As is pointed out further down, it does effectively invent tetration, which is cool, but that's not Knuth's arrow notation.
Edited: I've removed the original and replaced it with the above because clearly my original comment wasn't being understood the way it was intended. Possibly this is no better, but it's worth a try.
To provide context, the comment by elil17 is in response to my original, in which I asked what this had to do with Knuth's arrow notation.
Edited: I've removed the original and replaced it with the above because clearly my original comment wasn't being understood the way it was intended. Possibly this is no better, but it's worth a try.
To provide context, the comment by elil17 is in response to my original, in which I asked what this had to do with Knuth's arrow notation.