Continued Fractions and their Interpretations

The Fibonacci Numbers are one of the most intriguing sequences in mathematics. I present generalizations of this well known sequence. Using combinatorial proofs, I derive closed form expressions for these generalizations. Then using Markov Chains, I derive a second closed form expression for these n...

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Bibliographic Details
Main Author: Hanusa, Christopher
Format: Others
Published: Scholarship @ Claremont 2001
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/127
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1130&context=hmc_theses