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Find the number of subsets S of \{0, 1, 2, 3, \dots, 15\} that have the following property: If n is in S, and m \equiv n + 1 \pmod{16}$ with $0 \le m \le 15,$ then m is also in S.

 Oct 29, 2024
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The number of subsets S is 657.

 Dec 21, 2024

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