{
  "id": "1612.06635",
  "version": "v1",
  "published": "2016-12-20T12:42:56.000Z",
  "updated": "2016-12-20T12:42:56.000Z",
  "title": "A Generalization of the Eulerian Numbers",
  "authors": [
    "Grzegorz Rzadkowski",
    "Malgorzata Urlinska"
  ],
  "comment": "13 pages, preprint",
  "categories": [
    "math.CO",
    "math.CA"
  ],
  "abstract": "In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation, solutions of which are used to obtain integral representations of some sets of numbers, including the Bernoulli numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-20T12:42:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B68"
    ],
    "keywords": [
      "eulerian numbers",
      "generalization",
      "autonomous first-order differential equation",
      "bernoulli numbers",
      "third orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}