Fortify alchemy/fortify enchant stacking?

Is it possible to enchant a set of Fortify Alchemy equipment so that it allows you to create a more potent Fortify Enchanting potion than using the potion to recreate a more powerful set of alchemy equipment?
Can you repeat this to continually increase the power of the enchanting potion?
Has anyone tried this?
What kind of increase was seen between alchemy sets?

Unlike in Oblivion, you can stack skills over 100 with a combination of enchanting and alchemy.

You can easily wind up with something like this:

There's not enough recursion within the enchanting / alchemy skills to increase arbitrarily high, but you can definitely get some pretty nuts items regardless.

This has been tried, and it flattens out at around 30%.

the trick here is not to simply use enchanting to up alchemy to up enchanting etc. so u have a very good enchantment on your items, but to get an overpowered smithing enchantment on your items so you can then smith your items up waaaaaay beyond legendary aswell