User blog comment:Luckyluxiuz/Question/@comment-37212455-20191219030832/@comment-39448260-20191219043248

So if \(S(n) = f_{\omega+1}(n)\), then is \(S(S(n)) = f_{\omega+2}(n)?\) And what if \(S_{2}(n) = S(S(S(S \cdots (n)))) = f_{\omega 2}(n)\)? and \(S_{n+1}(m) = f_{\omega n}(n)\)?