User blog comment:Emlightened/Hypernomials (Γ₀)/@comment-5529393-20160120163011/@comment-27513631-20160314174736

(Sorry for the two-month-wait.)

No. Although any expression can be seen as XX, that's just because the function (for lack of a better term) is right associative. For instance: 3X<3>(X+1)>3 = 3(X<3>(X+1))>3. The brackets are unnecessary due to the right associativity, and somewhat hinder the usage of the # symbol.

The key difference (I suppose) is that the right-associativity is implied by the # being on the right, not the left. The nesting is automatic.