User blog comment:Dhacorrea/Steinhaus-Moser: some 2's in step-by-step./@comment-30754445-20170205100759

@ARsygo "Sorry, but I don't understand the approx. in Hyper-E notation for the A-ooga, Grand Mega, etc."

Perhaps because they're not pure Hyper-E approximations. The complicated expression after the "#" gives you the exact height of the power tower, but they are pretty much useless as an actual approximation. In fact, the number after "#" is about as big as the A-ooga itself!

For a decent approximation, we should observe that:

A-ooga ~ 10↑↑↑Mega

This is a very good approximation (notice the three arrows, which explain why any attempt to approximate this number as an ordinary power tower is futile) and the only question that remains is how to write this in Hyper-E Notation. If my memory serves me correctly, all you need to do is to append "#1#2" to any approximation of the Mega of your choice:

Mega ~ E619#257

A-ooga ~ E619#257#1#2

(if I did this wrong, please somebody correct me)

And a similar thing is true for the Grand Mega. It is, to very good precision:

Grand Mega ~ 10↑↑10↑↑[3 in a square]

And since [3 in a square] can be approximated as E40#2 this gives us:

Grand Mega ~ E40#2#2

Ae something like Ea#b#c. If remember my Hyper-E correctly (and I'm not at all sure) then a decent Hyper-E approximation for the A-ooga would be E619#257#2. At