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The Pentaetherfactor is equal to 100![#,3] = 100!#^^^# in Extensible ! Notation. The term was coined by Yabuszko[1].

Approximations in other notations

Notation Approximation
BEAF \(X\uparrow\uparrow\uparrow X\ \& \ 100\)
Bird's Array Notation \(\{100,100[1\backslash1\backslash2]2\}\)
Extended Cascading-E notation \(E100\#\text{^^}\#\#100\)
X-Sequence Hyper-Exponential Notation \(100\{X>>X\}100\)
Fast-growing hierarchy \(f_{\zeta_0}(100)\)

Sources

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