Cheng Lien Lang, Mong Lung Lang
Published 2013-03-21, updated 2013-04-02Version 2
By investigating a recurrence relation about functions, we first give alternative proofs of various identities on Fibonacci numbers and Lucas numbers, and then, make certain well known identities visible via certain trivalent graph associated to the recurrence relation.
Fibonacci numbers and Trivalent graphs
Balancing polynomials, Fibonacci numbers and some new series for $π$
Fibonacci Numbers which are Products of two Pell Numbers
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