Hayden's Dupertri is equal to 3(3)(3)(3) ... (3)(3)(3)3 (twenty-seven 3's) in Hayden's Array Notation. This term was coined by googology user HaydenTheGoogologist2009.[1]
Approximations
| Notation | Approximation |
|---|---|
| Bowers' Exploding Array Function | \(\{3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4\}\) (exact) |
| Bird's array notation | \(\{3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4\}\) (exact) |
| Cascading-E notation | E3#^#26 |
| Fast-growing hierarchy | \(f_{\omega^25}(3)\) |
| Hardy hierarchy | \(H_{\omega^{\omega^{25}}}(3)\) |
| Slow-growing hierarchy | \(g_{\varphi(\omega,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)}(3)\) |
Sources
- ↑ Hayden's Big Numbers. Retrieved 2022-05-04.