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
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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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