A Young tableau chosen at random from those having a given shape. A random tableau can be generated by RandomTableau[shape] in the Wolfram Language package Combinatorica` . The figure above shows four random tableaux of the 21 distinct ones of shape .
Random Tableau
See also
Young TableauExplore with Wolfram|Alpha
References
Nijenhuis, A. and Wilf, H. Combinatorial Algorithms for Computers and Calculators, 2nd ed. New York: Academic Press, 1978.Skiena, S. "Random Tableaux." §2.3.5 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, pp. 72-73, 1990.Referenced on Wolfram|Alpha
Random TableauCite this as:
Weisstein, Eric W. "Random Tableau." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RandomTableau.html