Work

Bi-periodic Fibonomial coefficients

Year: 2025

Type: article

Abstract: In the present study, we introduce a new generalization of Fibonomial coefficients known as bi-periodic Fibonomial coefficients, which can be expressed in relation to bi-periodic Fibonacci num-bers. We establish various properties of these coefficients, including recurrence relation and recurrence formulas for powers of the bi-periodic Fibonacci numbers. Moreover, we provide combinatorial interpre-tation through weighted tilings generated by lattice paths and offer combinatorial proofs for bi-periodic Fibonomial identities.

Source: Filomat

DOI: 10.2298/fil2503963b

Authors: Imène Benrabia, Nassima Belaggoun, Hacène Belbachir

Institutions: University of Sciences and Technology Houari Boumediene, Centre de Recherche sur l'Information Scientifique et Technique

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412898626

FWCI: 2.735

Cites: 12

Cited by: 1

Related to: 10