DistinctFactorCount on BinaryWord
The distinct factors, the empty one included: the subword complexity.
FindStat's St000294.
Called as CombinatorialStat(x, "DistinctFactorCount"). The head's page has its examples.
Live
Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000294
The number of distinct factors of a binary word.
| Object | Value |
|---|---|
0 | 2 |
1 | 2 |
00 | 3 |
01 | 4 |
10 | 4 |
11 | 3 |
000 | 4 |
001 | 6 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000294 has the rest.