Unimodality, linear recurrences and combinatorial properties associated to rays in the generalized Delannoy matrix

DOI10.1080/10236198.2019.1662413zbMath1440.05013OpenAlexW2973141541WikidataQ127284907 ScholiaQ127284907MaRDI QIDQ5240632

Said Amrouche, Hacène Belbachir, José L. Ramírez

Publication date: 29 October 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1662413

zbMATH Keywords

recurrence relationunimodalitylog-concavityDelannoy matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (4)

Asymmetric extension of Pascal-Delannoy triangles ⋮ Summations on the diagonals of a Riordan array and some applications ⋮ The halves of Delannoy matrix and Chung-Feller properties of the \(m\)-Schröder paths ⋮ On $k$-generalized Lucas sequence with its triangle

Uses Software

• OEIS

Cites Work

• Confirming two conjectures of Su and Wang on binomial coefficients
• Log-concavity and LC-positivity
• On unimodality problems in Pascal's triangle
• A generalization of Lucas polynomial sequence
• The Riordan group
• On a unimodal sequence of binomial coefficients
• A generalization of the \(k\)-bonacci sequence from Riordan arrays
• Sums of the squares of terms of sequence \(\{u_n\}\)
• Schröder matrix as inverse of Delannoy matrix
• On the log-convexity of combinatorial sequences
• Weighted lattice paths
• Why Delannoy numbers?
• Periods of morgan-voyce sequences and elliptic curves
• Generalized Schröder matrix and its combinatorial interpretation
• Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities
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