The $\gamma$-Vectors of Pascal-like Triangles Defined by Riordan Arrays

zbMath1454.11059arXiv1804.05027MaRDI QIDQ4612117

Paul Barry

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1804.05027

zbMATH Keywords

Riordan arrayNarayana numberpermutahedronEulerian numberassociahedronPascal-like trianglegamma vector

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Matrices of integers (15B36) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

Palindromic Riordan arrays, classical orthogonal polynomials and Catalan triangles

Uses Software

• OEIS

Cites Work

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• f-vectors and h-vectors of simplicial posets
• The Riordan group
• Left-inversion of combinatorial sums
• Fuss-Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group
• Real root conjecture fails for five- and higher-dimensional spheres
• Runs, Slides and Moments
• The on-line encyclopedia of integer sequences
• Eulerian Numbers

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