{
  "id": "2008.08222",
  "version": "v1",
  "published": "2020-08-19T02:09:54.000Z",
  "updated": "2020-08-19T02:09:54.000Z",
  "title": "Unimodality of a refinement of Lassalle's sequence",
  "authors": [
    "Mihir Singhal"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Defant, Engen, and Miller defined a refinement of Lassalle's sequence $A_{k+1}$ by considering uniquely sorted permutations of length $2k+1$ whose first element is $\\ell$. They showed that each such sequence is symmetric in $\\ell$ and conjectured that these sequences are unimodal. We prove that the sequences are unimodal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-19T02:09:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lassalles sequence",
      "refinement",
      "unimodality",
      "first element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}