A recurrence-based convolutional method produces λ ≤ 4.5238 for polyomino growth rate with a concise self-contained proof and a general technique for bounding nonnegative recurrences.
Bounding Klarner’s constant from above using a simple recurrence.Archiv der Mathematik, 124:517–523, 2025
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A convolutional approach to bounding the number of polyominoes
A recurrence-based convolutional method produces λ ≤ 4.5238 for polyomino growth rate with a concise self-contained proof and a general technique for bounding nonnegative recurrences.