We start to extended factorial.

Rule 1 : n!0 = 1

Rule 2 : n!1 = 1*2*...*n-1*n

Rule 3 : n!m = (n!m-1)!

The growth rate is \(f_3(n)\).


33!2 = (33!)!

33!3 = ((33!)!)!


Anyone make \(f_4(n)\) growth factorial?

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