Hi, I found a pde for power towers of any height.

The equation is as following:

Define

And

Where

Then every satisfies:

I don't understand anything about pdes so I don't know if this says any thing, but I wanted to share it with you guys.

I guess we can somehow use this equation to extend natural iteration monomial for larger bases, but I don't really know.

Kobi

The equation is as following:

Define

And

Where

Then every satisfies:

I don't understand anything about pdes so I don't know if this says any thing, but I wanted to share it with you guys.

I guess we can somehow use this equation to extend natural iteration monomial for larger bases, but I don't really know.

Kobi