User blog:Googleaarex/Factorial Pentational

At Extended Factorial

1 --> n!

2 --> (n!)!

3 --> ((n!)!)!

m -- > n!m

n -- > n!n

At Pentation-Extended Factorial

n,1 -- > n!n!

n,2 -- > n!n! 2

n,m -- > n!n! m

n,n -- > n!n! n

a,b,c -- > n!a! b! c

n,n,m -- > n!n! n! m

a,b,...,y,z -- > n!a! b! ... y! z

The growth rate is \(f_4(n) > n!_{n,n,...,n,n}\) (n n's)