User blog comment:Nedherman1/My Factorial vs HAN!!/@comment-35811215-20180703173610/@comment-35392788-20180705115834

Okay, I hate to be that guy.

This notation reaches about f_w+2 in the fast-growing hierarchy. This is enough to surpass Graham's number by a long shot, but, that's very, very, very, VERY far from HAN, which is at the level of f_psi(e(W_w+1)) in the fast-growing hierarchy (I won't even bother explaining how stupidly big that is)

Sorry.