2 problems

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Divisibility characterization for centred Catalan sets
Divisibility conjecture. One has
Conjectureopenalternating-sign-triangles catalan-sets polynomial-divisibilityarXiv posted 2 days ago
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Conjecture on possible rational roots of alternating sign triangle weight functions
Possible-roots conjecture. For $M$ , the rational roots of $w_l(M)$ lie in
Conjectureopenalternating-sign-triangles catalan-sets motzkin-pathsarXiv posted 2 days ago