Ennaelheptol is equal to E100#^#^#^#^#^#^#^#########100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Etymology[]
The name of this number is based on the prefix "ennael-" (meaning nine hyperions at the top cascade level) and the suffix "-heptol" (meaning cascade level 7).
Approximations in other notations[]
| Notation | Approximation |
|---|---|
| BEAF | \(\{100,100 ((((9) 1) 1) 1) 2\}\) |
| Bird's array notation | \(\{100,100 [1 [1 [1 [10] 2] 2] 2] 2\}\) |
| Hyperfactorial array notation | \(100![1,[1,[1,[1,[1,[1,[1,99,9],1,2],1,3],1,4],1,5],1,6],1,7]\) |
| Fast-growing hierarchy | \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^9}}}}}}}}(100)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^9}}}}}}}}}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{\Omega^8 \omega}}}}}}})}(100)\) |
Sources[]
- ↑ Saibian, Sbiis. 4.3.5 Cascading-E Numbers. One to Infinity. Retrieved 2016-09-09.