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arXiv · 2504.19269

Enumeration of Corona for Lozenge Tilings

Craig Knecht·Feihu Liu·Guoce Xin
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Abstract

Knecht considers the enumeration of coronas. This is a counting problem for two specific types of lozenge tilings. Their exact closed formulas are conjectured in [A380346] and [A380416] on the OEIS. We prove this conjecture by using the weighted adjacency matrix. Furthermore, we extend this result to a more general setting.

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Craig Knecht, Feihu Liu, Guoce Xin. 2025-04-27. Enumeration of Corona for Lozenge Tilings. https://arxiv.org/abs/2504.19269

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