User blog:Ubersketch/Hypernomial representation of ordinals

https://googology.wikia.org/wiki/User_blog:Ubersketch/Hypernomial_Hierarchy

0 = 0

1 = S(0)

2 = S(1)

and so on...

w = w

w+1 = S(w)

w2 = F(w)([S(w)]1)