{
  "id": "1603.04434",
  "version": "v1",
  "published": "2016-03-14T17:58:42.000Z",
  "updated": "2016-03-14T17:58:42.000Z",
  "title": "Two analogs of Thue-Morse sequence",
  "authors": [
    "Vladimir Shevelev"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce and study two analogs of Thue-Morse sequence. The first analog is concerned with the parity of number of runs of 1's in the representation of nonnegative integers in binary (or in base $2).$ The second one is connected with the parity of number of 1's in the representation of nonnegative integers in so-called negabinary (or in base $-2).$ We give for them some recurrent and structure formulas and consider several interesting difficult problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-14T17:58:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83"
    ],
    "keywords": [
      "thue-morse sequence",
      "nonnegative integers",
      "first analog",
      "representation",
      "structure formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160304434S"
    }
  }
}