Geodesic
Counting Young tableaux of bounded height
Journal of integer sequences, Tome 3 (2000) no. 1
We show that formulas of Gessel, for the generating functions for Young standard tableaux of height bounded by k (see [2]), satisfy linear differential equations, with polynomial coefficients, equivalent to P-recurrences conjectured by Favreau, Krob and the first author (see [1]) for the number of bounded height tableaux and pairs of bounded height tableaux.
Classification : 05E10
Mots-clés : generating functions, Young standard tableaux, bounded height tableaux 
@article{JIS_2000__3_1_a2,
     author = {Bergeron,  Fran\c{c}ois and Gascon,  Francis},
     title = {Counting {Young} tableaux of bounded height},
     journal = {Journal of integer sequences},
     year = {2000},
     volume = {3},
     number = {1},
     zbl = {0953.05079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a2/}
}
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Bergeron,  François; Gascon,  Francis. Counting Young tableaux of bounded height. Journal of integer sequences, Tome 3 (2000) no. 1. http://geodesic.mathdoc.fr/item/JIS_2000__3_1_a2/