User blog comment:MachineGunSuper/Continuation to the listaments/@comment-80.98.179.160-20180110124506/@comment-80.98.179.160-20180122175614

(Omega+1)th function: Listt!() is defined as Omegath function repeated Listt!× to n, etc.

(Omega2)th function: Listt!<(n)> is defined as (Omega+k)th function repeated k× to n, where k=Listt!, etc.

(Omega^2)th function: Listt!<>=Listt!<(((((n)))))>th function repeated Listt!<(((((...n parens...(((((n))))...)))))> times. Now we have a total of omega^omega as supremum.