User blog comment:JHeroJr/A computable function/@comment-34422464-20190623235636/@comment-34422464-20190624012939

You should try Cantor's Normal Form which looks like 0 and w in Cantor's Normal Form and a^b+c^d+e^f... with a,b,c,d,e,f etc. being in Cantor's Normal Form. ^ is a symbol, + is a symbol, w and 0 is a symbol. The limit is e0.

There is a fundamental sequence system too.

https://googology.wikia.org/wiki/User%3AUbersketch/Guide_to_Googology%2FCantor_Normal_Form