A determinantal expression and a recursive relation of the Delannoy numbers

DOI10.2478/ausm-2021-0027zbMath1496.11041arXiv2003.12572OpenAlexW3013309784MaRDI QIDQ2667749

Feng Qi

Publication date: 1 March 2022

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12572

zbMATH Keywords

Delannoy numberrecursive relationdeterminantal expressioncentral Delannoy number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Special sequences and polynomials (11B83) Matrices, determinants in number theory (11C20)

Related Items (7)

Several closed and determinantal forms for convolved Fibonacci numbers ⋮ Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers ⋮ A new recursive formula arising from a determinantal expression for weighted Delannoy numbers ⋮ A new orthogonal polynomial associated with a generalization of Delannoy numbers ⋮ Unnamed Item ⋮ Several Determinantal Expressions of Generalized Tribonacci Polynomials and Sequences ⋮ Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Analytic aspects of Delannoy numbers
• Some properties of central Delannoy numbers
• Why Delannoy numbers?

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