Note on the negative base xor sequence $n\oplus_{-b}(-n)$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908404231962624 |
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| author | Verrill, H A |
| author_facet | Verrill, H A |
| contents | We prove a relationship between certain integer expressions involving operators similar to the binary exclusive or. This gives a proof and generalization of a result conjectured about sequence A178729 in Sloane's Online Encyclopedia of Integer Sequences. We use transducers to prove this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on the negative base xor sequence $n\oplus_{-b}(-n)$ Verrill, H A Number Theory 11B85 We prove a relationship between certain integer expressions involving operators similar to the binary exclusive or. This gives a proof and generalization of a result conjectured about sequence A178729 in Sloane's Online Encyclopedia of Integer Sequences. We use transducers to prove this result. |
| title | Note on the negative base xor sequence $n\oplus_{-b}(-n)$ |
| topic | Number Theory 11B85 |
| url | https://arxiv.org/abs/2506.09509 |