User:Googleaarex/Extended Up-Arrow Notation/Legions

Legion Array Up-arrow Notation is sixth part of Extended Up-arrow Notation series.

2-Typed Arrays
Let \(a \uparrow_{((_1 0)\uparrow)\uparrow} b = a \uparrow_{\underbrace{((... ((b)\uparrow)\uparrow ...)\uparrow)\uparrow}_{b}} a\).

Subscript-Typed Arrays
Let \(a \uparrow_{((_{_1 0} 0)\uparrow)\uparrow} b = a \uparrow_{\underbrace{((_{... ((_{b} 0)\uparrow)\uparrow ...} 0)\uparrow)\uparrow}_{b}} a\).