User blog:Googleaarex/Factorial N-ational

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

We continue factorial:

n!1(L2) = n!n,...,n (n n's) - This is hexational factorial.

n!1(L3) = n!n,...,n(L2) (n n's)

n!...(LX) = n!...(Ln)

n!...(LL) = n!...(Ln!)

n!...(LLL) = n!...(LLn!)

n!...(L1),(L2) = n!...(LL...LL) (n L's) - This is heptational factorial.

n!...(L1),(L1),(L2) = n!...(L1),(LL...LL) (n L's) - This is octational factorial.

n!...(L1),(L1),(L1),(L2) = n!...(L1),(L1),(LL...LL) (n L's) - This is nonational factorial.

The growth rate is \(f_\omega(n) > n!_#(L1),...(L1),(L2)\) (n-4 (L1)'s).