{
  "id": "2001.06162",
  "version": "v1",
  "published": "2020-01-17T05:29:22.000Z",
  "updated": "2020-01-17T05:29:22.000Z",
  "title": "On Integer Sequences Associated To Two Distinct Sums",
  "authors": [
    "Gee-Choon Lau"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we show the existence of integer sequences of lengths at least 3 (except 7) such that for every integer in position $i\\equiv 1\\pmod{4}$ (respectively position $j\\equiv 3\\pmod{4}$), counting from left to right, the sum of the integer and the adjacent integer(s) has a constant sum $x$ (respectively $y$) with $x\\ne y$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-17T05:29:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B75"
    ],
    "keywords": [
      "integer sequences",
      "distinct sums",
      "constant sum",
      "adjacent integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}