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      On Fibonacci partitions

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          Abstract

          We prove an exact formula for OEIS A000119, which counts partitions into distinct Fibonacci numbers. We also establish an exact formula for its mean value, and determine the asymptotic behaviour.

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          Author and article information

          Journal
          17 September 2020
          Article
          2009.08222

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          math.NT math.CO

          Combinatorics, Number theory

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