The octicutethriterator is equal to E100(#^^#>#)^#^#8 using Extended Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology

The name of this number comes from the prefix "octic-" (means adding "^#^#8") and the number tethriterator.

Approximations in other notations

Notation Approximation
BEAF \(\{100,100 (X \uparrow\uparrow (X+1) * X^8) 2\}\)
Bird's array notation \(\{100,100 [9 \backslash 1,2] 2\}\)
Fast-growing hierarchy \(f_{\varepsilon_{\omega}^{\omega^8}}(100)\)
Hardy hierarchy \(H_{\varepsilon_{\omega}^{\varepsilon_{\omega}^{\omega^8}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega^2}^{\Omega^7 \omega})}(100)\)

Sources

  1. Saibian, Sbiis. 4.3.7 Extended Cascading-E Numbers Part IOne to Infinity. Retrieved 2017-01-02.
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