On certain symmetry properties of the Genocchi numbers

DOI10.1016/0012-365X(95)00145-MzbMath0870.05002OpenAlexW49972985MaRDI QIDQ1917534

Zeng, Jiang

Publication date: 3 September 1996

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

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00145-m

zbMATH Keywords

Motzkin pathsGenocchi numbersDumont-Foata polynomialssymmetric polynomial sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (7)

The homogenized Linial arrangement and Genocchi numbers ⋮ Moments of orthogonal polynomials and exponential generating functions ⋮ Cycles of even-odd drop permutations and continued fractions of Genocchi numbers ⋮ Ferrers graphs, D-permutations, and surjective staircases ⋮ The Matrix Ansatz, orthogonal polynomials, and permutations ⋮ Wall’s continued-fraction characterization of Hausdorff moment sequences: A conceptual proof ⋮ A bijection between irreducible \(k\)-shapes and surjective pistols of height \(k - 1\)

Cites Work

• Explicit formulas for the Dumont-Foata polynomial
• Combinatorial aspects of continued fractions
• Further results on the Euler and Genocchi numbers
• On an extension of the Genocchi numbers
• Conjectures on the ternary symmetries connected to the Genocchi numbers
• Une propriété de symétrie des nombres de Genocchi
• Continued Fractions and Totally Monotone Sequences

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