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We consider the classical Mahonian statistics on the set B n (Σ) of signed permutations in the hyperoctahedral group B n which avoid all patterns in Σ, where Σ is a set of patterns of length two. In 2000, Simion gave the cardinality of B n (Σ) in the cases where Σ contains either one or two patterns of length two and showed that |B n (Σ)| is constant(More)
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