I'm wondering for which $c \in M$ (where M is the Mandelbrot set) the sequence $((z \to z^2 + c)^k(0))_k$ has a subsequence converging to $0$. One trivial solution is $c = 0$, though I cannot find any other. This makes me wonder if $c=0$ is the only solution. Thanks for any kind of advice.
2026-03-25 23:39:32.1774481972
The values of the iteration $z^2 + c$ for c inside the Mandelbrot set
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