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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.13337 |
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| _version_ | 1866912432552673280 |
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| author | Fokkink, Robbert Joshi, Gandhar |
| author_facet | Fokkink, Robbert Joshi, Gandhar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13337 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anti-recurrence sequences Fokkink, Robbert Joshi, Gandhar Number Theory 11B85 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. |
| title | Anti-recurrence sequences |
| topic | Number Theory 11B85 |
| url | https://arxiv.org/abs/2506.13337 |