User blog comment:Wythagoras/FGH Dollars Function/@comment-5150073-20130710155414/@comment-7484840-20130710160645

The psi_1 function can only use Omega_2, not Omega, and psi is short for psi_0, and if psi_n can be added in if needed to collapse Omega_{n+1} if a lower psi exists. Therefore, psi(Omega_2) = psi_0(psi_1(Omega_2)) which is I think what you mean by psi(psi_1(Omega)).