Factorial N-ational

We define \(f_5(n)\), \(f_6(n)\), \(f_7(n)\),... factorial.

We continue factorial:

n!_Lm = n!_n,n...n,n (m n's)

n!_Lx,y = n!_Lx!Ly

n!_Lx,y,z = n!_Lx!Ly!Lz

n!_LLm = n!_Ln,n...n,n (m n's)

The growth rate is \(f_\omega(n)\) > n!_LL...LLn (n-2 n's)