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