The enumeration method is usually used to calculate the permitted J terms of jⁿ configuration，but it becomes too complex to be used when the values of j，n become large enough. In this paper，a recurrence method instead of the conventional one is suggsted，thus greatly simplifying the calculation. For example，using this method it takes only 3 seconds of CPU time of the VAX-11/730 Computer to finish the classification of j=1/2～15/2，Whereas about 290 seconds are needed if the enumeration method is used. The classification results of j=1/2～15/2 have been listed in a table，and it is pointed out that there are 3 errors in the table of res.[2].