Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a generating function of the domino tilings of an Aztec rectangle with several unit squares removed from the boundary. Our generating function involves two statistics: the rank of the tiling and half number of vertical dominoes as in the Aztec diamond theorem by Elkies, Kuperberg, Larsen and Propp. In addition, our work deduces a combinatorial explanation for an interesting connection beten the number of lozenge tilings of a semihexagon and the number of domino tilings of an Aztec rectangle.
['Tri Lai']
I am writing a research paper on a idea Generating Function of the Tilings of an Aztec Rectangle with Holes
[{"from": "human", "value": "I am writing a research paper on a idea Generating Function of the Tilings of an Aztec Rectangle with Holes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider a generating function of the domino tilings of an Aztec rectangle with several unit squares removed from the boundary. Our generating function involves two statistics: the rank of the tiling and half number of vertical dominoes as in the Aztec diamond theorem by Elkies, Kuperberg, Larsen and Propp. In addition, our work deduces a combinatorial explanation for an interesting connection beten the number of lozenge tilings of a semihexagon and the number of domino tilings of an Aztec rectangle."}]