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A note on the Slater$\unicode{x2013}$Vélez permutation

Andreas Floros

Source record

Source: arXiv

Published: Oct 11, 2026

arXiv: 2610.15860

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Source abstract

We study the greedy sequence of positive integers introduced by Slater and Vélez. They proved that it is a permutation of the positive integers but left open whether its sequence of consecutive absolute differences is also a permutation. We prove that it is.

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A note on the Slater$\unicode{x2013}$Vélez permutation — Mathematical Frontier Network