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
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.