StrongRecordCount on IntegerComposition
Parts greater than every part before: the first part and each new maximum.
Knopfmacher and Mansour, Record statistics in integer compositions.
Called as CombinatorialStat(x, "StrongRecordCount"). 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 St000764
The number of strong 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/St000764 has the rest.