User blog comment:Alejandro Magno/Make an extension of the Notation! (my style)/@comment-5982810-20140924233634

(0,1)#n = (((...(((n)))...)))#n w/n s

(1,1)#n = (0,1)(0,1)...(0,1)#n w/n (0,1)s

etc.

(0,2)#n = (((...(((n,1),1),1)...,1)#n w/n ,1s

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

(0,0,1)#n = (0,(0,(0,(0, ... (0,n))...))#n w/n 0,s

...

(0,0,0,1)#n = (0,0,(0,0,(0,0,(0,0,( ... (0,0,n))...))#n w/n 0,0,s

etc.

(0,0,0,...,0,0,1)