Enumeration formulas for Standard Young Tableaux of Two Parallel Line Shapes based on different Algebraic and Modeling Methods

This paper focuses on the combinatorial enumeration of the truncated hollow standard Young tableaux of two parallel line shapes. The enumeration formula of the vertical parallel line similar to the U-shaped SYT is derived by using the multi-integral method based on the sequence statistical model. Meanwhile, it is found that the enumeration formula of the oblique parallel line standard Young tableau is difficult to calculate by same method. Therefore, an occupancy model is established. And then combining with the python algorithm the enumeration formula of the oblique parallel line standard Young tableau, namely the 2n-order Fibonacci sequence, is obtained.