ASYMMETRIC EXTENSION OF PASCAL-DELANNOY TRIANGLES

Applicable Analysis and Discrete Mathematics

article

Said Amrouche¹  Hacene Belbachir² 

[1] USTHB, Faculty of Mathematics, RECITS Laboratory;Scientific and Technical Information Research Center, Ben Aknoun, Algiers, Algeria, USTHB, Faculty of Mathematics, RECITS Laboratory

关键词: Generalized Pascal triangle;    Recurrence relations;    Generating function;    q-analogue;   

DOI  :  10.2298/AADM200411028A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

In this paper, we give a generalization of the Pascal triangle called the quasis-Pascal triangle. For this, consider a set of lattice path, which is a dualapproach to the definition of Ramirez and Sirvent: A Generalization of thek-bonacci Sequence from Riordan Arrays. The electronic journal of combinatorics, 22(1) (2015), 1–38. We give the recurrence relation for the sum ofelements lying over finite ray of the quasi s-Pascal triangle, then, we establisha q-analogue of the coefficient of this triangle. Some identities are also given.

【 授权许可】

Unknown