{
  "id": "1012.4034",
  "version": "v1",
  "published": "2010-12-17T23:29:49.000Z",
  "updated": "2010-12-17T23:29:49.000Z",
  "title": "Identities and congruences for a new sequence",
  "authors": [
    "Zhi-Hong Sun"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $[x]$ be the greatest integer not exceeding $x$. In the paper we introduce the sequence $\\{U_n\\}$ given by $U_0=1$ and $U_n=-2\\sum_{k=1}^{[n/2]}\\binom n{2k}U_{n-2k}\\quad(n\\ge 1)$, and establish many recursive formulas and congruences involving $\\{U_n\\}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-17T23:29:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "11B68"
    ],
    "keywords": [
      "congruences",
      "identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4034S"
    }
  }
}