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The weak Schur numbers for 2-coloring.
1

%I #12 Aug 27 2023 04:40:26

%S 9,24,52,101,166,253

%N The weak Schur numbers for 2-coloring.

%C a(8) >= 365, a(9) >= 505, a(10) >= 676 (see Table 4 at p. 6 in Ahmed et al.).

%H T. Ahmed, L. Boza, M. P. Revuelta, and M. I. Sanz, <a href="https://doi.org/10.1007/s11139-023-00760-y">Exact values and lower bounds on the n-color weak Schur numbers for n=2,3</a>. Ramanujan J (2023). See Table 3 at p. 4, Table 4 at p. 6, Sections 4.1 and 4.2 at pp. 10-13.

%Y Cf. A030126, A045652, A072842, A118771, A365191 (similar for 3-coloring).

%K nonn,hard,more

%O 2,1

%A _Stefano Spezia_, Aug 25 2023