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arxiv: 1312.0693 · v1 · pith:4BITGB5Hnew · submitted 2013-12-03 · 🧮 math.CO

Compositions, Partitions, and Fibonacci Numbers

classification 🧮 math.CO
keywords compositionsnumberpartitionspartsbijectivecommentaryequalsfibonacci
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A bijective proof is given for the following theorem: the number of compositions of n into odd parts equals the number of compositions of n + 1 into parts greater than one. Some commentary about the history of partitions and compositions is provided.

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