Titlebook: Combinatoire enumerative; Proceedings of the " Gilbert Labelle,Pierre Leroux Conference proceedings 1986 Springer-Verlag Berlin Heidelberg

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Partitions with "N copies of N", Model and have recently been studied in [1]. To exhibit the importance of our main theorem we present three particular cases which yield elegant partition identities of Rogers-Ramanujan Type. We shall also pose a very significant open problem.

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Relations fonctionnelles et denombrement des hypercartes planaires pointees,ution is the generating function enumerating rooted planar hypermaps..Used together, these two relations allow us to obtain, without any hard formal calculus, a really simple system of parametric equations for the generating series enumerating rooted planar hypermaps by their number of vertices, fac

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Enumeration of certain young tableaux with bounded height,the number of such tableaux with entries between 1 and n, and having at most 2k rows, is the product .. The proof is mainly bijective, using configurations of non-crossing paths. At the end we need the qd-algorithm from Padé approximants theory.

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,Raising operators and Young’s rule,rive what is now sometimes referred to as Young‘s rule. In previous joint work [3] we have made rigorous a portion of Young‘s argument by interpreting these operators as acting on Ferrers‘ diagrams. Other authors, somewhat later have presented similar interpretations (see [8] and [10]). In the prese

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Chemins sous-diagonaux et tableaux de Young,) decreasing the x coordinate by 1, (3) increasing the y coordinate by 1, (4) decreasing the y coordinate by 1. The number of such paths of length ℓ, from (0,0) to any point whose y-coordinate is 0, lying below or touching the main diagonal, is C.C. for ℓ=2n and C.C. for ℓ=2n+1 where C. is the Catal

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