User blog comment:Primussupremus/more depth in the expansions and theory of my array notation part 2./@comment-30754445-20170518192340/@comment-30754445-20170519112748

Then there's a typo in your example. What's written there is 3^(3^27) which is 3^^4.

I now understand that "^(3^27)" is supposed to mean "3^27 arrows" (which is terribly confusing. Why not simply write 3[3^27 arrows]3?) but even so, you're missing a "3" at the end.

Also, why 3^27 arrows? That's not what we get when we follow the rule in the text. It's close, but not quite.

And you've still haven't answered my other question, regarding the number of recursions. The example seems to have 1 recursion too many.

To be fair: After your clarification, I think it is pretty clear what you intended: the textual definition you've given is the correct one). I do think, however, that you should fix these little errors in the example before going any further. Don't you want to know what {3,4,3 | 3} really evaluates to? After all, it's your number (and as far I know, nobody has ever given this specific number a name before, so you can be the first :-)).