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The godheptadekathol is equal to E100#^^#18 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Approximations

Notation Approximation
BEAF \(X\uparrow\uparrow X\&18\)
Bird's array notation \(\{100,9[1\neg2]2\}\)
Fast-growing hierarchy \(f_{\varepsilon_0[19]}(100)\)
\(f_{\omega\uparrow\uparrow 18}(100)\)
Hardy hierarchy \(H_{\varepsilon_0[20]}(100)\)
Slow-growing hierarchy \(g_{\psi(\varepsilon_{\Omega+1})}(18)\)

Sources

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