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arxiv: cond-mat/0212334 · v2 · submitted 2002-12-13 · ❄️ cond-mat.stat-mech · math.CO

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Generalized Fibonacci numbers and dimer statistics

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classification ❄️ cond-mat.stat-mech math.CO
keywords fibonacciidentitiesnumbersalternateanalogueclose-packeddimerdimers
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We establish new product identities involving the $q$-analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.

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