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Ogdo-graltothol is equal to E100#^(#^#^##*#)8 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian. This number belongs to the Godtothol regiment.

Approximations[]

Notation Approximation
Bowers' Exploding Array Function {100,100((2)1)((2)1)((2)1)((2)1)((2)1)((2)1)((2)1)((2)1)2}
= {100,8(1(2)1)2}
Bird's array notation {100,100[1[3]2][1[3]2][1[3]2][1[3]2][1[3]2][1[3]2][1[3]2][1[3]2]2}
= {100,8[2[3]2]2}
Strong array notation s(100,8{2{3}2}2)
X-Sequence Hyper-Exponential Notation 100{X^(X^X^X^2*X)}8
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{\omega^{\omega^2} }+1} }[8]}(100)\)
\(=f_{\omega^{\omega^{\omega^{\omega^2} }\times 8 } }(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^2} }+1} }[8]} }(100)\)
\(=H_{\omega^{\omega^{\omega^{\omega^{\omega^2} }\times 8 } } }(100)\)
Slow-growing hierarchy \(g_{\psi_0(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^2} }+1} }[8]} )}(100)\)
\(=g_{\psi_0(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^2} }\times 8 } } )}(100)\) (using Buchholz's function)

Sources[]

  1. Saibian, Sbiis. 4.3.5 Cascading-E NumbersOne to Infinity. Retrieved 2016-09-09.
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