{
  "id": "1912.01126",
  "version": "v1",
  "published": "2019-12-02T23:23:06.000Z",
  "updated": "2019-12-02T23:23:06.000Z",
  "title": "Riordan arrays, the $A$-matrix, and Somos $4$ sequences",
  "authors": [
    "Paul Barry"
  ],
  "comment": "24 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We characterize certain Riordan arrays by their $A$-matrices and $\\rho$ sequences. We conjecture the form of a generic $A$-matrix which leads to Somos $4$ sequences. We find an $A$-matrix that produces a Riordan quasi-involution, and we study the $A$-matrices and $\\rho$ sequences of the moment matrices of certain perturbed orthogonal polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-02T23:23:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B36",
      "05A15",
      "11C20",
      "11B37",
      "11B83",
      "15B36"
    ],
    "keywords": [
      "riordan arrays",
      "perturbed orthogonal polynomials",
      "moment matrices",
      "riordan quasi-involution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}