- Volume 32 Issue 4
Generating function of cells of generalized young tableaux
- Park, Seul-Hee ;
- Lee, Jae-Jin
- Published : 1995.11.01
In 1954 Frame, Robinson and Thrall  gave the hook formula for the number of standard Young tableaux of a given shape. Since then many proofs for the hook formula have been given using various methods. See  forprobabilistic method and see  or  for combinatorial ones. Regev  has given asymptotic values for these numbers and Gouyou-Beauchamps  gave exact formulas for the number of standard Young tableaux having n cells and at most k rows in the cases k = 4 and k = 5.
Pfaffian;nonintersecting path;generalized Young tableaux