A q-analog of the Seidel generation of Genocchi numbers

作者:Zeng J*; Zhou J
来源:European Journal of Combinatorics, 2006, 27(3): 364-381.
DOI:10.1016/j.ejc.2005.01.001

摘要

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.