|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.