BorderCount on BinaryWord
The prefixes shorter than the word that are also suffixes, the empty one included.
FindStat's St001884.
Called as CombinatorialStat(x, "BorderCount"). 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 St001884
The number of borders of a binary word.
| Object | Value |
|---|---|
0 | 1 |
1 | 1 |
00 | 2 |
01 | 1 |
10 | 1 |
11 | 2 |
000 | 3 |
001 | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001884 has the rest.