{
  "id": "math/0505382",
  "version": "v1",
  "published": "2005-05-18T10:37:49.000Z",
  "updated": "2005-05-18T10:37:49.000Z",
  "title": "On divisibility of Narayana numbers by primes",
  "authors": [
    "Miklos Bona",
    "Bruce Sagan"
  ],
  "comment": "5 pages, see related papers at http://www.math.msu.edu/~sagan",
  "journal": "J. Integer Seq. 8 (2005), Article 05.2.4",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Using Kummer's Theorem, we give a necessary and sufficient condition for a Narayana number to be divisible by a given prime. We use this to derive certain properties of the Narayana triangle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-18T10:37:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B50",
      "05A10",
      "11A07",
      "11B64"
    ],
    "keywords": [
      "narayana number",
      "divisibility",
      "narayana triangle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5382B"
    }
  }
}