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A q-analog of the Seidel generation of Genocchi numbers

2005/01/14 by Jiang Zeng, Jin Zhou, Zeng, Jiang +2
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #math.CO

paper · pdf · doi:10.48550/arxiv.math/0501217

17 pages

arxiv created 2005/01/14 · openalex publication_date 2005/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new q-analog of Genocchi numbers is introduced through a q-analog of Seidel's triangle associated to Genocchi numbers. It is then shown that these q-Genocchi numbers have interesting combinatorial interpretations in the classical models for Genocchi numbers such as alternating pistols, alternating permutations, non intersecting lattice paths and skew Young tableaux.

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