Abstract
In [8] Dumont and Randrianarivony have given several combinatorial interpretations for the coefficients of the Euler-Seidel matrix associated withn!. In this paper we consider aq-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].
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Clarke, R.J., Han, GN. & Zeng, J. A combinatorial interpretation of the Seidel generation ofq-derangement numbers. Annals of Combinatorics 1, 313–327 (1997). https://doi.org/10.1007/BF02558483
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DOI: https://doi.org/10.1007/BF02558483