The hyper-hyper-hecataelgathorcentice is equal to E100#^#^#^#^#^#101 = E100(#^#^#^#^#^101)100 using Cascading-E Notation.[1] The term was coined by Sbiis Saibian.
Approximations in other notations
| Notation | Approximation |
|---|---|
| BEAF | \(\{100,101 (((1) 1) 1) 2\}\) |
| Bird's array notation | \(\{100,101 [1 [1 [2] 2] 2] 2\}\) |
| Hyperfactorial array notation | \(100![1,[1,[1,[1,[1,1,102],1,2],1,3],1,4],1,5]\) |
| Fast-growing hierarchy | \(f_{\omega^{\omega^{\omega^{\omega^{\omega^{101}}}}}}(100)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^{101}}}}}}}(100)\) |
| Slow-growing hierarchy | \(g_{\vartheta(\Omega^{\Omega^{\Omega^{\Omega^{\Omega^{100} \omega}}}})}(100)\) |
Sources
- ↑ Saibian, Sbiis. 4.3.5 Cascading-E Numbers. One to Infinity. Retrieved 2016-09-09.