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The ogdoogol regiment is a series of numbers from E100#^(8)100 to E100#^(9)10 defined using Extended Hyper-E Notation (i.e. beginning from ogdoogol and up to ogdoodekol).[1][2] The numbers were coined by Sbiis Saibian.

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## List of numbers of the regiment

 Name of number Extended Hyper-E Notation (definition) Fast-growing hierarchy (approximation) ogdoogol E100#^(8)100 $$f_{\omega^7}(100)$$ grand ogdoogol E100#^(8)100#2 $$f_{\omega^7}^2(100)$$ ogdrangol E100#^(8)100#100 $$f_{\omega^7+1}(100)$$ ogdreagol E100#^(8)100#100#100 $$f_{\omega^7+2}(100)$$ ogdigangol E100#^(8)100#100#100#100 $$f_{\omega^7+31}(100)$$ ogdorgegol E100#^(8)100##5 $$f_{\omega^7+4}(100)$$ ogdulgol E100#^(8)100##6 $$f_{\omega^7+5}(100)$$ ogdaspgol E100#^(8)100##7 $$f_{\omega^7+6}(100)$$ ogdinorgol E100#^(8)100##8 $$f_{\omega^7+7}(100)$$ ogdargantuul E100#^(8)100##9 $$f_{\omega^7+8}(100)$$ ogdoogondol E100#^(8)100##10 $$f_{\omega^7+9}(100)$$ ogdugold E100#^(8)100##100 $$f_{\omega^7+99}(100)$$ ogdugolthra E100#^(8)100##100##100 $$f_{\omega^7+\omega2}(100)$$ ogdugoltesla E100#^(8)100##100##100##100 $$f_{\omega^7+\omega3}(100)$$ ogdugolpeta E100#^(8)100###5 $$f_{\omega^7+\omega4}(100)$$ ogdugolhexa E100#^(8)100###6 $$f_{\omega^7+\omega5}(100)$$ ogdugolhepta E100#^(8)100###7 $$f_{\omega^7+\omega6}(100)$$ ogdugolocta E100#^(8)100###8 $$f_{\omega^7+\omega7}(100)$$ ogdugolenna E100#^(8)100###9 $$f_{\omega^7+\omega8}(100)$$ ogdugoldeka E100#^(8)100###10 $$f_{\omega^7+\omega9}(100)$$ ogdithroogol E100#^(8)100###100 $$f_{\omega^7+\omega99}(100)$$ ogdithrootrigol E100#^(8)100###100###100 $$f_{\omega^7+\omega^22}(100)$$ ogdithrootergol E100#^(8)100###100###100###100 $$f_{\omega^7+\omega^23}(100)$$ ogdithroopetol E100#^(8)100####5 $$f_{\omega^7+\omega^24}(100)$$ ogdithroohexol E100#^(8)100####6 $$f_{\omega^7+\omega^25}(100)$$ ogdithrooheptgol E100#^(8)100####7 $$f_{\omega^7+\omega^26}(100)$$ ogdithroogogdol E100#^(8)100####8 $$f_{\omega^7+\omega^27}(100)$$ ogdithroogentol E100#^(8)100####9 $$f_{\omega^7+\omega^28}(100)$$ ogdithroodekol E100#^(8)100####10 $$f_{\omega^7+\omega^29}(100)$$ ogditetroogol E100#^(8)100####100 $$f_{\omega^7+\omega^299}(100)$$ ogditetrootrigol E100#^(8)100####100####100 $$f_{\omega^7+\omega^32}(100)$$ ogditetrootergol E100#^(8)100####100####100####100 $$f_{\omega^7+\omega^33}(100)$$ ogditetroopetol E100#^(8)100#####5 $$f_{\omega^7+\omega^34}(100)$$ ogditetroohexol E100#^(8)100#####6 $$f_{\omega^7+\omega^35}(100)$$ ogditetrooheptgol E100#^(8)100#####7 $$f_{\omega^7+\omega^36}(100)$$ ogditetroogogdol E100#^(8)100#####8 $$f_{\omega^7+\omega^37}(100)$$ ogditetroogentol E100#^(8)100#####9 $$f_{\omega^7+\omega^38}(100)$$ ogditetroodekol E100#^(8)100#####10 $$f_{\omega^7+\omega^39}(100)$$ ogdipentoogol E100#^(8)100#####100 $$f_{\omega^7+\omega^399}(100)$$ ogdipentootrigol E100#^(8)100#####100#####100 $$f_{\omega^7+\omega^42}(100)$$ ogdipentootergol E100#^(8)100#####100#####100#####100 $$f_{\omega^7+\omega^43}(100)$$ ogdipentoopetol E100#^(8)100#^(6)5 $$f_{\omega^7+\omega^44}(100)$$ ogdipentoohexol E100#^(8)100#^(6)6 $$f_{\omega^7+\omega^45}(100)$$ ogdipentooheptgol E100#^(8)100#^(6)7 $$f_{\omega^7+\omega^46}(100)$$ ogdipentoogogdol E100#^(8)100#^(6)8 $$f_{\omega^7+\omega^47}(100)$$ ogdipentoogentol E100#^(8)100#^(6)9 $$f_{\omega^7+\omega^48}(100)$$ ogdipentoodekol E100#^(8)100#^(6)10 $$f_{\omega^7+\omega^49}(100)$$ ogdihexoogol E100#^(8)100#^(6)100 $$f_{\omega^7+\omega^499}(100)$$ ogdihexootrigol E100#^(8)100#^(6)100#^(6)100 $$f_{\omega^7+\omega^52}(100)$$ ogdihexootergol E100#^(8)100#^(6)100#^(6)100#^(6)100 $$f_{\omega^7+\omega^53}(100)$$ ogdihexoopetol E100#^(8)100#^(7)5 $$f_{\omega^7+\omega^54}(100)$$ ogdihexoohexol E100#^(8)100#^(7)6 $$f_{\omega^7+\omega^55}(100)$$ ogdihexooheptgo E100#^(8)100#^(7)7 $$f_{\omega^7+\omega^56}(100)$$ ogdihexoogogdol E100#^(8)100#^(7)8 $$f_{\omega^7+\omega^57}(100)$$ ogdihexoogentol E100#^(8)100#^(7)9 $$f_{\omega^7+\omega^58}(100)$$ ogdihexoodekol E100#^(8)100#^(7)10 $$f_{\omega^7+\omega^59}(100)$$ ogdiheptoogol E100#^(8)100#^(7)100 $$f_{\omega^7+\omega^599}(100)$$ ogdiheptootrigol E100#^(8)100#^(7)100#^(7)100 $$f_{\omega^7+\omega^62}(100)$$ ogdiheptootergol E100#^(8)100#^(7)100#^(7)100#^(7)100 $$f_{\omega^7+\omega^63}(100)$$ ogdiheptoopetol E100#^(8)100#^(8)5 $$f_{\omega^7+\omega^64}(100)$$ ogdiheptoohexol E100#^(8)100#^(8)6 $$f_{\omega^7+\omega^65}(100)$$ ogdiheptooheptgol E100#^(8)100#^(8)7 $$f_{\omega^7+\omega^66}(100)$$ ogdiheptoogogdol E100#^(8)100#^(8)8 $$f_{\omega^7+\omega^67}(100)$$ ogdiheptoogentol E100#^(8)100#^(8)9 $$f_{\omega^7+\omega^68}(100)$$ ogdiheptoodekol E100#^(8)100#^(8)10 $$f_{\omega^7+\omega^69}(100)$$ ogdootrigol E100#^(8)100#^(8)100 $$f_{\omega^72}(100)$$ ogdootergol E100#^(8)100#^(8)100#^(8)100 $$f_{\omega^73}(100)$$ ogdoopetol E100#^(9)5 $$f_{\omega^74}(100)$$ ogdoohexol E100#^(9)6 $$f_{\omega^75}(100)$$ ogdooheptgol E100#^(9)7 $$f_{\omega^76}(100)$$ ogdoogogdol E100#^(9)8 $$f_{\omega^77}(100)$$ ogdoogentol E100#^(9)9 $$f_{\omega^78}(100)$$ ogdoodekol E100#^(9)10 $$f_{\omega^79}(100)$$

## Sources

1. Saibian, Sbiis. Extended Hyper-E Numbers. Retrieved 2017-09-11.
2. Sbiis Saibian's Ultimate Large Numbers List - Part I