The Peak Statistics on Simsun Permutations

DOI: https://doi.org/10.37236/5908

Keywords: Simsun permutations, Left peaks, Interior peaks, Alternating runs, Excedances

Abstract

In this paper, we study the relationship among left peaks, interior peaks and up-down runs of simsun permutations. Properties of the generating polynomials, including the recurrence relation, generating function and real-rootedness are studied. Moreover, we introduce and study simsun permutations of the second kind.

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