Hi, everyone. This is a continuation of my last thread http://math.eretrandre.org/tetrationforu...hp?tid=847

I don't have the time to explain too much now, but I realize a mistake I made and it causes for an inaccurate result. Take

Quite remarkably:

where I've recently calculated that:

Where I have been unable to calculate if this converges to a limit. If it does, (and I think it does), we are good.

I'm not sure if I can show recursion with this new transform but I'll try my best to work on this.

We recall the important property, of recovering tetration: , for

I don't have the time to explain too much now, but I realize a mistake I made and it causes for an inaccurate result. Take

Quite remarkably:

where I've recently calculated that:

Where I have been unable to calculate if this converges to a limit. If it does, (and I think it does), we are good.

I'm not sure if I can show recursion with this new transform but I'll try my best to work on this.

We recall the important property, of recovering tetration: , for