DiagonalHookLengthProduct on IntegerPartition
The product of the hook lengths of the cells on the main diagonal.
Called as CombinatorialStat(x, "DiagonalHookLengthProduct"). The head's page has its examples.
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Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000870
The product of the hook lengths of the diagonal cells in an integer partition.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 2 |
[3] | 3 |
[4] | 4 |
[5] | 5 |
[6] | 6 |
[7] | 7 |
[8] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000870 has the rest.