PartsEqualToNextPart on IntegerPartition
Parts whose next smaller part has the same size: the number of parts less the distinct parts.
Called as CombinatorialStat(x, "PartsEqualToNextPart"). 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 St001091
The number of parts in an integer partition whose next smaller part has the same size.
| 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/St001091 has the rest.