Mathematics > Combinatorics
arXiv:2606.17447 (math)
[Submitted on 13 Jun 2026]
Abstract:For every integer $g\ge 2$, we determine exactly which integers occur in the greedy 3-sumfree sequence that starts with $1$, $g$, and $g+1$. This gives a direct proof of a conjecture of Bosma, Bruin, Fokkink, Grube, Reuijl, and Tromp. We also obtain an explicit eventual periodic description, including both the preperiod and the repeating block.
Submission history
From: Orion Shtrezi [view email]
[v1]
Sat, 13 Jun 2026 10:22:19 UTC (4 KB)
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