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Counting Young tableaux of bounded height. (English) Zbl 0953.05079
Summary: We show that formulas of Gessel, for the generating functions for Young standard tableaux of height bounded by $$k$$, satisfy linear differential equations, with polynomial coefficients, equivalent to $$P$$-recurrences conjectured by Favreau, Krob and the first author for the number of bounded height tableaux and pairs of bounded height tableaux.

##### MSC:
 5e+10 Combinatorial aspects of representation theory
OEIS; gfun
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