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The constant c satisfies the upper bound c(k^2) ≤ 1/k.

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The story of Erdős problem #1026Dec 9, 2025 Untraced · nothing upstream recorded

a similar construction to the one above, in which Alice divides the coins into {k^2} pairs that are almost even, in such a way that the longest monotone sequence is of length {k}, gives the upper bound {c(k^2) \leq 1/k}

The story of Erdős problem #1026extraction 0.88

Stijn Cambie's upper bound observation on the coin-game constant c(n).

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Created by extractor · Sep 13, 2026. Every judgment on this page is accompanied by a reasoning trace.