RepetitionExponent on BinaryWord
The largest e such that the word is e copies of one word.
FindStat's St000627, also called the frequency. The word is copies of a word of length q when q divides n and the first n - q letters are the last n - q.
Called as CombinatorialStat(x, "RepetitionExponent"). 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 St000627
The exponent 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/St000627 has the rest.