User blog comment:Flavio61/Croutonillion/@comment-5150073-20130811161857

I suppose that croutonillion can be represented as $$F_\alpha_1(F_\alpha_2(\cdots(F_\alpha_m(n))\cdots))$$, where F is some indexed functional hierarchy (not FGH), and if each step represents some ordinal, then $$\alpha_k$$ is the ordinal represented by the step k.

We see that step 142 tried to refer to itself, and so the set of $$\alpha_{142}$$ contains $$\alpha_{142}$$ itself, making it the fixed point of $$\alpha=\alpha+1$$, in other words, an Absolute Infinity. It is the limit of all ordinals, and so doesn't an ordinal itself, while F must contains an ordinal. This makes croutonillion ill-defined under previous (before I fixed it) definition.