FirstRowHookLengthSum on IntegerPartition
The sum of the hook lengths in the first row: the size plus the binomial of the largest part and 2.
Called as CombinatorialStat(x, "FirstRowHookLengthSum"). The head's page has its examples.
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FindStat St000867
The sum of the hook lengths in the first row of an integer partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 1 |
[2] | 3 |
[3] | 6 |
[4] | 10 |
[5] | 15 |
[6] | 21 |
[7] | 28 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000867 has the rest.