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Recently, Zeng has given a combinatorial interpretation of the moments of q-Laguerre and q-Charlier polynomials. On the other hand, generalizations of Laguerre polynomials have been studied by A. de Médicis and Viennot, Simion and Stanton. In the present paper, by using the same methods, we propose to answer the question of finding a combinatorial interpretation of the moments of a sequence of some orthogonal polynomials, which was originally raised by Zeng in his unpublished note in 1992.

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