{
  "abstract": "We study the alternating perturbation of Conway's nested recurrence, $C(n)=C(C(n-1))+C(n-C(n-1))+(-1)^n$ for $n\\geq 3$, with $C(1)=C(2)=1$. We prove that the sequence is well defined and satisfies $C(n)=ψ^{-3}n+O(n/\\sqrt{\\log n})$, where $ψ>1$ is the real root of $ψ^3=ψ^2+1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29631",
  "author_total": 1,
  "authors": [
    {
      "name": "Benoit Cloitre"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2tjs1p33njy3y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29631",
  "fulltext_url": null,
  "id": "2tjs1p33njy3y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29631",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "3109|Advanced Mathematical Theories and Applications"
    ]
  ],
  "openalex": "W7223198763",
  "pdf_url": "https://arxiv.org/pdf/2610.29631",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2tjs1p33njy3y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29631",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29631"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Perturbing the Conway sequence",
  "title_text": "Perturbing the Conway sequence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/2tjs1p33njy3y",
  "venue": "arXiv",
  "versions": []
}