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The goobolplexidex is equal to {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolplex times). The term was coined by HaydenTheGoogologist2009.[1]

Approximations[]

Notation Approximation
Bowers' Exploding Array Function \(\lbrace10,\text{goobolplex}+1,2(1)2\rbrace\)
Bird's array notation \(\lbrace10,\text{goobolplex}+1,2[2]2\rbrace\)
DeepLineMadom's Array Notation 10[2{2}2](goobolplex + 1)
Cascading-E notation \(E100\#\text{^}\#100\#(2+E100\#\text{^}\#99\#2)\)
Hyperfactorial array notation \(100![\text{goobolplex}+2,1,1,2]\)
Strong array notation s(10, goobolplex + 1, 2 {2} 2)
Fast-growing hierarchy \(f_{\omega^{\omega}}^{f_{\omega^{98}}^2(100)}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega}}}^{H_{\omega^{\omega^{98}}2}(100)}(100)\)

Sources[]

  1. Hayden's Big Numbers - Goobol series. Retrieved 2022-09-14.
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