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a(n) is the largest integer k such that Un -> Z/2^kZ is surjective where Un is the set of Ulam words of length n.
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%I #8 Oct 25 2024 19:11:03

%S 1,1,1,1,3,2,4,4,4,4,4,5,5,5,6,7,7,8,9,9,9,10,10,11,11,11,12,12,13,13

%N a(n) is the largest integer k such that Un -> Z/2^kZ is surjective where Un is the set of Ulam words of length n.

%H Paul Adutwum et al., <a href="https://arxiv.org/abs/2410.01217">Distributions of Ulam Words up to Length 30</a>, arXiv:2410.01217 [math.NT], 2024. See

%K nonn,more

%O 1,5

%A _Michel Marcus_, Oct 03 2024