Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers

zbMath1300.05022arXiv1402.1827MaRDI QIDQ405232

Ange Bigeni

Publication date: 4 September 2014

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

Full work available at URL: https://arxiv.org/abs/1402.1827

zbMATH Keywords

Genocchi numbersDellac configurationsDellac historiesDumont permutations

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (7)

Combinatorial interpretations of the Kreweras triangle in terms of subset tuples ⋮ Symmetric Dellac configurations and symplectic/orthogonal flag varieties ⋮ Terrain-like graphs and the median Genocchi numbers ⋮ Cycles of even-odd drop permutations and continued fractions of Genocchi numbers ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Symmetric Dellac configurations ⋮ Alternation acyclic tournaments

Uses Software

• OEIS

Cites Work

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• Quiver Grassmannians and degenerate flag varieties
• The median Genocchi numbers, \(q\)-analogues and continued fractions
• Combinatorial aspects of continued fractions
• Interpretations combinatoires des nombres de Genocchi
• Gandhi \(q\)-polynomials and Denert statistic
• Derangements and Genocchi numbers
• Degenerate flag varieties and the median Genocchi numbers
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• On the permutations counted by the Genocchi numbers of the first and second kind

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