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math.CO2018
On central Fubini-like numbers and polynomials
Hacène Belbachir, Yahia Djemmada
We introduce the central Fubini-like numbers and polynomials using Rota approach. Several identities and properties are established as generating functions, recurrences, explicit f…
math.CO2018★ 1 cited
Plateau Polycubes and Lateral Area
Abderrahim Arabi, Hacène Belbachir, Jean-Philippe Dubernard
In this paper, we enumerate two families of polycubes, the directed plateau polycubes and the plateau polycubes, with respect to the width and a new parameter, the Lateral Area. We…