Planduans is equal to [2,2] using PlantStar's Debut Notation.[1] The term was coined by PlantStar.
Since the original definition of this notation didn't define the rules of [2,2] yet, this number was initially ill-defined.
Later, DeepLineMadom pointed out in that user page and fixed the ill-definedness for the rule applicable to this expression, and is equal to 48482,304 ≈ 106.38912×103,873.
Approximations[]
Here, we write an approximation of this number with respect to the fixed definition given by DeepLineMadom.
| Notation | Approximation |
|---|---|
| Bowers' Exploding Array Function | {48,{48,2304}} (exact) |
| Bird's array notation | {48,{48,2304}} (exact) |
| Chained arrow notation | \(48 \rightarrow (48 \rightarrow 2304)\) (exact) |
| Hyper-E notation | E[48]2#3 (exact) |
| Fast-growing hierarchy | \(f_{2}^2(12855)\) |
| Hardy hierarchy | \(H_{\omega^{2}2}(12855)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^2}}}(48)\) (exact) |
Sources[]
See also[]
Lineus series: lineus · planus · spacus · tetrus · pentus · hexus · heptus · octus · nonus · decus · undecus · duodecus · tredecus · vigintus · trigintus · quadragintus
Lineans series: lineans · centus · millus · planans · spacans · tetrans · pentans · decans · vigintans · trigintans · quadragintans · lineduans · centans · planduans · spacduans · decduans · viginduans · linetrians · plantrians · spactrians · dectrians · linequadrans · planquadrans · decquadrans · linequintans · decquintans · linesextans · lineseptans · lineoctans · linenovans · linedecans · lineundecans · linedodecans · linetridecans · lineicosans · linetriacontans · linetetracontans
Enalineans series: enalineans · enaplanans · enaspacans · enadecans · enalineduans · enadecduans · enalinetrians · enalinedecans · enalineicosans · diolineans · dioplanans · diodecans · diolineduans · diolinetrians · diolinedecans · trialineans · triaplanans · trialineduans · trialinedecans · tesseralineans · tesseralineduans · pendelineans · exilineans · eptalineans · oktolineans · enealineans