Could be tetration if this integral converges

[mike3]

And by the asymptotics of as we get!

I believe this is where the problem lies. As I mentioned, the reciprocal tetrational is going to be unbounded. I believe it is also possible with the topological-transitivity thing I mentioned to show that it will also take on almost every complex value infinitely often, on . So as the arc cuts through that highly ill-behaved region, there seems no reason to assume this integral must converge to as .