Symmetry and unimodality in t-stack sortable permutations

  • Authors:
  • Miklós Bóna

  • Affiliations:
  • Department of Mathematics, University of Florida, Little Hall, Gainesville, Florida

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2002

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Abstract

We present the first nontrivial results on t-stack sortable permutations by constructively proving that the sequence Wt(n, k) of the numbers of t-stack sortable permutations with k descents is symmetric and unimodal.