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[]
- ↑ Saibian, Sbiis. 4.3.5 Cascading-E Numbers. One to Infinity. Retrieved 2016-09-09.