A q-analog of the Seidel generation of Genocchi numbers

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.