(11/09/2015, 11:27 PM)nuninho1980 Wrote: I'm interested.

Can you solve x^^(1/2) = 3? but... using "new" formula

Not with this elaboration. I'm on superroots of powertowers of integer heights so far. I've given no thought so far for analysis with fractional heights, except for some lazy tries to find an interpolation-formula for the rows in table 3.1 , but without easy success ....

Mind you to step in for this?

Gottfried

[update] perhaps this is of interest: see MSE http://math.stackexchange.com/questions/...550#133550

Gottfried Helms, Kassel