User blog comment:SuperSpruce/What do you think the growth rate of the Meameamealokkapowwa oompa is?/@comment-35870936-20190103182041

Well, Meameamealokkapoowa oompa is not well-defined. But if it was, it would have a growth rate MUCH MUCH MUCH BIGGER than the TFB. {n,n/2} is thought to have a growth rate of psi(W_w), and {n,n(1)/2} has a growth rate of psi(psi_I(0)).

The growth rate of BEAF really starts to take off at legiattic arrays. It is believed that X^^X @ n has the same growth rate as pDAN (which already surpasses every known ordinal in the FGH). However, the size of meameamealokkapoowa oompa is still within the realm of sDAN. See Dshamlin's comment for some analysis of SAN vs ill-defined BEAF.