4 Sep
2020
4 Sep
'20
2:31 p.m.
Now I'm wondering what all the complex solutions z are of ----- f(1) = z, f(n+1) = (1 + 1/f(n))^n, lim_{n —> oo} f(n) = oo ----- —Dan Kerry Mitchell wrote: ----- If you allow for f(1) < 0 and if I did my analysis correctly, then I see a point similar to George's 1.187452351 at f(1) ~ -0.71774114214285. Taking this problem as a fractal iteration: z(n+1) = (1+1/z(n))^n with z(1) = pixel, then there is a fractal contour connecting the points 1.187452351+0i and -0.71774114214285+0i. -----