A criterion for the log-convexity of combinatorial sequences

zbMath1298.05041MaRDI QIDQ396910

Ernest X. W. Xia, Olivia X. M. Yao

Publication date: 14 August 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i4p3

zbMATH Keywords

log-convexitycombinatorial sequencesthree-term recurrence

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial inequalities (05A20) Special sequences and polynomials (11B83)

Related Items (6)

Sun's log-concavity conjecture on the Catalan-Larcombe-French sequence ⋮ Proof of a conjecture of Z.-W. Sun on ratio monotonicity ⋮ The ratio log-concavity of the Cohen numbers ⋮ The asymptotic log-convexity of Apéry-like numbers ⋮ Positivity problem of three-term recurrence sequences ⋮ Log-behavior of two sequences related to the elliptic integrals

Uses Software

• OEIS

Cites Work

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• The signs of three-term recurrence sequences
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• Positivity of three-term recurrence sequences
• Bijective recurrences concerning Schröder paths
• On the average rank of an element in a filter of the partition lattice
• A classic proof of a recurrence for a very classical sequence
• On the log-convexity of combinatorial sequences
• Logarithmic behavior of some combinatorial sequences
• Log-balanced combinatorial sequences
• The 2-log-convexity of the Apéry Numbers
• CONJECTURES INVOLVING ARITHMETICAL SEQUENCES
• The enumeration of tree-like polyhexes

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