Sur une Généralisation des Coefficients Binomiaux

Frédéric Jouhet, Bodo Lass, Jiang Zeng


We prove a recent conjecture of Lassalle about positivity and integrality of coefficients in some polynomial expansions. We also give a combinatorial interpretation of those numbers. Finally, we show that this question is closely related to the fundamental problem of calculating the linearization coefficients for binomial coefficients.

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