Generalised (k, t)-Narayana sequence

Roji Bala Singla (1) , Vinod Mishra (2)
(1) Sant Longowal Institute of Engineering and Technology, India,
(2) Sant Longowal Institute of Engineering and Technology, India

Abstract

In this paper, we introduces Narayana sequence in two parameters, namely, (k, t)-Narayana sequence, which is generalization of classical Narayana sequence and provide some identities and matrix expressions. Further, we find relations between (k, t)-Narayana numbers and determinants and permanents of some Hessenberg matrices. We study recurrence relations and the sum of the first n terms of this sequence. We obtain some properties from matrices. Additionally, we define (k, t)−Narayana sequence for negative subscripts and derive some relations.

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Authors

Roji Bala Singla
rojisingla78@gmail.com (Primary Contact)
Vinod Mishra
Singla, R. B., & Mishra, V. (2024). Generalised (k, t)-Narayana sequence. Journal of the Indonesian Mathematical Society, 30(1), 121–138. https://doi.org/10.22342/jims.30.1.1432.121-138

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