OddPalindromicPrefixHalfLength on BinaryWord
The largest j such that the prefix of length 2 j + 1 is a palindrome.
FindStat's St001414.
Called as CombinatorialStat(x, "OddPalindromicPrefixHalfLength"). 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 St001414
Half the length of the longest odd length palindromic prefix of a binary word.
| Object | Value |
|---|---|
0 | 0 |
1 | 0 |
00 | 0 |
01 | 0 |
10 | 0 |
11 | 0 |
000 | 1 |
001 | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001414 has the rest.