MathDB3 problems
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Burstein–Han–Kitaev–Zhang shape-Wilf-equivalence conjecture
Burstein–Han–Kitaev–Zhang conjecture. The two displayed partially ordered patterns are shape-Wilf-equivalent:
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Gao–Kitaev counting-sequence conjectures for six non-regular POP classes
Gao–Kitaev first counting-sequence conjecture. The counting sequence for is a shift of A216879.
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Bipartite characterization of rational POP generating functions
Bipartite characterization conjecture. A POP class has a rational generating function if and only if it is bipartite.