{
  "id": "1807.08330",
  "version": "v1",
  "published": "2018-07-22T17:52:33.000Z",
  "updated": "2018-07-22T17:52:33.000Z",
  "title": "An interesting class of Hankel determinants",
  "authors": [
    "Johann Cigler",
    "Mike Tyson"
  ],
  "comment": "23 pages",
  "categories": [
    "math.CO",
    "math.RA"
  ],
  "abstract": "For small $r$ the Hankel determinants $d_r(n)$ of the sequence $\\left({2n+r\\choose n}\\right)_{n\\ge 0}$ are easy to guess and show an interesting modular pattern. For arbitrary $r$ and $n$ no closed formulae are known, but for each positive integer $r$ the special values $d_r(rn)$, $d_r(rn+1)$, and $d_r(rn+\\lfloor\\frac{r+1}{2}\\rfloor)$ have nice values which will be proved in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-22T17:52:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11C20",
      "11B39",
      "15B36"
    ],
    "keywords": [
      "hankel determinants",
      "interesting class",
      "special values",
      "nice values",
      "interesting modular"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}