n,m,z ∈ ℕ+
n! = nxn-1x....2x1
n¡= (n!xn-1!xn-2!....x1)^(n!xn-1!xn-2!...x1)^.......^(n!xn-1!xn-2!x.....x1) it has n!xn-1!x....x1 amount of power tower
Example1: 13¡ = (13!x12!x11!x....2!x1!)^(13!x12!x11!x....2!x1!)^....^(13!x12!x11!x....2!x1!) it has 13!x12!x11!x....2!x1! amount of power tower.
Example2: 1¡ = (1!)^(1!) it has 1! amount of power tower.
n¡¡¡...(z amount of ¡:s)...¡¡^m means that if you want to write without (^m) [n¡¡¡....¡¡¡] than you have to write (z!xz-1!...1!)^(z!xz-1!...1!)^.......^(z!xz-1!...1) (m amount of power tower) amount of ¡:s next to n