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A q-analog of the Seidel generation of Genocchi numbers

Jiang Zeng, Jin Zhou

math.COarXiv:math/0501217

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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