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A q-analog of the Seidel generation of Genocchi numbers

Jiang Zeng·Jin Zhou
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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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Jiang Zeng, Jin Zhou. 2005-01-14. A q-analog of the Seidel generation of Genocchi numbers. https://arxiv.org/abs/math/0501217

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