Consult the sheet or consult this.
Φf_n(x) = x[x]x = x[x+1]2
Φf_α(x) = Φf_α[x](x)
Φf_(n,0)(x) = Φf_n(x)
Φf_(n,m)(x) = Φf_(Φf_(n,m-1))()
Φf_(n...o,0)(x) = Φf_(n...o)
Φf_(n...o,m)(x) = Φf_(n...Φf_(n...o,m-1),0)(x)
Φf_(<n,m>) = Φf_(0,0...m...0,0)(x) (a <#,#> is an optaparameter and yes, optaparameters can use ordinals)
Φf_(<10,1>)(x) = Φf_(0,0,0,0,0,0,0,0,0,1)(x)
Φf_(<5,1><10,1>)(x) = Φf_(0,0,0,0,1,0,0,0,0,1)(x)
Φf_(<n,m,l>)(x) = Φf_(<n[1],m[1]>...<n[l],m[l]>)(x)
Φf_(<n,m,l,o>)(x) = Φf_(<n[o],m[o],l[o]>...<n[o],m[o],l[o]>)(x)