{
  "id": "1608.06086",
  "version": "v1",
  "published": "2016-08-22T08:45:54.000Z",
  "updated": "2016-08-22T08:45:54.000Z",
  "title": "Power of Two as sums of Three Pell Numbers",
  "authors": [
    "Jhon J. Bravo",
    "Bernadette Faye",
    "Florian Luca"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we find all the solutions of the Diophantine equation $P_\\ell + P_m +P_n=2^a$, in nonnegative integer variables $(n,m,\\ell, a)$ where $P_k$ is the $k$-th term of the Pell sequence $\\{P_n\\}_{n\\ge 0}$ given by $P_0=0$, $P_1=1$ and $P_{n+1}=2P_{n}+ P_{n-1}$ for all $n\\geq 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-22T08:45:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "11B39",
      "11A25"
    ],
    "keywords": [
      "pell numbers",
      "diophantine equation",
      "nonnegative integer variables",
      "th term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}