Operator similar to tetration

[rsgerard]

bo198214,

Thanks for going above and beyond and actually going through the details on how this function behaves. I find it particularly interesting that an infinite number of square roots can relate to the cube root function and so on.

Any suggestions on where to read up on this more? I really haven't found too many places to learn about sequences with roots. Also, have you come across this particular sequence in any of your other work? Thanks again for the thorough response.

-Ryan