{
  "id": "math/0606670",
  "version": "v2",
  "published": "2006-06-27T08:56:00.000Z",
  "updated": "2006-10-26T14:53:48.000Z",
  "title": "On a conjecture of Deutsch, Sagan, and Wilson",
  "authors": [
    "Jean-Paul Allouche"
  ],
  "comment": "This conjecture of Deutsch, Sagan, and Wilson has been already proved in Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7 http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Noe/noe35.html",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove a recent conjecture due to Deutsch, Sagan, and Wilson stating that the finite sequence obtained from the first p central trinomial coefficients modulo p by replacing nonzero terms by 1's is palindromic, for any prime number p > 3. Addendum: the result was proved before almost in the same way by Tony D. Noe: On the Divisibility of Generalized Central Trinomial Coefficients, Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7 http://www.cs.uwaterloo.ca/journals/JIS/VOL9/Noe/noe35.html",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-26T14:53:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "05A10"
    ],
    "keywords": [
      "conjecture",
      "central trinomial coefficients modulo",
      "generalized central trinomial coefficients",
      "replacing nonzero terms",
      "finite sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6670A"
    }
  }
}