KrewerasNumber on IntegerPartition
The number of noncrossing set partitions whose block sizes are the parts: the size factorial over the factorial of size + 1 - length and the factorials of the multiplicities.
Called as CombinatorialStat(x, "KrewerasNumber"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000517
The Kreweras number of an integer partition.
| Object | Value |
|---|---|
[] | 1 |
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000517 has the rest.