User blog comment:D57799/feeding FGH into FGH/@comment-11227630-20141006012529

FGH for numbers is defined as follows: The first two also work in FGH for ordinals, but the last doesn't because the fundamental sequence for a countable limit ordinal has only $$\omega$$ ordinals.
 * 1) $$f_0(n)=n+1$$
 * 2) $$f_{\alpha+1}(n)=f_\alpha^n(n)$$
 * 3) $$f_\alpha(n)=f_{\alpha[n]}(n)$$ iff $$\alpha$$ is a limit ordinal