English

Golombic and Levine sequences

Combinatorics 2026-02-16 v2 Number Theory

Abstract

We investigate and generalise Levine sequences like A011784, A061892 and A061894 and develop an algebraic theory for them. We thereby also cover other fast growing sequences like A014644, which we call golombic due to their strong ties with Golomb's sequence A001462.

Cite

@article{arxiv.2602.10992,
  title  = {Golombic and Levine sequences},
  author = {Johan Claes and Roland Miyamoto},
  journal= {arXiv preprint arXiv:2602.10992},
  year   = {2026}
}

Comments

21 pages, two algorithms, four tables

R2 v1 2026-07-01T10:32:06.940Z