Abstract
This paper focuses on the combinatorial enumeration of the truncated hollow standard Young tableaux of approximate C shape. The enumeration formula of approximately C-shaped SYT, namely the convolution of Catalan numbers, is derived by using the multi-integral method based on the sequence statistical model. Meanwhile, it is found that the first and last rows differ in the number of boxes. In the case where the number of boxes in the last row n is large enough, the number of SYT does not change, especially if m = 1, whether it is closely related to the Catalan number. In addition, we present two main closed formulas for SYTs of angular and “T” shapes.
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