Binomial determinants for tiling problems yield to the holonomic ansatz

We present and prove closed form expressions for some families of binomial determinants with signed Kronecker deltas that are located along an arbitrary diagonal in the corresponding matrix. They count cyclically symmetric rhombus tilings of hexagonal regions with triangular holes. We extend a previ...

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Bibliographic Details
Main Authors: Hao Du, Christoph Koutschan, Thotsaporn Thanatipanonda, Elaine Wong
Other Authors: Johann Radon Institute for Computational and Applied Mathematics
Format: Article
Published: 2022
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/74230
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Institution: Mahidol University