Let $X$ be a D11: Set.
The hyperpower set sequence of $X$ is the D62: Sequence \begin{equation} X, \quad \mathcal{P}(X), \quad \mathcal{P}(\mathcal{P}(X)), \quad \mathcal{P}(\mathcal{P}(\mathcal{P}(X))), \quad \ldots \end{equation}