Un -tableau d’Euler

In [R. Clarke, G.N. Han, J. Zeng, A combinatorial interpretation of the Seidel generation of q -derangement numbers, Ann. Comb. 1 (1997) 313–327] Clarke, Han and Zeng introduced a generalized Euler’s difference table. In this paper, we add a third variable and give a combinatorial interpretation of this generalization.