Knot Knecessarily Known Knitting

I've continued experimentation with the Y increase and hyperbolic knitting. In this case, I started with 8 pairs in the round. I alternated one round 1×1 ribbing, one round Y increase in every pair of stitches (thus doubling). I started with 8 pairs and bound off with 512 pairs. The yarn is Lily Sugar 'n Cream kitchen cotton — sturdy, inexpensive, easy-care yarn that comes in a 2½ ounce/120 yard put-up. Some stores also carry it in a 14 ounce cone. I would love to make a very large hyperbolic poof. I think it would be interesting to be able to fall into one, as if it were some strange hyperbolic version of a bean bag chair. Here is the problem: Powers of 2   2 1   =  2   2 2   =  4   2 3   =  8   2 4   =  16   2 5   =  32   2 6   =  64   2 7   =  128   ...