{
  "id": "1912.11148",
  "version": "v1",
  "published": "2019-12-23T23:55:18.000Z",
  "updated": "2019-12-23T23:55:18.000Z",
  "title": "Binary compositions and semi-Pell compositions",
  "authors": [
    "William J. Keith",
    "Augustine O. Munagi"
  ],
  "comment": "15 pages. Submitted",
  "categories": [
    "math.CO"
  ],
  "abstract": "In analogy with the semi-Fibonacci partitions studied recently by Andrews, we define semi-Pell compositions and semi-$m$-Pell compositions. We find that these are in bijection with certain weakly unimodal $m$-ary compositions. We give generating functions, bijective proofs, and a number of unexpected congruences for these objects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-23T23:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P81",
      "11P83"
    ],
    "keywords": [
      "binary compositions",
      "define semi-pell compositions",
      "semi-fibonacci partitions",
      "weakly unimodal",
      "generating functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}