Toufik Mansour and Matthias Schork

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

Volume 21, 2015, Number 4, Pages 64—69

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## Details

### Authors and affiliations

Toufik Mansour

*Department of Mathematics, University of Haifa
31905 Haifa, Israel
*

Matthias Schork

*Camillo-Sitte-Weg 25, 60488 Frankfurt, Germany*

### Abstract

We consider q-analogs of Pascal’s like triangles, which were studied by Atanassov in a series of papers.

### Keywords

- Pascal triangle
- Sequence
*q*-binomial coefficient

### AMS Classification

- 11B37

### References

- Andrews, G. E. (2004) Fibonacci numbers and the Rogers-Ramanujan identities, Fibonacci Quarterly, 42(1), 3–19.
- Atanassov, K. T. (2007) On some Pascal’s like triangles. Part 1, Notes on Number Theory and Discrete Mathematics, 13(1), 31–36.
- Atanassov, K. T. (2007) On some Pascal’s like triangles. Part 2, Notes on Number Theory and Discrete Mathematics, 13(2), 10–14.
- Bondarenko, B. A. (1993) Generalized Pascal Triangles and Pyramids, Their Fractals, Graphs and Applications, The Fibonacci Association.
- Carlitz, L. (1974) Fibonacci notes – 3: q-Fibonacci numbers, Fibonacci Quarterly, 12(4), 317–322.
- Goldwasser, J., W. Klostermeyer, M. Mays & G. Trapp (1999) The density of ones in Pascal’s rhombus. Discrete Mathematics, 204, 231–236.
- Leyendekkers, J. V., A. G. Shannon & J. M. Rybak (2007) Pattern recognition: Modular Rings and Integer Structure. Raffles KvB Monograph No. 9, North Sydney.
- Schur, I. (1917) Ein Beitrag zur additiven Zahlentheorie und zur Theorie der Kettenbruche, Sitzungsber., Akad. Wissensch. Berlin, Phys.-Math. Klasse, 302–321.

## Related papers

## Cite this paper

APAMansour, T. & Schork, M. (2015). On some q-Pascal’s like triangles. Notes on Number Theory and Discrete Mathematics, 21(4), 64-69.

ChicagoMansour, Toufik and Matthias Schork. “On Some q-Pascal’s Like Triangles.” Notes on Number Theory and Discrete Mathematics 21, no. 4 (2015): 64-69.

MLAMansour, Toufik and Matthias Schork. “On Some q-Pascal’s Like Triangles.” Notes on Number Theory and Discrete Mathematics 21.4 (2015): 64-69. Print.