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Batrol is equal to \(\{10,10,100,3 (1) 3\}\) using BEAF. This term was coined by YouTuber Douglas Shamlin Jr.[1]

Approximations[]

Notation Approximation
Bird's array notation \(\{10,10,100,3 [2] 3\}\) (exact)
Cascading-E notation \(\textrm{E}100\#\text{^}\#100\#\text{^}\#100\#\#100\#\#100\)
Fast-growing hierarchy \(f_{\omega^\omega2+\omega3}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^\omega2+\omega3}}(100)\)
Slow-growing hierarchy \(g_{\vartheta((\Omega^\Omega)3+\omega3)}(100)\)

Sources[]

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