Hankel determinants of shifted Catalan-like numbers

DOI10.1016/j.disc.2016.09.035zbMath1369.05014OpenAlexW2556158768MaRDI QIDQ2400573

Lili Mu, Yi Wang

Publication date: 29 August 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2016.09.035

zbMATH Keywords

Hankel determinantSomos sequenceCatalan-like number

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Determinants, permanents, traces, other special matrix functions (15A15) Other combinatorial number theory (11B75)

Related Items (4)

Hankel determinants of linear combinations of consecutive Catalan-like numbers ⋮ Determinant identities for the Catalan, Motzkin and Schröder numbers ⋮ Hankel determinants for generating functions of Catalan-like numbers ⋮ Hankel determinants for convolution powers of Catalan numbers

Cites Work

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• A unified approach for the Hankel determinants of classical combinatorial numbers
• The Laurent phenomenon
• Log-convexity of Aigner-Catalan-Riordan numbers
• Catalan-like numbers and Stieltjes moment sequences
• Determinants of (generalised) Catalan numbers
• Proof of the Somos-4 Hankel determinants conjecture
• Sequence characterization of Riordan arrays
• The Riordan group
• Advanced determinant calculus
• Catalan-like numbers and determinants
• Riordan arrays and combinatorial sums
• Hankel determinants for some common lattice paths
• Evaluation of some Hankel determinants
• Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
• Advanced determinant calculus: a complement
• The Hankel transform of a sequence obtained by series reversion
• Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences
• Some aspects of Hankel matrices in coding theory and combinatorics

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