Florent Hivert ; Olivier Mallet
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Combinatorics of k-shapes and Genocchi numbers
dmtcs:2928 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2011,
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
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https://doi.org/10.46298/dmtcs.2928
Combinatorics of k-shapes and Genocchi numbers
Authors: Florent Hivert 1; Olivier Mallet 1
0000-0002-7531-5985##NULL
Florent Hivert;Olivier Mallet
1 Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
In this paper we present a work in progress on a conjectural new combinatorial model for the Genocchi numbers. This new model called irreducible k-shapes has a strong algebraic background in the theory of symmetric functions and leads to seemingly new features on the theory of Genocchi numbers. In particular, the natural q-analogue coming from the degree of symmetric functions seems to be unknown so far.
Bigeni, Ange, 0000-0002-5782-599, 2015, A Bijection Between Irreduciblek-Shapes And Surjective Pistols Of Heightkâ1, Discrete Mathematics, 338, 8, pp. 1432-1448, 10.1016/j.disc.2015.03.013.