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Matching statistic: St001414
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Mapping
St001414: Binary words ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
0 => 0
1 => 0
00 => 0
01 => 0
10 => 0
11 => 0
000 => 1
001 => 0
010 => 1
011 => 0
100 => 0
101 => 1
110 => 0
111 => 1
0000 => 1
0001 => 1
0010 => 0
0011 => 0
0100 => 1
0101 => 1
0110 => 0
0111 => 0
1000 => 0
1001 => 0
1010 => 1
1011 => 1
1100 => 0
1101 => 0
1110 => 1
1111 => 1
00000 => 2
00001 => 1
00010 => 1
00011 => 1
00100 => 2
00101 => 0
00110 => 0
00111 => 0
01000 => 1
01001 => 1
01010 => 2
01011 => 1
01100 => 0
01101 => 0
01110 => 2
01111 => 0
10000 => 0
10001 => 2
10010 => 0
10011 => 0
Description
Half the length of the longest odd length palindromic prefix of a binary word. More precisely, this statistic is the largest number $k$ such that the word has a palindromic prefix of length $2k+1$.