Yet another triangle for the Genocchi numbers

DOI10.1006/eujc.1999.0370zbMath0965.05009OpenAlexW2158068887MaRDI QIDQ1580671

Richard Ehrenborg, Einar Steingrímsson

Publication date: 2 August 2001

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/35476fc53b531ec87fa7140e5b09e651048773a5

zbMATH Keywords

Genocchi numbersSeidel matrixSeidel triangleexceedance-alternating permutations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Permutations, words, matrices (05A05)

Related Items (14)

Proof of conjecture of Ehrenborg and Steingrímsson on excedance statistic ⋮ A \(q\)-analog of the Seidel generation of Genocchi numbers ⋮ The excedance algebra ⋮ Terrain-like graphs and the median Genocchi numbers ⋮ Genocchi numbers and \(f\)-vectors of simplicial balls ⋮ Quadratic decomposition of Laguerre polynomials via lowering operators ⋮ The pinnacle set of a permutation ⋮ Matrix Schubert varieties and Gaussian conditional independence models ⋮ Unnamed Item ⋮ Enumerating \(S_n\) by associated transpositions and linear extensions of finite posets ⋮ The expansion of a chord diagram and the Genocchi numbers ⋮ Alternation acyclic tournaments ⋮ Explicit expressions for the extremal excedance set statistics ⋮ The excedance set of a permutation

Cites Work

• Interpretations combinatoires des nombres de Genocchi
• A combinatorial interpretation of the Seidel generation of \(q\)-derangement numbers
• Gandhi \(q\)-polynomials and Denert statistic
• Derangements and Genocchi numbers
• Alternating anagrams
• The excedance set of a permutation
• Further triangles of Seidel-Arnold type and continued fractions related to Euler and Springer numbers
• Some equidistributed statistics on Genocchi permutations
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• Une propriété de symétrie des nombres de Genocchi
• Cycle peaks and partial derivatives
• On the permutations counted by the Genocchi numbers of the first and second kind

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