Fibonacci Determinants: A Combinatorial Approach
In this paper, we provide combinatorial interpretations for some determinantal identities involving Fibonacci numbers. We use the method due to Lindstrom-Gessel-Viennot in which we count nonintersecting n-routes in carefully chosen digraphs in order to gain insight into the nature of some well-known determinantal identities while allowing room to generalize and discover new ones.
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Benjamin, Arthur T.; Cameron, Naiomi T.; and Quinn, Jennifer J., "Fibonacci Determinants: A Combinatorial Approach" (2007). SIAS Faculty Publications. 210.
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