User blog comment:Mh314159/new YIP notation/@comment-39585023-20190705220451/@comment-39585023-20190706194111

Is the following generalization to n terms consistent with the definition of [a,b] and does it continue the growth rate. Once I have a good definition for n terms I guess I need a new symbol to start recursing the number of terms.

N bracketed numbers:

drop zeroes and collapse

[a,b,...,α,β] with N terms = {m}mm(a)

m = [a,b,...,X,β-1] with N terms

X = [a,b,c...,α-1,β] with N terms

{0}0(x) = [x,x,...,Y,β-1] with N terms

Y = [x,x,...,α-1,β] with N terms

{m}y(x) = {m}y-1{m}y(x-1)(x)

{m}y(1) = {m}y-1(y+1)

{m}0(x) = {m-1}mm(x)