A combinatorial proof of a formula for the Lucas-Narayana polynomials

DOI10.1016/j.disc.2022.113077zbMath1503.11027OpenAlexW4288032395WikidataQ113877012 ScholiaQ113877012MaRDI QIDQ2675838

Kendra Killpatrick, Kristina C. Garrett

Publication date: 26 September 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113077

zbMATH Keywords

Narayana numberfibonomial coefficientLucasnomialLucas-Narayana polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• Binomial determinants, paths, and hook length formulae
• Lucas atoms
• Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers
• Combinatorial Interpretations of Binomial Coefficient Analogues Related to Lucas Sequences

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