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(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
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