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arxiv: 1303.1366 · v3 · pith:TLKOF47Snew · submitted 2013-03-06 · 🧮 math.CO · math.NT

Compositions and Fibonacci Identities

classification 🧮 math.CO math.NT
keywords compositionsfibonaccifreeexpressingformulasidentitiesmonoidnumbers
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We study formulas expressing Fibonacci numbers as sums over compositions using free submonoids of the free monoid of compositions with parts 1 and 2.

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