On some Pascal’s like triangles. Part 10

Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 21, 2015, Number 2, Pages 23–34
Full paper (PDF, 150 Kb)

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, a new type of triangles is discussed. In the formula for their generation, operation summation is changed with operation subtraction. Some of their properties are studied.

Keywords

• Pascal pyramid
• Pascal triangle
• Sequence

AMS Classification

• 11B37

References

1. Atanassov, K. (2007) On some Pascal’s like triangles. Part 1. Notes on Number Theory and Discrete Mathematics, 13(1), 31–36.
2. Atanassov, K. (2007)On some Pascal’s like triangles. Part 2. Notes on Number Theory and Discrete Mathematics, 13(2), 10–14.
3. Atanassov, K. (2007) On some Pascal’s like triangles. Part 3. Notes on Number Theory and Discrete Mathematics, 13(3), 20-25.
4. Atanassov, K. (2007) On some Pascal’s like triangles. Part 4. Notes on Number Theory and Discrete Mathematics, 13(4), 11–20.
5. Atanassov, K. (2011) On some Pascal’s like triangles. Part 5. Advanced Studies in Contemporary Mathematics, 17(3), 291–299.
6. Atanassov, K. (2014) On some Pascal’s like triangles. Part 6. Notes on Number Theory and Discrete Mathematics, 20(4) 40–46.
7. Atanassov, K. (2014) On some Pascal’s like triangles. Part 7. Notes on Number Theory and Discrete Mathematics, 20(5) 58–63.
8. Atanassov, K. (2015) On some Pascal’s like triangles. Part 8. Notes on Number Theory and Discrete Mathematics, 21(1), 42–50.
9. Atanassov, K. (2015) On some Pascal’s like triangles. Part 9. Notes on Number Theory and Discrete Mathematics, 21(2), 15–22.