Krassimir Atanassov

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 21, 2015, Number 1, Pages 42—50

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## Details

### Authors and affiliations

Krassimir 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

In a series of papers, Pascal’s like triangles with different forms have been described. Here, three-dimensional analogues of these triangles are given and some of their properties are studied.

### Keywords

- Pascal pyramid
- Pascal triangle
- Sequence

### AMS Classification

- 11B37

### References

- Atanassov, K. (2007) On some Pascal’s like triangles. Part 1. Notes on Number Theory and Discrete Mathematics, 13(1), 31–36.
- Atanassov, K. (2007)On some Pascal’s like triangles. Part 2. Notes on Number Theory and Discrete Mathematics, 13(2), 10–14.
- Atanassov, K. (2007) On some Pascal’s like triangles. Part 3. Notes on Number Theory and Discrete Mathematics, 13(3), 20-25.
- Atanassov, K. (2007) On some Pascal’s like triangles. Part 4. Notes on Number Theory and Discrete Mathematics, 13(4), 11–20.
- Atanassov, K. (2011) On some Pascal’s like triangles. Part 5. Advanced Studies in Contemporary Mathematics, 17(3), 291–299.
- Atanassov, K. (2014) On some Pascal’s like triangles. Part 6. Notes on Number Theory and Discrete Mathematics, 20(4) 40–46.
- Atanassov, K. (2014) On some Pascal’s like triangles. Part 7. Notes on Number Theory and Discrete Mathematics, 20(5) 58–63.
- Bondarenko, B. (1990) Generalized Pascal’s Triangles and Pyramids – Their Fractals,Graphs and Applications, Tashkent, Fan (in Russian).
- Cerin, Z. (2007) Sums of squares and products of Jacobsthal numbers. Journal of Integer Sequences, 10, Article 07.2.5.
- Goldwasser, J., Klostermeyer, W., Mays, M., & Trapp, G. (1999) The density of ones in Pascal’s rhombus. Discrete Mathematics, 204, 231–236.
- Leyendekkers, J. V., Shannon, A. G., & Rybak, J. (2007) Pattern Recognition: Modular Rings & Integer Structure. Raffles KvB Monograph No. 9, North Sydney.

## Related papers

## Cite this paper

APAAtanassov, K. (2015). On some Pascal’s like triangles. Part 8. Notes on Number Theory and Discrete Mathematics, 20(1), 32-35.

ChicagoAtanassov, Krassimir. “On Some Pascal’s like Triangles. Part 8.” Notes on Number Theory and Discrete Mathematics 21, no. 1 (2015): 32-35.

MLAAtanassov, Krassimir. “On Some Pascal’s like Triangles. Part 8.” Notes on Number Theory and Discrete Mathematics 21.1 (2015): 32-35. Print.