WeakRecordCount on IntegerComposition
Parts at least as great as every part before.
Knopfmacher and Mansour, Record statistics in integer compositions.
Called as CombinatorialStat(x, "WeakRecordCount"). The head's page has its examples.
Live
Distribution
Over IntegerCompositions at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000765
The number of weak records in an integer composition.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[7] | 1 |
[8] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000765 has the rest.