User blog comment:Nayuta Ito/Ita-Chihaya number/@comment-5529393-20140824021928

With the definition fixed, Kc will clearly be at the w^w level of the FGH. So the Ito-Chihaya number will be on the order of F_{w^w} (72).

For the Extended version, there seems to be a problem. The first rule requires that there are no 0's at any depth, for example, we can't use it on SH ((1,0),1). But the second rule requires that there is a 0 at the bottom level. So we can't handle cases where there are no 0's on the bottom level but there are 0's at higher levels.