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Showing 1 to 2 of 2 for “"Integer Compositions"”.
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Integer Compositions, Gray Code, and the Fibonacci Sequence
… 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.</p>
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Compositions, Bijections, and Enumerations
… this thesis we give an introduction to colored-compositions of an integer. This is a generalization of traditional integer compositions, and we show a few results for n-color compositions which are analogous to regular compositions with both combinatorial and analytic proofs. We also show …