YoungLatticeCoveringRelationCount on IntegerPartition
The covering relations of Young's lattice among the partitions contained in this one: the sum of their corners.
Called as CombinatorialStat(x, "YoungLatticeCoveringRelationCount"). 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 St001360
The number of covering relations in Young's lattice below a 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/St001360 has the rest.