{
  "id": "2002.01665",
  "version": "v1",
  "published": "2020-02-05T07:07:35.000Z",
  "updated": "2020-02-05T07:07:35.000Z",
  "title": "How to add two natural numbers in base phi",
  "authors": [
    "F. Michel Dekking"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper we give a new, and short proof of the recursive structure of the base phi representations of the natural numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-05T07:07:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D85",
      "11A63",
      "11B39"
    ],
    "keywords": [
      "natural number",
      "base phi representation",
      "short proof",
      "golden mean",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}