Note on the negative base xor sequence $n\oplus_{-b}(-n)$

H A Verrill

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arXiv · 2506.09509

Note on the negative base xor sequence $n\oplus_{-b}(-n)$

H A Verrill

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Abstract

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.

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H A Verrill. 2025-06-11. Note on the negative base xor sequence $n\oplus_{-b}(-n)$. https://arxiv.org/abs/2506.09509

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