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- W2034290972 abstract "The purpose of this note is to give a combinatorial proof of the three-term linear recurrence for Motzkin numbers. The present work is inspired by Rémy's combinatorial proof of the linear recurrence for Catalan numbers (RAIRO Inform. Theor. 19(2) (1985) 179) and the more recent proof given by Foata and Zeilberger (J. Combin. Theory Ser. A 80(2) (1997) 380) for Schröder numbers (Z. Math. Phys. 15 (1870) 361). Cette note a pour objectif de donner une preuve combinatoire d'une formule de récurrence à trois termes vérifiée par les nombres de Motzkin. Elle suit le même cheminement que la preuve bijective de Rémy (RAIRO Inform. Theor. 19(2) (185) 179) pour la récurrence des nombres de Catalan, et que la preuve beaucoup plus récente donnée par Foata et Zeilberger (J. Combin. Theory Ser. A 80(2) (1997) 380) pour la récurrence des nombres de Schröder (Z. Math. Phys. 15 (1870) 361)." @default.
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- W2034290972 date "2002-10-01" @default.
- W2034290972 modified "2023-09-27" @default.
- W2034290972 title "Interprétation bijective d'une récurrence des nombres de Motzkin" @default.
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- W2034290972 doi "https://doi.org/10.1016/s0012-365x(02)00342-4" @default.
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