User blog comment:Alejandro Magno/Make an extension of the Notation! (my style)/@comment-25371339-20140924220915/@comment-25371339-20140924221734

Extension 2:

((0))#n = (n)#n ((0)0)#n = ((0))#n ((0)1)#n = ((0))((0))((0))...((0))((0))((0))#n with n ((0))'s

((0)(0))#n = ((0)n)#n

((1))#n = ((0)(0)(0)...(0)(0)(0))#n with n (0)'s

etc.

We can have ((2)), ((m)), (((0))), (((1))), ((((0)))), (((((0))))), etc.

Limit is (((...(((m)))...)))#n