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Total positivity of Catalan triangle

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Publication:488279
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DOI10.1016/j.disc.2014.11.017zbMath1305.05004OpenAlexW2081610329MaRDI QIDQ488279

Charles Zhao-Chen Wang, Yi Wang

Publication date: 23 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.disc.2014.11.017


zbMATH Keywords

Catalan numbertotally positive matrixCatalan triangle


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05) Matrices of integers (15B36)


Related Items (5)

Proof of a conjecture on the total positivity of amazing matrices ⋮ Total positivity of recursive matrices ⋮ On total positivity of Catalan-Stieltjes matrices ⋮ Total positivity of Toeplitz matrices of recursive hypersequences ⋮ Unnamed Item


Uses Software

  • OEIS


Cites Work

  • Some new binomial sums related to the Catalan triangle
  • A Catalan triangle
  • Pascal triangles, Catalan numbers and renewal arrays
  • Catalan-like numbers and determinants
  • Parametric Catalan numbers and Catalan triangles
  • Enumeration via ballot numbers
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item
  • Unnamed Item


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