Seven (lattice) paths to log-convexity

DOI10.1007/s10440-009-9515-4zbMath1225.05018OpenAlexW2028251898WikidataQ60691963 ScholiaQ60691963MaRDI QIDQ970521

Tomislav Došlić

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9515-4

zbMATH Keywords

integer sequenceslattice pathslog-convexityCatalan numbersMotzkin numbersSchröder numbersDelannoy numbersrecurrences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Recurrences (11B37) Special sequences and polynomials (11B83) Polyominoes (05B50)

Related Items (10)

The log-balancedness of generalized derangement numbers ⋮ The log-convexity of \(r\)-derangement numbers ⋮ Log-concavity and log-convexity of moments of averages of i.i.d. random variables ⋮ On Sampling Simple Paths in Planar Graphs According to Their Lengths ⋮ A criterion for the log-convexity of combinatorial sequences ⋮ The asymptotic log-convexity of Apéry-like numbers ⋮ Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences ⋮ Unnamed Item ⋮ The log-behavior of ménage numbers ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inductive and injective proofs of log concavity results
• On some new sequences generalizing the Catalan and Motzkin numbers
• Dyck path enumeration
• A combinatorial proof of the log-concavity of the numbers of permutations with \(k\) runs
• Basic analytic combinatorics of directed lattice paths
• Interprétation bijective d'une récurrence des nombres de Motzkin. (Bijective interpretation of a recurrence of Motzkin numbers)
• Enumerative aspects of secondary structures
• Log-concavity and related properties of the cycle index polynomials
• On the log-convexity of combinatorial sequences
• Logarithmic behavior of some combinatorial sequences
• A note on concavity properties of triangular arrays of numbers
• Why Delannoy numbers?
• Log-balanced combinatorial sequences
• Binary strings without zigzags
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Log-convexity of the minimum total power in CDMA systems with certain quality-of-service guaranteed
• Hipparchus, Plutarch, Schroder, and Hough
• ROLES OF LOG-CONCAVITY, LOG-CONVEXITY, AND GROWTH ORDER IN WHITE NOISE ANALYSIS
• Probabilistic Transforms for Combinatorial Urn Models
• Henri-Auguste Delannoy, une biographie (1e partie)
• Infinite Divisibility of Discrete Distributions, II
• Relations between hypersurface cross ratios, and a combinatorial formula for partitions of a polygon, for permanent preponderance, and for non-associative products
• Motzkin numbers
• Bell numbers, log-concavity, and log-convexity

This page was built for publication: Seven (lattice) paths to log-convexity