×

zbMATH — the first resource for mathematics

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:
05E10 Combinatorial aspects of representation theory
Software:
OEIS; gfun
PDF BibTeX XML Cite
Full Text: EMIS EuDML