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A180205
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Number of permutations of 0..(n-1) representable as consecutive sums of 2 adjacent elements of a sequence of n+1 nonnegative integers
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1
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1, 2, 4, 12, 44, 176, 768, 4000, 22896, 142336, 967040, 7258368, 57919872, 490253312, 4455645952, 43468799232, 445393216256
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