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The gooaolex is equal to a(10,100,1)x[2] using Aarex's Array Notation.[1] The term was coined by Aarex Tiaokhiao.

Approximations[]

Notation Lower bound Upper bound
Arrow notation \(10\uparrow10\uparrow102\) \(769\uparrow470\uparrow38\)
Down-arrow notation \(10\downarrow\downarrow103\) \(662\downarrow\downarrow37\)
Steinhaus-Moser Notation 56[3][3] 57[3][3]
Copy notation 9[9[102]] 1[1[103]]
H* function H(333H(32)) H(334H(32))
Taro's multivariable Ackermann function A(3,A(3,337)) A(3,A(3,338))
Pound-Star Notation #*((1))*(0,6,1,4,5)*7 #*((1))*(7,4,0,4,1)*8
BEAF {10,{10,102}} {769,{470,38}}
Hyper-E notation E102#2 E[662]36#2
Bashicu matrix system (0)(1)[18] (0)(1)[19]
Hyperfactorial array notation (69!)! (70!)!
Fast-growing hierarchy \(f_2(f_2(332))\) \(f_2(f_2(333))\)
Hardy hierarchy \(H_{\omega^22}(332)\) \(H_{\omega^22}(333)\)
Slow-growing hierarchy \(g_{\omega^{\omega^{\omega^2+2}+\omega^2+2}}(10)\)

Sources[]