User blog comment:Clarrity/List of ordinals (up to omega^omega)/@comment-30118230-20180225131945/@comment-30754445-20180225203733

These fundamental sequences are not computable, though.

So in the context of Clarrity's project they are completely useless.

(not to take away from Deedlit's work, of-course. Constructing an actual list which can be written down was obviously not his goal, as he was certainly aware that such a goal would be impossible)