The Peak Statistics on Simsun Permutations
Keywords: Simsun permutations, Left peaks, Interior peaks, Alternating runs, Excedances
AbstractIn 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.