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

金絲雀

擴(kuò)大

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.

Negotiate

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.

夾死提手勢

,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

Euthyroid

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 ?, from (0,0) to any point whose y-coordinate is 0, lying below or touching the main diagonal, is C.C. for ?=2n and C.C. for ?=2n+1 where C. is the Catal

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