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Combinatorial Interpretations of Fibonacci Identities
Student-Run Discrete Math SeminarSpeaker: | Josh Clement, UC Davis |
Location: | 2112 MSB |
Start time: | Thu, Nov 1 2007, 3:10AM |
Some fascinating identities involving the Fibonacci sequence can be derived using combinatorial means, by defining the nth Fibonacci number in terms of the number of ways a board n squares long can be tiled by squares and two-square dominoes. This representation of the Fibonacci sequence gives us combinatorial proofs of these Fibonacci identities.