English

Equivalent conditions for the $n$th element of the Beatty sequence $B_{\sqrt{2}}$ being even

History and Overview 2023-01-03 v1 Number Theory

Abstract

We provide equivalent conditions for the nnth element of the Beatty sequence B2B_{\sqrt{2}} being even. In particular, we show that the integer sequences A090892 and A120752 in the OEIS are essentially identical.

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Cite

@article{arxiv.2301.00644,
  title  = {Equivalent conditions for the $n$th element of the Beatty sequence $B_{\sqrt{2}}$ being even},
  author = {Sela Fried},
  journal= {arXiv preprint arXiv:2301.00644},
  year   = {2023}
}