Year: 2023
Type: article
Abstract: In this paper, we study the generalized Fibonacci like sequences {𝑡 𝑘,𝑛 } 𝑘∈{2,3},𝑛∈N with arbitrary initial seed and give some new and wellknown identities like Binet's formula, trace sequence, Catalan's identity, generating function, etc. Further, we study various properties of these generalized sequences, establish a recursive matrix and relationships with Fibonacci and Lucas numbers and sequence of Fibonacci traces.In this study, we examine the nature of identities and recursive matrices for arbitrary initial values.
Authors: Kalika Prasad, Hrishikesh Mahato
Institution: Central University of Jharkhand
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4377822850