On some Pascal’s like triangles. Part 6

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 4, Pages 40–46
Full paper (PDF, 125 Kb)

Details

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 properties 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. Bondarenko, B., Generalized Pascal’s Triangles and Pyramids – Their Fractals, Graphs and Applications , Tashkent, Fan, 1990 (in Russian).
7. Čerin, Z., Sums of squares and products of Jacobsthal numbers. Journal of Integer Sequences, Vol. 10, 2007, Article 07.2.5
8. Goldwasser, J., W. Klostermeyer, M. Mays, G. Trapp, The density of ones in Pascal’s rhombus. Discrete mathematics, Vol. 204, 1999, 231-236.
9. Horadam, A., Basic properties if a certain generalized sequence of numbers. The Fibonacci Quarterly, Vol. 3, 1965, 161–176.
10. Leyendekkers, J., A. Shannon, J. Rybak. Pattern recognition: Modular Rings & Integer Structure. Raffles KvB Monograph No. 9, North Sydney, 2007.
11. Sloane, N. J. A., The On-Line Encyclopedia of Integer Sequences, 2006.