I am going through A NON-RECURSIVE EXPRESSION FOR THE NUMBER OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP $S_n$ by AMUNATEGUI. In table I, the classification of the partitions of n according to the numbers of sub-partitions differing from unity is presented. The screenshot is given below.
I am having trouble in understanding the elements in this table. Let us take the case of the symmetric group $S_n$ which corresponds to the row $p(5)$ in the table. So, what do the values $1, 4, 2$ mean here? How do the values correspond to the partitions mentioned in the following partition table of $S_n$?
