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The ennaeloctol is equal to E100#^#^#^#^#^#^#^#^#########100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.

Etymology Edit

The name of this number is based on the prefix "ennael-" (meaning nine hyperions at the top cascade level) and the suffix "-octol" (meaning cascade level 8).

Approximations in other notations Edit

Notation Approximation
BEAF \(\{100,100 ((((0,0,0,0,0,0,0,0,0,1) 1) 1) 1) 2\}\)
Bird's array notation \(\{100,100 [1 [1 [1 [1,1,1,1,1,1,1,1,1,2] 2] 2] 2] 2\}\)
Hyperfactorial array notation \(100![1,[1,[1,[1,[1,[1,[1,[1,99,9],1,2],1,3],1,4],1,5],1,6],1,7],1,8]\)
Fast-growing hierarchy \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^9}}}}}}}}}(100)\)
Hardy hierarchy \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^9}}}}}}}}}}(100)\)
Slow-growing hierarchy \(g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^8 \omega}}}}}}}})}(100)\)

Sources Edit

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

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