{
  "id": "1402.5091",
  "version": "v2",
  "published": "2014-02-20T18:17:13.000Z",
  "updated": "2014-02-24T15:29:21.000Z",
  "title": "On the properties of even and odd sequences",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this paper we continue to investigate the properties of those sequences $\\{a_n\\}$ satisfying the condition $\\sum_{k=0}^n\\binom nk(-1)^ka_k=\\pm a_n$ $(n\\ge 0)$. As applications we deduce new recurrence relations and congruences for Bernoulli and Euler numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-24T15:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A19",
      "11A07",
      "11B39",
      "11B68"
    ],
    "keywords": [
      "odd sequences",
      "properties",
      "recurrence relations",
      "euler numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.5091S"
    }
  }
}