{
  "id": "2407.18355",
  "version": "v1",
  "published": "2024-07-25T19:41:28.000Z",
  "updated": "2024-07-25T19:41:28.000Z",
  "title": "Connecting the Stirling numbers and $k$-bonacci sums",
  "authors": [
    "Muhammad Adam Dombrowski"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "This paper proves why the Stirling numbers show up in a experimentally determined formula for the $k$-bonaccis. We develop a bijection between a previously determined summation formula for $k$-bonaccis and an experimentally determined formula, proven algebraically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-25T19:41:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stirling numbers",
      "bonacci sums",
      "experimentally determined formula",
      "connecting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}