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A combinatorial interpretation of the Seidel generation ofq-derangement numbers

By: Guo-Niu Han; Robert Clarke; Jiang Zeng;

1997 / Springer Science+Business Media / 0218-0006


In [8] Dumont and Randrianarivony have given several combinatorial interpretations for the coefficients of the Euler-Seidel matrix associated with-analogue of their results, which leads to the discovery of a new Mahonian statistic “maf” on the symmetric group. We then give new proofs and generalizations of some results of Gessel and Reutenauer [12] and Wachs [17].