Identifier
Values
[1,0] => 10 => 01 => 2
[1,0,1,0] => 1010 => 0101 => 4
[1,1,0,0] => 1100 => 0011 => 2
[1,0,1,0,1,0] => 101010 => 010101 => 6
[1,0,1,1,0,0] => 101100 => 010011 => 3
[1,1,0,0,1,0] => 110010 => 001101 => 3
[1,1,0,1,0,0] => 110100 => 001011 => 4
[1,1,1,0,0,0] => 111000 => 000111 => 2
[1,0,1,0,1,0,1,0] => 10101010 => 01010101 => 8
[1,0,1,0,1,1,0,0] => 10101100 => 01010011 => 5
[1,0,1,1,0,0,1,0] => 10110010 => 01001101 => 3
[1,0,1,1,0,1,0,0] => 10110100 => 01001011 => 4
[1,0,1,1,1,0,0,0] => 10111000 => 01000111 => 3
[1,1,0,0,1,0,1,0] => 11001010 => 00110101 => 5
[1,1,0,0,1,1,0,0] => 11001100 => 00110011 => 2
[1,1,0,1,0,0,1,0] => 11010010 => 00101101 => 4
[1,1,0,1,0,1,0,0] => 11010100 => 00101011 => 6
[1,1,0,1,1,0,0,0] => 11011000 => 00100111 => 3
[1,1,1,0,0,0,1,0] => 11100010 => 00011101 => 3
[1,1,1,0,0,1,0,0] => 11100100 => 00011011 => 3
[1,1,1,0,1,0,0,0] => 11101000 => 00010111 => 4
[1,1,1,1,0,0,0,0] => 11110000 => 00001111 => 2
[1,1,0,1,0,1,0,0,1,0] => 1101010010 => 0010101101 => 6
[1,1,0,1,0,1,0,1,0,0] => 1101010100 => 0010101011 => 8
[1,1,0,1,0,1,1,0,0,0] => 1101011000 => 0010100111 => 5
[1,1,0,1,1,0,0,0,1,0] => 1101100010 => 0010011101 => 3
[1,1,0,1,1,0,0,1,0,0] => 1101100100 => 0010011011 => 3
[1,1,0,1,1,0,1,0,0,0] => 1101101000 => 0010010111 => 4
[1,1,0,1,1,1,0,0,0,0] => 1101110000 => 0010001111 => 3
[1,1,1,0,0,0,1,0,1,0] => 1110001010 => 0001110101 => 5
[1,1,1,0,0,0,1,1,0,0] => 1110001100 => 0001110011 => 2
[1,1,1,0,0,1,0,0,1,0] => 1110010010 => 0001101101 => 3
[1,1,1,0,0,1,0,1,0,0] => 1110010100 => 0001101011 => 5
[1,1,1,0,0,1,1,0,0,0] => 1110011000 => 0001100111 => 2
[1,1,1,0,1,0,0,0,1,0] => 1110100010 => 0001011101 => 4
[1,1,1,0,1,0,0,1,0,0] => 1110100100 => 0001011011 => 4
[1,1,1,0,1,0,1,0,0,0] => 1110101000 => 0001010111 => 6
[1,1,1,0,1,1,0,0,0,0] => 1110110000 => 0001001111 => 3
[1,1,1,1,0,0,0,0,1,0] => 1111000010 => 0000111101 => 3
[1,1,1,1,0,0,0,1,0,0] => 1111000100 => 0000111011 => 3
[1,1,1,1,0,0,1,0,0,0] => 1111001000 => 0000110111 => 3
[1,1,1,1,0,1,0,0,0,0] => 1111010000 => 0000101111 => 4
[1,1,1,1,1,0,0,0,0,0] => 1111100000 => 0000011111 => 2
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Description
The length of the longest alternating subword.
This is the length of the longest consecutive subword of the form $010...$ or of the form $101...$.
Map
to binary word
Description
Return the Dyck word as binary word.
Map
complement
Description
Send a binary word to the word obtained by interchanging the two letters.