On some Pascal’s like triangles. Part 7

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 20, 2014, Number 5, Pages 58—63
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Authors and affiliations

Krassimir T. Atanassov
Department of Bioinformatics and Mathematical Modelling
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria

Abstract

A series of Pascal’s like triangles with different forms are described and some of their
propertiesa are given

Keywords

  • Pascal triangle
  • Sequence

AMS Classification

  • 11B37

References

  1. Atanassov, K., On some Pascal’s like triangles. Part 1. Notes on Number Theory and Discrete Mathematics, Vol. 13, 2007, No. 1, 31–36.
  2. Atanassov, K., On some Pascal’s like triangles. Part 2. Notes on Number Theory and Discrete Mathematics, Vol. 13, 2007, No. 2, 10–14.
  3. Atanassov, K., On some Pascal’s like triangles. Part 3. Notes on Number Theory and Discrete Mathematics, Vol. 13, 2007, No. 3, 20–25.
  4. Atanassov, K., On some Pascal’s like triangles. Part 4. Notes on Number Theory and Discrete Mathematics, Vol. 13, 2007, No. 4, 11–20.
  5. Atanassov, K., On some Pascal’s like triangles. Part 5. Advanced Studies in Contemporary Mathematics, Vol. 21, 2011, No. 3, 291–299.
  6. Atanassov, K., On some Pascal’s like triangles. Part 6. Notes on Number Theory and Discrete Mathematics, Vol. 20, 2014, No. 4, 40–46.
  7. Bondarenko, B., Generalized Pascal’s Triangles and Pyramids – Their Fractals, Graphs and Applications , Tashkent, Fan, 1990 (in Russian).
  8. Čerin, Z., Sums of squares and products of Jacobsthal numbers. Journal of Integer Sequences, Vol. 10, 2007, Article 07.2.5
  9. Goldwasser, J., W. Klostermeyer, M. Mays, G. Trapp, The density of ones in Pascal’s rhombus. Discrete mathematics, Vol. 204, 1999, 231-236.
  10. Leyendekkers, J., A. Shannon, J. Rybak. Pattern recognition: Modular Rings & Integer Structure. Raffles KvB Monograph No. 9, North Sydney, 2007.

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Cite this paper

APA

Atanassov, K. T. (2014). On some Pascal’s like triangles. Part 7. Notes on Number Theory and Discrete Mathematics, 20(5), 58-63.

Chicago

Atanassov, Krassimir T. “On Some Pascal’s like Triangles. Part 7.” Notes on Number Theory and Discrete Mathematics 20, no. 5 (2014): 58-63.

MLA

Atanassov, Krassimir T. “On Some Pascal’s like Triangles. Part 7.” Notes on Number Theory and Discrete Mathematics 20.5 (2014): 58-63. Print.

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