Anti-recurrence sequences
Number Theory
2025-06-17 v1
Abstract
We extend previous work on anti-recurrence sequences of Kimberling and Moses, Zaslavsky, and Bosma et al. Kimberling and Moses have formulated several questions on these sequences, which can be combined into the meta-conjecture that anti-recurrence sequences are sums of linear progressions and automatic sequences. We solve this conjecture under a restriction on the linear form that generates the anti-recurrence.
Cite
@article{arxiv.2506.13337,
title = {Anti-recurrence sequences},
author = {Robbert Fokkink and Gandhar Joshi},
journal= {arXiv preprint arXiv:2506.13337},
year = {2025}
}