Journal of Integer Sequences, Vol. 3 (2000), Article 00.1.7

Counting Young Tableaux of Bounded Height

François Bergeron and Francis Gascon
Département de Mathématiques
Université du Quebec à Montreal
Email address: and

With support from NSERC and FCAR

Abstract: 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.

Full version:  pdf,    dvi,    ps

(Concerned with sequences A000108 A001006 A001405 A005802 A005817 A007579 A049401 A052397 A052398 A052399.)

Received Nov. 10, 1999; published in Journal of Integer Sequences March 15, 2000.

Return to Journal of Integer Sequences home page