Geodesic
A bijection between 3-Motzkin paths and Schröder paths with no peak at odd
Journal of integer sequences, Tome 12 (2009) no. 3.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A new bijection between 3-Motzkin paths and Schröder paths with no peak at odd height is presented, together with numerous consequences involving related combinatorial structures such as 2-Motzkin paths, ordinary Motzkin paths and Dyck paths.
Classification : 05A05, 05A15, 05A19
Keywords: 3-Motzkin paths, schr$\ddot $oder paths, 2-Motzkin paths, Motzkin paths, Dyck paths, fine paths, riordan paths, Catalan numbers 
@article{JIS_2009__12_3_a7,
     author = {Shapiro, Louis W. and Wang, Carol J.},
     title = {A bijection between {3-Motzkin} paths and {Schr\"oder} paths with no peak at odd},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a7/}
}
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Shapiro, Louis W.; Wang, Carol J. A bijection between 3-Motzkin paths and Schröder paths with no peak at odd. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a7/