Sequence Fractals Part III #33

$ z^2+c+s_i$
s₀=0.37, s_i+1=-0.5*s_i²+1.7
Center:-0+0i; Zoom = 0.5

Another variation of a sequence based on the generating pattern s_i+1=a*s_i²+b.

This sequence quickly converges to a two cycle. 1.63, 0.37, … As you would expect the zoom-out picture look very similar to the two step sequence fractals studied back in June. See Sequence Fractals Part II #34 for example.