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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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Dektoogol regiment Gridgahlah regiment

List of numbers of the regiment Edit

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 Edit

  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 · Tethraennon 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

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