Work

Combinatorial Identities for the Narayana Numbers

Year: 2025

Type: article

Abstract: We interpret the Narayana numbers combinatorially by having them count the number of tilings of an n-strip using squares and triominoes. Using this interpretation, we develop a collection of identities satisfied by the sequence of Narayana numbers. Additionally, these techniques are used to introduce the generalized Narayana numbers and the k-Narayana numbers and to prove corresponding identities.

Source: Axioms

DOI: 10.3390/axioms14100771

Authors: Ángel Plaza, Steven J. Tedford

Institutions: Universidad de Las Palmas de Gran Canaria, Misericordia University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4415294894

FWCI: 2.735

Cites: 14

Cited by: 1

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