A q-analog of the Seidel generation of Genocchi numbers

  • Authors:
  • Jiang Zeng;Jin Zhou

  • Affiliations:
  • Institut Girard Desargues, Université Claude Bernard (Lyon I), Villeurbanne Cedex, France;Center for Combinatorics, LPMC, Nankai University, Tianjin, People's Republic of China

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2006

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Abstract

A new q-analog of Genocchi numbers is introduced through a q-analog of Seidel's triangle associated with 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.