$f_{\omega^\omega+\omega3}(100)$$ Gugolpetagahlah E100#^#100##100##100##100##100 $$f_{\omega^\omega+\omega4}(100)$$ Gugolhexagahlah E100#^#100##100##100##100##100##100 $$f_{\omega^\omega+\omega5}(100)$$ Gugolheptagahlah E100#^#100##100##100##100##100##100##100 $$f_{\omega^\omega+\omega6}(100)$$ Gugoloctagahlah E100#^#100##100##100##100## 100##100##100##100 $$f_{\omega^\omega+\omega7}(100)$$ Gugolennagahlah E100#^#100###9 $$f_{\omega^\omega+\omega8}(100)$$ Gugoldekagahlah E100#^#100###10 $$f_{\omega^\omega+\omega9}(100)$$ throogahlah E100#^#100###100 $$f_{\omega^\omega+\omega99}(100)$$ Throotrigahlah E100#^#100###100###100 $$f_{\omega^\omega+\omega^22}(100)$$ Throotergahlah E100#^#100###100###100###100 $$f_{\omega^\omega+\omega^23}(100)$$ Throopetgahlah E100#^#100####5 $$f_{\omega^\omega+\omega^24}(100)$$ Throohexgahlah E100#^#100####6 $$f_{\omega^\omega+\omega^25}(100)$$ Throoheptgahlah E100#^#100####7 $$f_{\omega^\omega+\omega^26}(100)$$ Throogogdgahlah E100#^#100####8 $$f_{\omega^\omega+\omega^27}(100)$$ Throogentgahlah E100#^#100####9 $$f_{\omega^\omega+\omega^28}(100)$$ Throodekgahlah E100#^#100####10 $$f_{\omega^\omega+\omega^29}(100)$$ Tetroogahlah E100#^#100####100 $$f_{\omega^\omega+\omega^3}(100)$$ Pentoogahlah E100#^#100#####100 $$f_{\omega^\omega+\omega^4}(100)$$ Hexoogahlah E100#^#100######100 $$f_{\omega^\omega+\omega^5}(100)$$ Heptoogahlah E100#^#100#######100 $$f_{\omega^\omega+\omega^6}(100)$$ Ogdoogahlah E100#^#100########100 $$f_{\omega^\omega+\omega^7}(100)$$ Entoogahlah E100#^#100#^#9 $$f_{\omega^\omega+\omega^8}(100)$$ Dektoogahlah E100#^#100#^#10 $$f_{\omega^\omega+\omega^9}(100)$$ Gotrigahlah E100#^#100#^#100 $$f_{\omega^\omega2}(100)$$ Grangotrigahlah E100#^#100#^#100#100 $$f_{\omega^\omega2+1}(100)$$ Greagotrigahlah E100#^#100#^#100#100#100 $$f_{\omega^\omega2+2}(100)$$ Gigangotrigahlah E100#^#100#^#100#100#100#100 $$f_{\omega^\omega2+3}(100)$$ Gorgegotrigahlah E100#^#100#^#100##5 $$f_{\omega^\omega2+4}(100)$$ Gulgotrigahlah E100#^#100#^#100##6 $$f_{\omega^\omega2+5}(100)$$ Gaspgotrigahlah E100#^#100#^#100##7 $$f_{\omega^\omega2+6}(100)$$ Ginorgotrigahlah E100#^#100#^#100##8 $$f_{\omega^\omega2+7}(100)$$ Gargangotrigahlah E100#^#100#^#100##9 $$f_{\omega^\omega2+8}(100)$$ Googongotrigahlah E100#^#100#^#100##10 $$f_{\omega^\omega2+9}(100)$$ Gugoldgotrigahlah E100#^#100#^#100##100 $$f_{\omega^\omega2+99}(100)$$ Gugolthragotrigahlah E100#^#100#^#100##100##100 $$f_{\omega^\omega2+\omega2}(100)$$ Gugolteslagotrigahlah E100#^#100#^#100##100##100##100 $$f_{\omega^\omega2+\omega3}(100)$$ Gugolpetagotrigahlah E100#^#100#^#100###5 $$f_{\omega^\omega2+\omega4}(100)$$ Gugolhexagotrigahlah E100#^#100#^#100###6 $$f_{\omega^\omega2+\omega5}(100)$$ Gugolheptagotrigahlah E100#^#100#^#100###7 $$f_{\omega^\omega2+\omega6}(100)$$ Gugoloctagotrigahlah E100#^#100#^#100###8 $$f_{\omega^\omega2+\omega7}(100)$$ Gugolennagotrigahlah E100#^#100#^#100###9 $$f_{\omega^\omega2+\omega8}(100)$$ Gugoldekagotrigahlah E100#^#100#^#100###10 $$f_{\omega^\omega2+\omega9}(100)$$ Throogotrigahlah E100#^#100#^#100###100 $$f_{\omega^\omega2+\omega99}(100)$$ Throotrigotrigahlah E100#^#100#^#100###100###100 $$f_{\omega^\omega2+\omega^22}(100)$$ Throotergotrigahlah E100#^#100#^#100###100###100###100 $$f_{\omega^\omega2+\omega^23}(100)$$ Throopetgotrigahlah E100#^#100#^#100####5 $$f_{\omega^\omega2+\omega^24}(100)$$ Throohexgotrigahlah E100#^#100#^#100####6 $$f_{\omega^\omega2+\omega^25}(100)$$ Throoheptgotrigahlah E100#^#100#^#100####7 $$f_{\omega^\omega2+\omega^26}(100)$$ Throogogdgotrigahlah E100#^#100#^#100####8 $$f_{\omega^\omega2+\omega^27}(100)$$ Throogentgotrigahlah E100#^#100#^#100####9 $$f_{\omega^\omega2+\omega^28}(100)$$ Throodekgotrigahlah E100#^#100#^#100####10 $$f_{\omega^\omega2+\omega^29}(100)$$ Tetroogotrigahlah E100#^#100#^#100####100 $$f_{\omega^\omega2+\omega^3}(100)$$ Hexoogotrigahlah E100#^#100#^#100######100 $$f_{\omega^\omega2+\omega^5}(100)$$ Heptoogotrigahlah E100#^#100#^#100#######100 $$f_{\omega^\omega2+\omega^6}(100)$$ Ogdoogotrigahlah E100#^#100#^#100########100 $$f_{\omega^\omega2+\omega^7}(100)$$ Entoogotrigahlah E100#^#100#^#100#^#9 $$f_{\omega^\omega2+\omega^8}(100)$$ Dektoogotrigahlah E100#^#100#^#100#^#10 $$f_{\omega^\omega2+\omega^9}(100)$$ Gotergahlah E100#^#100#^#100#^#100 $$f_{\omega^\omega3}(100)$$ Goppegahlah E100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega4}(100)$$ Gohexgahlah E100#^#100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega5}(100)$$ Gohepgahlah E100#^#100#^#100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega6}(100)$$ Go-ahtgahlah E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega7}(100)$$ Go-enngahlah E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega8}(100)$$ Godekahlah E100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100#^#100 $$f_{\omega^\omega9}(100)$$ Gohectgahlah E100#^#*#100 $$f_{\omega^{\omega+1}}(100)$$ Godgoldgahlah E100#^#*#100 $$f_{\omega^{\omega+1}}(100)$$ Gotrigoldgahlah E100#^#*#100#^#*#100 = E100#^#*##3 $$f_{\omega^{\omega+1}2}(100)$$ Gotergoldgahlah E100#^#*#100#^#*#100#^#*#100 $$f_{\omega^{\omega+1}3}(100)$$ Goppegoldgahlah E100#^#*##5 $$f_{\omega^{\omega+1}4}(100)$$ Gohexgoldgahlah E100#^#*##6 $$f_{\omega^{\omega+1}5}(100)$$ Gohepgoldgahlah E100#^#*##7 $$f_{\omega^{\omega+1}6}(100)$$ Go-ahtgoldgahlah E100#^#*##8 $$f_{\omega^{\omega+1}7}(100)$$ Go-enngoldgahlah E100#^#*##9 $$f_{\omega^{\omega+1}8}(100)$$ Godekagoldgahlah E100#^#*##10 $$f_{\omega^{\omega+1}9}(100)$$ Godthroogahlah E100#^#*##100 $$f_{\omega^{\omega+2}}(100)$$ Godtetroogahlah E100#^#*###100 $$f_{\omega^{\omega+3}}(100)$$ Godpentoogahlah E100#^#*####100 $$f_{\omega^{\omega+4}}(100)$$ Godhexoogahlah E100#^#*#####100 $$f_{\omega^{\omega+5}}(100)$$ Godheptoogahlah E100#^#*######100 $$f_{\omega^{\omega+6}}(100)$$ Godogdoogahlah E100#^#*#######100 $$f_{\omega^{\omega+7}}(100)$$ Godentoogahlah E100#^#*#^#8 $$f_{\omega^{\omega+8}}(100)$$ Goddektoogahlah E100#^#*#^#9 $$f_{\omega^{\omega+9}}(100)$$ Deutero-godgahlah E100#^#*#^#100 $$f_{\omega^{\omega2}}(100)$$ Deutero-godgoldgahlah E100#^#*#^#*#100 $$f_{\omega^{\omega2+1}}(100)$$ Deutero-godthroogahlah E100#^#*#^#*##100 $$f_{\omega^{\omega2+2}}(100)$$ Deutero-godtetroogahlah E100#^#*#^#*###100 $$f_{\omega^{\omega2+3}}(100)$$ Deutero-godpentoogahlah E100#^#*#^#*####100 $$f_{\omega^{\omega2+4}}(100)$$ Deutero-godhexoogahlah E100#^#*#^#*#####100 $$f_{\omega^{\omega2+5}}(100)$$ Deutero-godheptoogahlah E100#^#*#^#*######100 $$f_{\omega^{\omega2+6}}(100)$$ Deutero-godogdoogahlah E100#^#*#^#*#######100 $$f_{\omega^{\omega2+7}}(100)$$ Deutero-godentoogahlah E100#^#*#^#*#^#8 $$f_{\omega^{\omega2+8}}(100)$$ Deutero-goddektoogahlah E100#^#*#^#*#^#9 $$f_{\omega^{\omega2+9}}(100)$$ Trito-godgahlah E100#^#*#^#*#^#100 $$f_{\omega^{\omega3}}(100)$$ Teterto-godgahlah E100#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega4}}(100)$$ Pepto-godgahlah E100#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega5}}(100)$$ Exto-godgahlah E100#^#*#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega6}}(100)$$ Epto-godgahlah E100#^#*#^#*#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega7}}(100)$$ Ogdo-godgahlah E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega8}}(100)$$ Ento-godgahlah E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega9}}(100)$$ Dekato-godgahlah E100#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#*#^#100 $$f_{\omega^{\omega10}}(100)$$ Isosto-godgahlah E100#^##20 $$f_{\omega^{\omega20}}(100)$$ Trianto-godgahlah E100#^##30 $$f_{\omega^{\omega30}}(100)$$ Saranto-godgahlah E100#^##40 $$f_{\omega^{\omega40}}(100)$$ Peninto-godgahlah E100#^##50 $$f_{\omega^{\omega50}}(100)$$ Exinto-godgahlah E100#^##60 $$f_{\omega^{\omega60}}(100)$$ Ebdominto-godgahlah E100#^##70 $$f_{\omega^{\omega70}}(100)$$ Ogdonto-godgahlah E100#^##80 $$f_{\omega^{\omega80}}(100)$$ Eneninto-godgahlah E100#^##90 $$f_{\omega^{\omega90}}(100)$$

## Sources

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