Balance on BinaryWord
The least q such that any two factors of one length differ by at most q ones.
FindStat's St000628.
Called as CombinatorialStat(x, "Balance"). The head's page has its examples.
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Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000628
The balance of a binary word.
| Object | Value |
|---|---|
0 | 0 |
1 | 0 |
00 | 0 |
01 | 1 |
10 | 1 |
11 | 0 |
000 | 0 |
001 | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000628 has the rest.