Some recurrence relations for binary sequence matrices

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 17, 2011, Number 4, Pages 9—13
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Authors and affiliations

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


This note compares and contrasts some properties of binary sequences with matrices and associated recurrence relations in order to stimulate some enrichment exercises and pattern puzzles.


  • Binary
  • Matrix
  • Sequence
  • Recurrence relation
  • Kronecker delta
  • Repunit,
  • Fibonacci numbers
  • Lucas numbers
  • Pell numbers
  • Pascal’s triangle

AMS Classification

  • 11A41
  • 11A55
  • 11A07


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Cite this paper

Shannon, A. G. (2011). Some recurrence relations for binary sequence matrices, Notes on Number Theory and Discrete Mathematics, 17(4), 9-13.

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