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Backhouse's constant

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Backhouse's constant, denoted as \( B \), is a mathematical constant related to the asymptotic behavior of certain combinatorial structures. It arises in the analysis of the number of permutations of the set of integers with specific constraints. More specifically, it is associated with the enumeration of permutations that avoid specific patterns. The value of Backhouse's constant is approximately \( B \approx 1.944 \).

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