Extensions to the Zeckendorf Triangle

A. G. Shannon and J. V. Leyendekkers
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 5, Pages 31–34
Full paper (PDF, 83Kb

Details

Authors and affiliations

A. G. Shannon
Faculty of Engineering & IT, University of Technology
Sydney, NSW 2007, Australia

J. V. Leyendekkers
Faculty of Science, The University of Sydney
NSW 2006, Australia

Abstract

This note extends some of the characteristics of a Zeckendorf triangle composed of Fibonacci number multiples of the Fibonacci sequence.

Keywords

• Fibonacci numbers
• Convolutions
• Recurrence relations
• Kronecker delta
• Zeckendorf representations
• Riordan group

AMS Classification

• 11B39
• 03G10

References

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