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On Fibonacci partitions
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Chow, Sam and Slattery, Tom (2021) On Fibonacci partitions. Journal of Number Theory, 225 . pp. 310-326. doi:10.1016/j.jnt.2021.02.010 ISSN 0022-314X.
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Official URL: https://doi.org/10.1016/j.jnt.2021.02.010
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.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Fibonacci numbers, Partitions (Mathematics), Number theory | ||||||||
Journal or Publication Title: | Journal of Number Theory | ||||||||
Publisher: | Academic Press | ||||||||
ISSN: | 0022-314X | ||||||||
Official Date: | August 2021 | ||||||||
Dates: |
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Volume: | 225 | ||||||||
Page Range: | pp. 310-326 | ||||||||
DOI: | 10.1016/j.jnt.2021.02.010 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 19 March 2021 | ||||||||
Date of first compliant Open Access: | 19 March 2022 | ||||||||
RIOXX Funder/Project Grant: |
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