A q-analog of the Seidel generation of Genocchi numbers

Jiang Zeng; Jin Zhou

doi:10.1016/j.ejc.2005.01.001

A q-analog of the Seidel generation of Genocchi numbers

Jiang Zeng, Jin Zhou

Epidemiology and Biostatistics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English (US)
Pages (from-to)	364-381
Number of pages	18
Journal	European Journal of Combinatorics
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/j.ejc.2005.01.001
State	Published - Apr 2006

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2005.01.001

Cite this

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title = "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.",

author = "Jiang Zeng and Jin Zhou",

note = "Funding Information: The first author was supported by EC{\textquoteright}s IHRP Programme, within Research Training Network “Algebraic Combinatorics in Europe,” grant HPRN-CT-2001-00272. ",

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N2 - 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.

AB - 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.

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JO - European Journal of Combinatorics

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ER -

A q-analog of the Seidel generation of Genocchi numbers

Abstract

ASJC Scopus subject areas

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