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values 1, 8, 88, 1088, so I computed away with the Gosper-Zeilberger algorithm. In a few minutes I learned that n 3 S n = 16(n − 1 2 )(2n 2 −2n +1)S n−1 −256(n −1) 3 S n−2 . Notice that the algorithm doesn’t just verify a conjectured identity “A...