A new recursive formula arising from a determinantal expression for weighted Delannoy numbers
From MaRDI portal
Publication:5100215
DOI10.3906/mat-2009-92zbMath1493.05014OpenAlexW3123400715MaRDI QIDQ5100215
Publication date: 29 August 2022
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-2009-92
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
Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers ⋮ A new orthogonal polynomial associated with a generalization of Delannoy numbers ⋮ Explicit, determinantal, recursive formulas, and generating functions of generalized Humbert–Hermite polynomials via generalized Fibonacci polynomials ⋮ Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers ⋮ Generalized Delannoy matrices and their combinatorial properties
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Several closed expressions for the Euler numbers
- A supercongruence involving Delannoy numbers and Schröder numbers
- On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
- Proof of Sun's conjectures on integer-valued polynomials
- On Delannoy numbers and Schröder numbers
- Derivatives of tangent function and tangent numbers
- Two closed forms for the Bernoulli polynomials
- A new generalization of Delannoy numbers
- The Lucas property of a number array
- Arithmetic properties of Delannoy numbers and Schröder numbers
- A kind of orthogonal polynomials and related identities
- Closed forms for derangement numbers in terms of the Hessenberg determinants
- Some identities for a sequence of unnamed polynomials connected with the Bell polynomials
- Analytic aspects of Delannoy numbers
- RETRACTED ARTICLE: A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant
- Some determinantal expressions and recurrence relations of the Bernoulli polynomials
- Supercongruences involving dual sequences
- Some properties of central Delannoy numbers
- A note on lattice chains and Delannoy numbers
- Weighted lattice paths
- On weighted lattice paths
- Why Delannoy numbers?
- A determinantal expression and a recursive relation of the Delannoy numbers
- ASYMPTOTICS OF THE WEIGHTED DELANNOY NUMBERS
- Some congruences on Delannoy numbers and Schröder numbers
- Fibonacci Determinants