k-Fixed-Points-Permutations

In this paper we study the k-fixed-points statistic over the symmetric group. We will give some combinatorial interpretations to the relations defining them as well as their generating functions. A combinatorial interpretation directly on derangements of the famous relation on derangement numbers dn = ndn−1 + (−1)n will be given

Related Organizations

University of Antananarivo
Madagascar

Keywords

Permutations, words, matrices, recurrence relations, derangements, permutations, Exact enumeration problems, generating functions, derangement numbers

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