How do I evaluate this sum :$\sum_{n=0}^\infty z^{n^3}$ and Is there a visual proof for it?

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if $$\sum_{n=0}^\infty z^n = \frac1{1-z}, \quad z \in \mathbb{C},\; |z| < 1 .$$

then is there a way to deduce this sum:$$\sum_{n=0}^\infty z^{n^3}$$ from the

above Identitie or any visual proof if it was existed ?

Note: $z$ is a complex variable

Thank you for any help