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

Sela Fried

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arXiv · 2301.00644

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

Sela Fried

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Abstract

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

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Sela Fried. 2022-12-28. Equivalent conditions for the $n$th element of the Beatty sequence $B_{\sqrt{2}}$ being even. https://arxiv.org/abs/2301.00644

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