06/15/2015, 01:00 AM
(This post was last modified: 06/15/2015, 03:07 AM by sheldonison.)

(06/11/2015, 10:27 AM)sheldonison Wrote: ....

I was about to post a closely related question about Pi in the Mandelbrot set; it takes about iterations to escape near the parabolic cusp at c=0.25. Then I found this paper about the occurrence of Pi in the Mandelbrot set; although I haven't finished reading their paper, but I am sure the same mechanisms can be used to justify the result, that it takes iterations to "escape" for sexp_{eta+1/n}, and for iterating , it takes iterations.

http://www.doc.ic.ac.uk/~jb/teaching/jmc...elbrot.pdf

- Sheldon