User blog comment:Eners49/New Notation Idea?/@comment-25601061-20180619205145/@comment-35532815-20180619213223

Thanks! I didn't really know before how powerful my function really was because I'm not very good with ordinals :(

I already know Graham's function has growth rate w+1, so that would be the first part of my sequence, [1], [2], [3], etc. But which of the steps are you referring to when you say w*2? Is it the second-order brackets 2[1], 2[2], 2[3], etc. or the [1], [1][1], [1][1][1], etc.? What growth rate would each of those have?