Note on the negative base xor sequence $n\oplus_{-b}(-n)$
Number Theory
2025-06-12 v1
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.
Cite
@article{arxiv.2506.09509,
title = {Note on the negative base xor sequence $n\oplus_{-b}(-n)$},
author = {H A Verrill},
journal= {arXiv preprint arXiv:2506.09509},
year = {2025}
}