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A note on the Slaterunicodex2013Vélez permutation

  • Andreas Floros
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Abstract

We study the greedy sequence of positive integers introduced by Slater and Vélez. They proved that it is a permutation of the positive integers but left open whether its sequence of consecutive absolute differences is also a permutation. We prove that it is.

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Cite

BibTeXRIS
BibTeX
@misc{floros2026note,
  title = {{A note on the Slater$\unicodex2013$Vélez permutation}},
  author = {Andreas Floros},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15860},
  eprint = {2610.15860},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15860},
}
RIS
TY  - UNPB
TI  - A note on the Slaterunicodex2013Vélez permutation
AU  - Andreas Floros
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15860
UR  - https://arxiv.org/abs/2610.15860
AB  - We study the greedy sequence of positive integers introduced by Slater and Vélez. They proved that it is a permutation of the positive integers but left open whether its sequence of consecutive absolute differences is also a permutation. We prove that it is.
ER  -