User blog comment:Deedlit11/Ordinal Notations I: Up to the Schutte Klammersymbolen/@comment-1605058-20130630091058/@comment-1605058-20130630193237

As there is only finitely many nonzero entries, we will never need transfinite ordinals in third row. So this notation isn't any more powerful. I wonder if we can have any significant extension using this.