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Using Random Tilings to Derive Fibonacci Congruence

by Keith Neu and Paul Deiermann

This article originally appeared in:
College Mathematics Journal
January, 2006

Subject classification(s): Algebra and Number Theory | Number Theory | Congruences
Applicable Course(s): 4.3 Number Theory

This capsule follows the technique of random tilings used in the proof of the closed form for Fibonacci Numbers. By relaxing the condition of probability, the authors are able to obtain congruences relations that involve Fibonacci numbers.

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Capsule Course Topic(s):
Number Theory | Congruences, Solving Congruence Equations
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