FlooredHalfMultiplicitySum on IntegerPartition
The sum, over part sizes, of half the multiplicity rounded down.
Called as CombinatorialStat(x, "FlooredHalfMultiplicitySum"). 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 St000150
The floored half-sum of the multiplicities of a partition.
| Object | Value |
|---|---|
[] | 0 |
[1] | 0 |
[2] | 0 |
[3] | 0 |
[4] | 0 |
[5] | 0 |
[6] | 0 |
[7] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000150 has the rest.