New index matrix representations of operations over natural numbers

Lilija Atanassova
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 1, Pages 53—60
DOI: 10.7546/nntdm.2018.24.1.53-60
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Authors and affiliations

Lilija Atanassova
Institute of Information and Communication Technologies
Bulgarian Academy of Sciences
2 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria


Two new operations over index matrices are introduced. Their possible application in number theory is discussed and illustrated with examples related to the canonical representation of the natural numbers and with two extended Fibonacci sequences.


  • Fibonacci sequence
  • Index matrix
  • Natural number

2010 Mathematics Subject Classification

  • 11B39


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Cite this paper

Atanassova, L. (2018). New index matrix representations of operations over natural numbers. Notes on Number Theory and Discrete Mathematics, 24(1), 53-60, doi: 10.7546/nntdm.2018.24.1.53-60.

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