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ASYMMETRIC EXTENSION OF PASCAL-DELANNOY TRIANGLES.
- Source :
-
Applicable Analysis & Discrete Mathematics . Oct2022, Vol. 16 Issue 2, p328-349. 22p. - Publication Year :
- 2022
-
Abstract
- In this paper, we give a generalization of the Pascal triangle called the quasi s-Pascal triangle. For this, consider a set of lattice path, which is a dual approach to the definition of Ramirez and Sirvent: A Generalization of the k-bonacci Sequence from Riordan Arrays. The electronic journal of combinatorics, 22(1) (2015), 1-38. We give the recurrence relation for the sum of elements lying over finite ray of the quasi s-Pascal triangle, then, we establish a q-analogue of the coefficient of this triangle. Some identities are also given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TRIANGLES
*ELECTRONIC journals
*COMBINATORICS
*GENERATING functions
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 14528630
- Volume :
- 16
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis & Discrete Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 160061724
- Full Text :
- https://doi.org/10.2298/AADM200411028A