By using the correspondence between nested order statistics and standard Young tableaux,the enumeration of the standard Young tableaux is transformed into a multiple integration problem on[0,1]uniformly distributed nested order statistics on intervals.Based on the one-to-one correspon-dence between the hollow equal length shifted standard Young tableaux and the nested simplex,an oc-cupancy model is established.Combined with the Python algorithm,the model is analyzed and solved to obtain the counting formula for the hollow equal length shifted standard Young tableaux with 4 cells in each row,resulting in a 2n-1 Fibonacci sequence.Based on this occupancy model,a more gen-eral counting formula for the hollow equal length shifted standard Young tableaux are derived.
关键词
标准杨表/中空等长平移型/排队占位模型/Fibonacci数/python算法
Key words
Standard Young tableaux/Hollow equal length shifted shapes/Occupancy model/2n-1 Fi-bonacci sequence/Python algorithm
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