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The cycle descent statistic on permutations. (English) Zbl 1351.05010

Summary: In this paper we study the cycle descent statistic on permutations. Several involutions on permutations and derangements are constructed. Moreover, we construct a bijection between negative cycle descent permutations and Callan perfect matchings.

MSC:

05A05 Permutations, words, matrices
11B68 Bernoulli and Euler numbers and polynomials

Software:

OEIS

References:

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