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1. Generalized Fibonacci Numbers Through Tilings and Markov Chains
Arthur Benjamin, Christopher Hanusa, and Francis Su. Published in Utilitas Mathematica, Volume 64, pp 3-17. (2003) Available for download in pdf. Abstract: We present a tiling interpretation for kth order linear recurrences, which yields new combinatorial proofs for recurrence identities. Moreover, viewing the tiling process as a Markov chain also yields closed form Binet-like expressions for these recurrences. No supplementary materials.
Christopher Hanusa's home page. Queens College – Mathematics Department |