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arXiv · 2506.13337

Anti-recurrence sequences

Robbert Fokkink·Gandhar Joshi
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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.

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Robbert Fokkink, Gandhar Joshi. 2025-06-16. Anti-recurrence sequences. https://arxiv.org/abs/2506.13337

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