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Let $\\mathcal{RSS}_k(n)$ be the family of {\\it reverse shuffle squares} in $[k]^{2n}$, words that can be partitioned into two disjoint subsequences which are reverses of each other. Henshall, Rampersad, and Shallit conjectured asymptotic formulas for the sizes of $\\mathcal{SS}_k(n)$ and $\\mathcal{RSS}_k(n)$ based on numerical evidence. 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