Dihexar is equal to \(Q_{1,1}(6)\) in the Q-supersystem.[1] The term was coined by Boboris02.
The number can be computed like this:
- \(t_{1}=6\uparrow\uparrow\uparrow\uparrow 6\), aka Hexar.
- \(t_{2}=6\uparrow^{t_{1}-2} 6\).
- \(t_{n}=6\uparrow^{t_{n-1}-2} 6\).
- Dihexar is equal to \(t_6\).
Etymology[]
The name comes from the number "Hexar" and "di", meaning two.
Approximations[]
| Notation | Approximation |
|---|---|
| Up-arrow notation | \(6\uparrow^{6\uparrow^{6\uparrow^{6\uparrow^{6\uparrow^{6\uparrow^{4} 6} 6} 6} 6} 6} 6\) |
| Chained arrow notation | \(6\rightarrow 6\rightarrow 6\rightarrow 2\) |
| Fast-growing hierarchy (using CNF's fundamental sequences) | \(f_{\omega+1}(6)\) |
| Hardy hierarchy | \(H_{\omega^{\omega+1}}(6)\) |
| BEAF | \(\{6,6,\{6,6,\{6,6,\{6,6,\{6,6,\{6,6,4\}\}\}\}\}\}\) |
| Hyperfactorial array notation | \(8!(8!(8!(8!(8!(8!3)))))\) |
| Notation Array Notation | \((6\{2,(6,\{2,(6,\{2,(6,\{2,(6,\{2,(6\{2,4\}6)\}6)\}6)\}6)\}6)\}6)\) |