In my MSE question, "Conjectured connection between $e$ and $\pi$ in a semidisk", the answer included
$$\prod_{k=1}^\infty\left[1-\big((k+1)^{1/3}-k^{1/3}\big)^3\right]\approx 0.96454\ldots.$$
Does this infinite product have a closed form?
Does $\prod_{k=1}^\infty\left[1-\big((k+1)^{1/3}-k^{1/3}\big)^3\right]$ have a closed form?
Dan
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