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Georgia Southern University

2012

Mathematics

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Full-Text Articles in Physical Sciences and Mathematics

Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos Oct 2012

Integer Compositions, Gray Code, And The Fibonacci Sequence, Linus Lindroos

Electronic Theses and Dissertations

In this thesis I show the relation of binary and Gray Code to integer compositions and the Fibonacci sequence through the use of analytic combinatorics, Zeckendorf's Theorem, and generating functions.