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math.CO 1

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2026 1

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CONDITIONAL 1

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$k$-Convex Polyominoes by Semi-perimeter

math.CO · 2026-07-14 · conditional · novelty 7.0

For k≥2, the semi-perimeter generating function of k-convex polyominoes is conjectured to be a difference of a rational part and a square-root part, with both expressed explicitly in Chebyshev polynomials.

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  • $k$-Convex Polyominoes by Semi-perimeter math.CO · 2026-07-14 · conditional · none · ref 4

    For k≥2, the semi-perimeter generating function of k-convex polyominoes is conjectured to be a difference of a rational part and a square-root part, with both expressed explicitly in Chebyshev polynomials.