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Stanley's Problem 4 on Differential Posets

Combinatorics · posed by Richard Stanley, 1988 · disproved

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Statement

For a differential poset PP, must the weighted 22-multichain series MP,2(q)M_{P,2}(q) be a rational multiple of FP(q)2F_P(q)^2, the square of its rank generating series?

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. construction · #1

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    The construction was found by the TARS agent system (foundation model not disclosed); the proof was reconstructed and manually verified by the human authors.

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