User blog comment:Primussupremus/More on the construction of my notation./@comment-28606698-20170423084411

I advice you instead of many examples in explanation just to write general rule for all cases, for example as follows:

a,b,c#[d]|{e+1}=a,b,c#[a,b,c#[d]|{e}]

since

a,a,a ≈ f_w(a),

a,a,a#a ≈ f_{w+1}(a)

a,a,a#(a) ≈ f_{w+2}(a)

a,a,a#[a] ≈ f_{w+3}(a)

then

a,a,a#[a]|{a} ≈ f_{w+4}(a)

but in your array still same problem, as I wrote in comment to one of previous posts: we have to introduce new notation and new rule each time when we want to increase index of FGH only by one.