|Journal of Integer Sequences, Vol. 3 (2000), Article 00.1.7|
Abstract: We show that formulas of Gessel, for the generating functions for Young standard tableaux of height bounded by k (see ), satisfy linear differential equations, with polynomial coefficients, equivalent to P-recurrences conjectured by Favreau, Krob and the first author (see ) for the number of bounded height tableaux and pairs of bounded height tableaux.
(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.