Linetrians is equal to [3,1] = [2,48] using PlantStar's Debut Notation.[1] The term was coined by PlantStar.
Unfortunately, the original definition of this number is ill defined for now, but later DeepLineMadom pointed out in that user page and fixed the ill-definedness for the rule applicable to this expression, and is equal to 48484848 = 48↑↑4 ≈ 10105.007×1080.
Approximations
Here, we write an approximation of this number with respect to the fixed definition given by DeepLineMadom.
Notation | Approximation |
---|---|
Bowers Exploding Array Function | {48,4,2} (exact) |
Bird's array notation | {48,4,2} (exact) |
Hyper-E notation | E[48]1#4 (exact) |
Chained arrow notation | \(48 \rightarrow 4 \rightarrow 2\) (exact) |
Fast-growing hierarchy | \(f_{2}^3(260)\) |
Hardy hierarchy | \(H_{\omega^{2}3}(260)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^{\omega}}}}(48)\) (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