English

On Fibonacci partitions

Number Theory 2020-09-18 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.2009.08222,
  title  = {On Fibonacci partitions},
  author = {Sam Chow and Tom Slattery},
  journal= {arXiv preprint arXiv:2009.08222},
  year   = {2020}
}
R2 v1 2026-06-23T18:36:42.600Z