Identifier
Mp00093: Dyck paths —to binary word⟶ Binary words
Mp00158: Binary words —alternating inverse⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Images
[1,0] => 10 => 11 => 11
[1,0,1,0] => 1010 => 1111 => 1111
[1,1,0,0] => 1100 => 1001 => 1001
[1,0,1,0,1,0] => 101010 => 111111 => 111111
[1,0,1,1,0,0] => 101100 => 111001 => 100111
[1,1,0,0,1,0] => 110010 => 100111 => 111001
[1,1,0,1,0,0] => 110100 => 100001 => 100001
[1,1,1,0,0,0] => 111000 => 101101 => 101101
[1,0,1,0,1,0,1,0] => 10101010 => 11111111 => 11111111
[1,0,1,0,1,1,0,0] => 10101100 => 11111001 => 10011111
[1,0,1,1,0,0,1,0] => 10110010 => 11100111 => 11100111
[1,0,1,1,0,1,0,0] => 10110100 => 11100001 => 10000111
[1,0,1,1,1,0,0,0] => 10111000 => 11101101 => 10110111
[1,1,0,0,1,0,1,0] => 11001010 => 10011111 => 11111001
[1,1,0,0,1,1,0,0] => 11001100 => 10011001 => 10011001
[1,1,0,1,0,0,1,0] => 11010010 => 10000111 => 11100001
[1,1,0,1,0,1,0,0] => 11010100 => 10000001 => 10000001
[1,1,0,1,1,0,0,0] => 11011000 => 10001101 => 10110001
[1,1,1,0,0,0,1,0] => 11100010 => 10110111 => 11101101
[1,1,1,0,0,1,0,0] => 11100100 => 10110001 => 10001101
[1,1,1,0,1,0,0,0] => 11101000 => 10111101 => 10111101
[1,1,1,1,0,0,0,0] => 11110000 => 10100101 => 10100101
[1,0,1,0,1,0,1,0,1,0] => 1010101010 => 1111111111 => 1111111111
[1,0,1,0,1,0,1,1,0,0] => 1010101100 => 1111111001 => 1001111111
[1,0,1,0,1,1,0,0,1,0] => 1010110010 => 1111100111 => 1110011111
[1,0,1,0,1,1,0,1,0,0] => 1010110100 => 1111100001 => 1000011111
[1,0,1,0,1,1,1,0,0,0] => 1010111000 => 1111101101 => 1011011111
[1,0,1,1,0,0,1,0,1,0] => 1011001010 => 1110011111 => 1111100111
[1,0,1,1,0,0,1,1,0,0] => 1011001100 => 1110011001 => 1001100111
[1,0,1,1,0,1,0,0,1,0] => 1011010010 => 1110000111 => 1110000111
[1,0,1,1,0,1,0,1,0,0] => 1011010100 => 1110000001 => 1000000111
[1,0,1,1,0,1,1,0,0,0] => 1011011000 => 1110001101 => 1011000111
[1,0,1,1,1,0,0,0,1,0] => 1011100010 => 1110110111 => 1110110111
[1,0,1,1,1,0,0,1,0,0] => 1011100100 => 1110110001 => 1000110111
[1,0,1,1,1,0,1,0,0,0] => 1011101000 => 1110111101 => 1011110111
[1,0,1,1,1,1,0,0,0,0] => 1011110000 => 1110100101 => 1010010111
[1,1,0,0,1,0,1,0,1,0] => 1100101010 => 1001111111 => 1111111001
[1,1,0,0,1,0,1,1,0,0] => 1100101100 => 1001111001 => 1001111001
[1,1,0,0,1,1,0,0,1,0] => 1100110010 => 1001100111 => 1110011001
[1,1,0,0,1,1,0,1,0,0] => 1100110100 => 1001100001 => 1000011001
[1,1,0,0,1,1,1,0,0,0] => 1100111000 => 1001101101 => 1011011001
[1,1,0,1,0,0,1,0,1,0] => 1101001010 => 1000011111 => 1111100001
[1,1,0,1,0,0,1,1,0,0] => 1101001100 => 1000011001 => 1001100001
[1,1,0,1,0,1,0,0,1,0] => 1101010010 => 1000000111 => 1110000001
[1,1,0,1,0,1,0,1,0,0] => 1101010100 => 1000000001 => 1000000001
[1,1,0,1,0,1,1,0,0,0] => 1101011000 => 1000001101 => 1011000001
[1,1,0,1,1,0,0,0,1,0] => 1101100010 => 1000110111 => 1110110001
[1,1,0,1,1,0,0,1,0,0] => 1101100100 => 1000110001 => 1000110001
[1,1,0,1,1,0,1,0,0,0] => 1101101000 => 1000111101 => 1011110001
[1,1,0,1,1,1,0,0,0,0] => 1101110000 => 1000100101 => 1010010001
[1,1,1,0,0,0,1,0,1,0] => 1110001010 => 1011011111 => 1111101101
[1,1,1,0,0,0,1,1,0,0] => 1110001100 => 1011011001 => 1001101101
[1,1,1,0,0,1,0,0,1,0] => 1110010010 => 1011000111 => 1110001101
[1,1,1,0,0,1,0,1,0,0] => 1110010100 => 1011000001 => 1000001101
[1,1,1,0,0,1,1,0,0,0] => 1110011000 => 1011001101 => 1011001101
[1,1,1,0,1,0,0,0,1,0] => 1110100010 => 1011110111 => 1110111101
[1,1,1,0,1,0,0,1,0,0] => 1110100100 => 1011110001 => 1000111101
[1,1,1,0,1,0,1,0,0,0] => 1110101000 => 1011111101 => 1011111101
[1,1,1,0,1,1,0,0,0,0] => 1110110000 => 1011100101 => 1010011101
[1,1,1,1,0,0,0,0,1,0] => 1111000010 => 1010010111 => 1110100101
[1,1,1,1,0,0,0,1,0,0] => 1111000100 => 1010010001 => 1000100101
[1,1,1,1,0,0,1,0,0,0] => 1111001000 => 1010011101 => 1011100101
[1,1,1,1,0,1,0,0,0,0] => 1111010000 => 1010000101 => 1010000101
[1,1,1,1,1,0,0,0,0,0] => 1111100000 => 1010110101 => 1010110101
[1,0,1,0,1,0,1,0,1,0,1,0] => 101010101010 => 111111111111 => 111111111111
[1,0,1,0,1,0,1,0,1,1,0,0] => 101010101100 => 111111111001 => 100111111111
[1,0,1,0,1,0,1,1,0,0,1,0] => 101010110010 => 111111100111 => 111001111111
[1,0,1,0,1,0,1,1,0,1,0,0] => 101010110100 => 111111100001 => 100001111111
[1,0,1,0,1,0,1,1,1,0,0,0] => 101010111000 => 111111101101 => 101101111111
[1,0,1,0,1,1,0,0,1,0,1,0] => 101011001010 => 111110011111 => 111110011111
[1,0,1,0,1,1,0,0,1,1,0,0] => 101011001100 => 111110011001 => 100110011111
[1,0,1,0,1,1,0,1,0,0,1,0] => 101011010010 => 111110000111 => 111000011111
[1,0,1,0,1,1,0,1,0,1,0,0] => 101011010100 => 111110000001 => 100000011111
[1,0,1,0,1,1,0,1,1,0,0,0] => 101011011000 => 111110001101 => 101100011111
[1,0,1,0,1,1,1,0,0,0,1,0] => 101011100010 => 111110110111 => 111011011111
[1,0,1,0,1,1,1,0,0,1,0,0] => 101011100100 => 111110110001 => 100011011111
[1,0,1,0,1,1,1,0,1,0,0,0] => 101011101000 => 111110111101 => 101111011111
[1,0,1,0,1,1,1,1,0,0,0,0] => 101011110000 => 111110100101 => 101001011111
[1,0,1,1,0,0,1,0,1,0,1,0] => 101100101010 => 111001111111 => 111111100111
[1,0,1,1,0,0,1,0,1,1,0,0] => 101100101100 => 111001111001 => 100111100111
[1,0,1,1,0,0,1,1,0,0,1,0] => 101100110010 => 111001100111 => 111001100111
[1,0,1,1,0,0,1,1,0,1,0,0] => 101100110100 => 111001100001 => 100001100111
[1,0,1,1,0,0,1,1,1,0,0,0] => 101100111000 => 111001101101 => 101101100111
[1,0,1,1,0,1,0,0,1,0,1,0] => 101101001010 => 111000011111 => 111110000111
[1,0,1,1,0,1,0,0,1,1,0,0] => 101101001100 => 111000011001 => 100110000111
[1,0,1,1,0,1,0,1,0,0,1,0] => 101101010010 => 111000000111 => 111000000111
[1,0,1,1,0,1,0,1,0,1,0,0] => 101101010100 => 111000000001 => 100000000111
[1,0,1,1,0,1,0,1,1,0,0,0] => 101101011000 => 111000001101 => 101100000111
[1,0,1,1,0,1,1,0,0,0,1,0] => 101101100010 => 111000110111 => 111011000111
[1,0,1,1,0,1,1,0,0,1,0,0] => 101101100100 => 111000110001 => 100011000111
[1,0,1,1,0,1,1,0,1,0,0,0] => 101101101000 => 111000111101 => 101111000111
[1,0,1,1,0,1,1,1,0,0,0,0] => 101101110000 => 111000100101 => 101001000111
[1,0,1,1,1,0,0,0,1,0,1,0] => 101110001010 => 111011011111 => 111110110111
[1,0,1,1,1,0,0,0,1,1,0,0] => 101110001100 => 111011011001 => 100110110111
[1,0,1,1,1,0,0,1,0,0,1,0] => 101110010010 => 111011000111 => 111000110111
[1,0,1,1,1,0,0,1,0,1,0,0] => 101110010100 => 111011000001 => 100000110111
[1,0,1,1,1,0,0,1,1,0,0,0] => 101110011000 => 111011001101 => 101100110111
[1,0,1,1,1,0,1,0,0,0,1,0] => 101110100010 => 111011110111 => 111011110111
[1,0,1,1,1,0,1,0,0,1,0,0] => 101110100100 => 111011110001 => 100011110111
[1,0,1,1,1,0,1,0,1,0,0,0] => 101110101000 => 111011111101 => 101111110111
[1,0,1,1,1,0,1,1,0,0,0,0] => 101110110000 => 111011100101 => 101001110111
>>> Load all 248 entries. <<<
[1,0,1,1,1,1,0,0,0,0,1,0] => 101111000010 => 111010010111 => 111010010111
[1,0,1,1,1,1,0,0,0,1,0,0] => 101111000100 => 111010010001 => 100010010111
[1,0,1,1,1,1,0,0,1,0,0,0] => 101111001000 => 111010011101 => 101110010111
[1,0,1,1,1,1,0,1,0,0,0,0] => 101111010000 => 111010000101 => 101000010111
[1,0,1,1,1,1,1,0,0,0,0,0] => 101111100000 => 111010110101 => 101011010111
[1,1,0,0,1,0,1,0,1,0,1,0] => 110010101010 => 100111111111 => 111111111001
[1,1,0,0,1,0,1,0,1,1,0,0] => 110010101100 => 100111111001 => 100111111001
[1,1,0,0,1,0,1,1,0,0,1,0] => 110010110010 => 100111100111 => 111001111001
[1,1,0,0,1,0,1,1,0,1,0,0] => 110010110100 => 100111100001 => 100001111001
[1,1,0,0,1,0,1,1,1,0,0,0] => 110010111000 => 100111101101 => 101101111001
[1,1,0,0,1,1,0,0,1,0,1,0] => 110011001010 => 100110011111 => 111110011001
[1,1,0,0,1,1,0,0,1,1,0,0] => 110011001100 => 100110011001 => 100110011001
[1,1,0,0,1,1,0,1,0,0,1,0] => 110011010010 => 100110000111 => 111000011001
[1,1,0,0,1,1,0,1,0,1,0,0] => 110011010100 => 100110000001 => 100000011001
[1,1,0,0,1,1,0,1,1,0,0,0] => 110011011000 => 100110001101 => 101100011001
[1,1,0,0,1,1,1,0,0,0,1,0] => 110011100010 => 100110110111 => 111011011001
[1,1,0,0,1,1,1,0,0,1,0,0] => 110011100100 => 100110110001 => 100011011001
[1,1,0,0,1,1,1,0,1,0,0,0] => 110011101000 => 100110111101 => 101111011001
[1,1,0,0,1,1,1,1,0,0,0,0] => 110011110000 => 100110100101 => 101001011001
[1,1,0,1,0,0,1,0,1,0,1,0] => 110100101010 => 100001111111 => 111111100001
[1,1,0,1,0,0,1,0,1,1,0,0] => 110100101100 => 100001111001 => 100111100001
[1,1,0,1,0,0,1,1,0,0,1,0] => 110100110010 => 100001100111 => 111001100001
[1,1,0,1,0,0,1,1,0,1,0,0] => 110100110100 => 100001100001 => 100001100001
[1,1,0,1,0,0,1,1,1,0,0,0] => 110100111000 => 100001101101 => 101101100001
[1,1,0,1,0,1,0,0,1,0,1,0] => 110101001010 => 100000011111 => 111110000001
[1,1,0,1,0,1,0,0,1,1,0,0] => 110101001100 => 100000011001 => 100110000001
[1,1,0,1,0,1,0,1,0,0,1,0] => 110101010010 => 100000000111 => 111000000001
[1,1,0,1,0,1,0,1,0,1,0,0] => 110101010100 => 100000000001 => 100000000001
[1,1,0,1,0,1,0,1,1,0,0,0] => 110101011000 => 100000001101 => 101100000001
[1,1,0,1,0,1,1,0,0,0,1,0] => 110101100010 => 100000110111 => 111011000001
[1,1,0,1,0,1,1,0,0,1,0,0] => 110101100100 => 100000110001 => 100011000001
[1,1,0,1,0,1,1,0,1,0,0,0] => 110101101000 => 100000111101 => 101111000001
[1,1,0,1,0,1,1,1,0,0,0,0] => 110101110000 => 100000100101 => 101001000001
[1,1,0,1,1,0,0,0,1,0,1,0] => 110110001010 => 100011011111 => 111110110001
[1,1,0,1,1,0,0,0,1,1,0,0] => 110110001100 => 100011011001 => 100110110001
[1,1,0,1,1,0,0,1,0,0,1,0] => 110110010010 => 100011000111 => 111000110001
[1,1,0,1,1,0,0,1,0,1,0,0] => 110110010100 => 100011000001 => 100000110001
[1,1,0,1,1,0,0,1,1,0,0,0] => 110110011000 => 100011001101 => 101100110001
[1,1,0,1,1,0,1,0,0,0,1,0] => 110110100010 => 100011110111 => 111011110001
[1,1,0,1,1,0,1,0,0,1,0,0] => 110110100100 => 100011110001 => 100011110001
[1,1,0,1,1,0,1,0,1,0,0,0] => 110110101000 => 100011111101 => 101111110001
[1,1,0,1,1,0,1,1,0,0,0,0] => 110110110000 => 100011100101 => 101001110001
[1,1,0,1,1,1,0,0,0,0,1,0] => 110111000010 => 100010010111 => 111010010001
[1,1,0,1,1,1,0,0,0,1,0,0] => 110111000100 => 100010010001 => 100010010001
[1,1,0,1,1,1,0,0,1,0,0,0] => 110111001000 => 100010011101 => 101110010001
[1,1,0,1,1,1,0,1,0,0,0,0] => 110111010000 => 100010000101 => 101000010001
[1,1,0,1,1,1,1,0,0,0,0,0] => 110111100000 => 100010110101 => 101011010001
[1,1,1,0,0,0,1,0,1,0,1,0] => 111000101010 => 101101111111 => 111111101101
[1,1,1,0,0,0,1,0,1,1,0,0] => 111000101100 => 101101111001 => 100111101101
[1,1,1,0,0,0,1,1,0,0,1,0] => 111000110010 => 101101100111 => 111001101101
[1,1,1,0,0,0,1,1,0,1,0,0] => 111000110100 => 101101100001 => 100001101101
[1,1,1,0,0,0,1,1,1,0,0,0] => 111000111000 => 101101101101 => 101101101101
[1,1,1,0,0,1,0,0,1,0,1,0] => 111001001010 => 101100011111 => 111110001101
[1,1,1,0,0,1,0,0,1,1,0,0] => 111001001100 => 101100011001 => 100110001101
[1,1,1,0,0,1,0,1,0,0,1,0] => 111001010010 => 101100000111 => 111000001101
[1,1,1,0,0,1,0,1,0,1,0,0] => 111001010100 => 101100000001 => 100000001101
[1,1,1,0,0,1,0,1,1,0,0,0] => 111001011000 => 101100001101 => 101100001101
[1,1,1,0,0,1,1,0,0,0,1,0] => 111001100010 => 101100110111 => 111011001101
[1,1,1,0,0,1,1,0,0,1,0,0] => 111001100100 => 101100110001 => 100011001101
[1,1,1,0,0,1,1,0,1,0,0,0] => 111001101000 => 101100111101 => 101111001101
[1,1,1,0,0,1,1,1,0,0,0,0] => 111001110000 => 101100100101 => 101001001101
[1,1,1,0,1,0,0,0,1,0,1,0] => 111010001010 => 101111011111 => 111110111101
[1,1,1,0,1,0,0,0,1,1,0,0] => 111010001100 => 101111011001 => 100110111101
[1,1,1,0,1,0,0,1,0,0,1,0] => 111010010010 => 101111000111 => 111000111101
[1,1,1,0,1,0,0,1,0,1,0,0] => 111010010100 => 101111000001 => 100000111101
[1,1,1,0,1,0,0,1,1,0,0,0] => 111010011000 => 101111001101 => 101100111101
[1,1,1,0,1,0,1,0,0,0,1,0] => 111010100010 => 101111110111 => 111011111101
[1,1,1,0,1,0,1,0,0,1,0,0] => 111010100100 => 101111110001 => 100011111101
[1,1,1,0,1,0,1,0,1,0,0,0] => 111010101000 => 101111111101 => 101111111101
[1,1,1,0,1,0,1,1,0,0,0,0] => 111010110000 => 101111100101 => 101001111101
[1,1,1,0,1,1,0,0,0,0,1,0] => 111011000010 => 101110010111 => 111010011101
[1,1,1,0,1,1,0,0,0,1,0,0] => 111011000100 => 101110010001 => 100010011101
[1,1,1,0,1,1,0,0,1,0,0,0] => 111011001000 => 101110011101 => 101110011101
[1,1,1,0,1,1,0,1,0,0,0,0] => 111011010000 => 101110000101 => 101000011101
[1,1,1,0,1,1,1,0,0,0,0,0] => 111011100000 => 101110110101 => 101011011101
[1,1,1,1,0,0,0,0,1,0,1,0] => 111100001010 => 101001011111 => 111110100101
[1,1,1,1,0,0,0,0,1,1,0,0] => 111100001100 => 101001011001 => 100110100101
[1,1,1,1,0,0,0,1,0,0,1,0] => 111100010010 => 101001000111 => 111000100101
[1,1,1,1,0,0,0,1,0,1,0,0] => 111100010100 => 101001000001 => 100000100101
[1,1,1,1,0,0,0,1,1,0,0,0] => 111100011000 => 101001001101 => 101100100101
[1,1,1,1,0,0,1,0,0,0,1,0] => 111100100010 => 101001110111 => 111011100101
[1,1,1,1,0,0,1,0,0,1,0,0] => 111100100100 => 101001110001 => 100011100101
[1,1,1,1,0,0,1,0,1,0,0,0] => 111100101000 => 101001111101 => 101111100101
[1,1,1,1,0,0,1,1,0,0,0,0] => 111100110000 => 101001100101 => 101001100101
[1,1,1,1,0,1,0,0,0,0,1,0] => 111101000010 => 101000010111 => 111010000101
[1,1,1,1,0,1,0,0,0,1,0,0] => 111101000100 => 101000010001 => 100010000101
[1,1,1,1,0,1,0,0,1,0,0,0] => 111101001000 => 101000011101 => 101110000101
[1,1,1,1,0,1,0,1,0,0,0,0] => 111101010000 => 101000000101 => 101000000101
[1,1,1,1,0,1,1,0,0,0,0,0] => 111101100000 => 101000110101 => 101011000101
[1,1,1,1,1,0,0,0,0,0,1,0] => 111110000010 => 101011010111 => 111010110101
[1,1,1,1,1,0,0,0,0,1,0,0] => 111110000100 => 101011010001 => 100010110101
[1,1,1,1,1,0,0,0,1,0,0,0] => 111110001000 => 101011011101 => 101110110101
[1,1,1,1,1,0,0,1,0,0,0,0] => 111110010000 => 101011000101 => 101000110101
[1,1,1,1,1,0,1,0,0,0,0,0] => 111110100000 => 101011110101 => 101011110101
[1,1,1,1,1,1,0,0,0,0,0,0] => 111111000000 => 101010010101 => 101010010101
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 11001100110010 => 10011001100111 => 11100110011001
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 11001101001010 => 10011000011111 => 11111000011001
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 11001101100010 => 10011000110111 => 11101100011001
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 11001111000010 => 10011010010111 => 11101001011001
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 11010010110010 => 10000111100111 => 11100111100001
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 11010010111000 => 10000111101101 => 10110111100001
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 11010011001010 => 10000110011111 => 11111001100001
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 11010011100010 => 10000110110111 => 11101101100001
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 11010011101000 => 10000110111101 => 10111101100001
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 11010100101010 => 10000001111111 => 11111110000001
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 11010110001010 => 10000011011111 => 11111011000001
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 11010110100010 => 10000011110111 => 11101111000001
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 11010110101000 => 10000011111101 => 10111111000001
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 11011000110010 => 10001101100111 => 11100110110001
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 11011001001010 => 10001100011111 => 11111000110001
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 11011001100010 => 10001100110111 => 11101100110001
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 11011001101000 => 10001100111101 => 10111100110001
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 11011011000010 => 10001110010111 => 11101001110001
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 11011100001010 => 10001001011111 => 11111010010001
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 11011100100010 => 10001001110111 => 11101110010001
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 11011100101000 => 10001001111101 => 10111110010001
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 11011110000010 => 10001011010111 => 11101011010001
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 11011110001000 => 10001011011101 => 10111011010001
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 11011110100000 => 10001011110101 => 10101111010001
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 11100101001010 => 10110000011111 => 11111000001101
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 11110000110010 => 10100101100111 => 11100110100101
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 11110001001010 => 10100100011111 => 11111000100101
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 11110001100010 => 10100100110111 => 11101100100101
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 11110011000010 => 10100110010111 => 11101001100101
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 11110100001010 => 10100001011111 => 11111010000101
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 11110100100010 => 10100001110111 => 11101110000101
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 11110100101000 => 10100001111101 => 10111110000101
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 11110110000010 => 10100011010111 => 11101011000101
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 11110110001000 => 10100011011101 => 10111011000101
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 11110110100000 => 10100011110101 => 10101111000101
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 11111100000010 => 10101001010111 => 11101010010101
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 11111100001000 => 10101001011101 => 10111010010101
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 11111100100000 => 10101001110101 => 10101110010101
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 11111110000000 => 10101011010101 => 10101011010101
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 1010101101010100 => 1111111000000001 => 1000000001111111
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] => 1101010110101000 => 1000000011111101 => 1011111100000001
[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0] => 1101011100001010 => 1000001001011111 => 1111101001000001
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => 1110100101010010 => 1011110000000111 => 1110000000111101
[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0] => 1111010100101000 => 1010000001111101 => 1011111000000101
[] => => =>
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 110101011010101000 => 100000001111111101 => 101111111100000001
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0] => 110101110010101000 => 100000100111111101 => 101111111001000001
[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0] => 111111110010000000 => 101010100111010101 => 101010111001010101
[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0] => 111111111000000000 => 101010101101010101 => 101010101101010101
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 10101010110101010100 => 11111111100000000001 => 10000000000111111111
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] => 11010101011010101000 => 10000000001111111101 => 10111111110000000001
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0] => 1101010101101010101000 => 1000000000111111111101 => 1011111111110000000001
Map
to binary word
Description
Return the Dyck word as binary word.
Map
alternating inverse
Description
Sends a binary word $w_1\cdots w_m$ to the binary word $v_1 \cdots v_m$ with $v_i = w_i$ if $i$ is odd and $v_i = 1 - w_i$ if $i$ is even.
This map is used in [1], see Definitions 3.2 and 5.1.
Map
reverse
Description
Return the reversal of a binary word.