09/14/2009, 09:43 PM
Is there any way in which this could be done with something other than the matrix operator? For example, could a limit formula be used like that for \( b = e^{1/e} \), for this base (\( b = e^{-e} \)) even if convergence is dog slow? If so, what would it be? One doesn't need many digits to plot graphs, and once one has enough points on an interval of towers, say from 0 to 1, it may be possible to interpolate them using a polynomial, and then one can use the functional equations to rapidly draw a graph along a wider interval of towers.

