User blog comment:Username5243/Extended Up-arrow Notation/@comment-27173506-20160119055902

Yes, it quite clearly does, as adding 1 to the left most number adds 1 iteration (+1 to the FGH level), adding 1 to the 2nd leftmost number adds n of those iterations (+w in the FGH), adding 1 to the 3rd leftmost number adds n of those (+w^2) and so forth.