Identifier
-
Mp00261:
Binary words
—Burrows-Wheeler⟶
Binary words
St000626: Binary words ⟶ ℤ
Values
0 => 0 => 1
1 => 1 => 1
00 => 00 => 1
01 => 10 => 2
10 => 10 => 2
11 => 11 => 1
000 => 000 => 1
001 => 100 => 3
010 => 100 => 3
011 => 110 => 3
100 => 100 => 3
101 => 110 => 3
110 => 110 => 3
111 => 111 => 1
0000 => 0000 => 1
0001 => 1000 => 4
0010 => 1000 => 4
0011 => 1010 => 2
0100 => 1000 => 4
0101 => 1100 => 4
0110 => 1010 => 2
0111 => 1110 => 4
1000 => 1000 => 4
1001 => 1010 => 2
1010 => 1100 => 4
1011 => 1110 => 4
1100 => 1010 => 2
1101 => 1110 => 4
1110 => 1110 => 4
1111 => 1111 => 1
00000 => 00000 => 1
00001 => 10000 => 5
00010 => 10000 => 5
00011 => 10010 => 3
00100 => 10000 => 5
00101 => 11000 => 5
00110 => 10010 => 3
00111 => 10110 => 3
01000 => 10000 => 5
01001 => 11000 => 5
01010 => 11000 => 5
01011 => 11100 => 5
01100 => 10010 => 3
01101 => 11100 => 5
01110 => 10110 => 3
01111 => 11110 => 5
10000 => 10000 => 5
10001 => 10010 => 3
10010 => 11000 => 5
10011 => 10110 => 3
10100 => 11000 => 5
10101 => 11100 => 5
10110 => 11100 => 5
10111 => 11110 => 5
11000 => 10010 => 3
11001 => 10110 => 3
11010 => 11100 => 5
11011 => 11110 => 5
11100 => 10110 => 3
11101 => 11110 => 5
11110 => 11110 => 5
11111 => 11111 => 1
000000 => 000000 => 1
000001 => 100000 => 6
000010 => 100000 => 6
000011 => 100010 => 4
000100 => 100000 => 6
000101 => 101000 => 6
000110 => 100010 => 4
000111 => 100110 => 4
001000 => 100000 => 6
001001 => 110000 => 6
001010 => 101000 => 6
001011 => 101100 => 6
001100 => 100010 => 4
001101 => 110010 => 6
001110 => 100110 => 4
001111 => 101110 => 4
010000 => 100000 => 6
010001 => 101000 => 6
010010 => 110000 => 6
010011 => 110010 => 6
010100 => 101000 => 6
010101 => 111000 => 6
010110 => 101100 => 6
010111 => 111010 => 6
011000 => 100010 => 4
011001 => 101100 => 6
011010 => 110010 => 6
011011 => 111100 => 6
011100 => 100110 => 4
011101 => 111010 => 6
011110 => 101110 => 4
011111 => 111110 => 6
100000 => 100000 => 6
100001 => 100010 => 4
100010 => 101000 => 6
100011 => 100110 => 4
100100 => 110000 => 6
100101 => 101100 => 6
100110 => 110010 => 6
>>> Load all 1022 entries. <<<100111 => 101110 => 4
101000 => 101000 => 6
101001 => 110010 => 6
101010 => 111000 => 6
101011 => 111010 => 6
101100 => 101100 => 6
101101 => 111100 => 6
101110 => 111010 => 6
101111 => 111110 => 6
110000 => 100010 => 4
110001 => 100110 => 4
110010 => 101100 => 6
110011 => 101110 => 4
110100 => 110010 => 6
110101 => 111010 => 6
110110 => 111100 => 6
110111 => 111110 => 6
111000 => 100110 => 4
111001 => 101110 => 4
111010 => 111010 => 6
111011 => 111110 => 6
111100 => 101110 => 4
111101 => 111110 => 6
111110 => 111110 => 6
111111 => 111111 => 1
0000000 => 0000000 => 1
0000001 => 1000000 => 7
0000010 => 1000000 => 7
0000011 => 1000010 => 5
0000100 => 1000000 => 7
0000101 => 1001000 => 7
0000110 => 1000010 => 5
0000111 => 1000110 => 5
0001000 => 1000000 => 7
0001001 => 1100000 => 7
0001010 => 1001000 => 7
0001011 => 1001100 => 4
0001100 => 1000010 => 5
0001101 => 1010010 => 5
0001110 => 1000110 => 5
0001111 => 1001110 => 5
0010000 => 1000000 => 7
0010001 => 1100000 => 7
0010010 => 1100000 => 7
0010011 => 1100100 => 7
0010100 => 1001000 => 7
0010101 => 1110000 => 7
0010110 => 1001100 => 4
0010111 => 1011010 => 5
0011000 => 1000010 => 5
0011001 => 1100100 => 7
0011010 => 1010010 => 5
0011011 => 1101100 => 7
0011100 => 1000110 => 5
0011101 => 1100110 => 4
0011110 => 1001110 => 5
0011111 => 1011110 => 5
0100000 => 1000000 => 7
0100001 => 1001000 => 7
0100010 => 1100000 => 7
0100011 => 1010010 => 5
0100100 => 1100000 => 7
0100101 => 1110000 => 7
0100110 => 1100100 => 7
0100111 => 1100110 => 4
0101000 => 1001000 => 7
0101001 => 1110000 => 7
0101010 => 1110000 => 7
0101011 => 1111000 => 7
0101100 => 1001100 => 4
0101101 => 1111000 => 7
0101110 => 1011010 => 5
0101111 => 1110110 => 7
0110000 => 1000010 => 5
0110001 => 1001100 => 4
0110010 => 1100100 => 7
0110011 => 1101100 => 7
0110100 => 1010010 => 5
0110101 => 1111000 => 7
0110110 => 1101100 => 7
0110111 => 1111100 => 7
0111000 => 1000110 => 5
0111001 => 1011010 => 5
0111010 => 1100110 => 4
0111011 => 1111100 => 7
0111100 => 1001110 => 5
0111101 => 1110110 => 7
0111110 => 1011110 => 5
0111111 => 1111110 => 7
1000000 => 1000000 => 7
1000001 => 1000010 => 5
1000010 => 1001000 => 7
1000011 => 1000110 => 5
1000100 => 1100000 => 7
1000101 => 1001100 => 4
1000110 => 1010010 => 5
1000111 => 1001110 => 5
1001000 => 1100000 => 7
1001001 => 1100100 => 7
1001010 => 1110000 => 7
1001011 => 1011010 => 5
1001100 => 1100100 => 7
1001101 => 1101100 => 7
1001110 => 1100110 => 4
1001111 => 1011110 => 5
1010000 => 1001000 => 7
1010001 => 1010010 => 5
1010010 => 1110000 => 7
1010011 => 1100110 => 4
1010100 => 1110000 => 7
1010101 => 1111000 => 7
1010110 => 1111000 => 7
1010111 => 1110110 => 7
1011000 => 1001100 => 4
1011001 => 1101100 => 7
1011010 => 1111000 => 7
1011011 => 1111100 => 7
1011100 => 1011010 => 5
1011101 => 1111100 => 7
1011110 => 1110110 => 7
1011111 => 1111110 => 7
1100000 => 1000010 => 5
1100001 => 1000110 => 5
1100010 => 1001100 => 4
1100011 => 1001110 => 5
1100100 => 1100100 => 7
1100101 => 1011010 => 5
1100110 => 1101100 => 7
1100111 => 1011110 => 5
1101000 => 1010010 => 5
1101001 => 1100110 => 4
1101010 => 1111000 => 7
1101011 => 1110110 => 7
1101100 => 1101100 => 7
1101101 => 1111100 => 7
1101110 => 1111100 => 7
1101111 => 1111110 => 7
1110000 => 1000110 => 5
1110001 => 1001110 => 5
1110010 => 1011010 => 5
1110011 => 1011110 => 5
1110100 => 1100110 => 4
1110101 => 1110110 => 7
1110110 => 1111100 => 7
1110111 => 1111110 => 7
1111000 => 1001110 => 5
1111001 => 1011110 => 5
1111010 => 1110110 => 7
1111011 => 1111110 => 7
1111100 => 1011110 => 5
1111101 => 1111110 => 7
1111110 => 1111110 => 7
1111111 => 1111111 => 1
00000000 => 00000000 => 1
00000001 => 10000000 => 8
00000010 => 10000000 => 8
00000011 => 10000010 => 6
00000100 => 10000000 => 8
00000101 => 10001000 => 4
00000110 => 10000010 => 6
00000111 => 10000110 => 6
00001000 => 10000000 => 8
00001001 => 10100000 => 8
00001010 => 10001000 => 4
00001011 => 10001100 => 5
00001100 => 10000010 => 6
00001101 => 10010010 => 3
00001110 => 10000110 => 6
00001111 => 10001110 => 6
00010000 => 10000000 => 8
00010001 => 11000000 => 8
00010010 => 10100000 => 8
00010011 => 10100100 => 8
00010100 => 10001000 => 4
00010101 => 10110000 => 8
00010110 => 10001100 => 5
00010111 => 10011010 => 6
00011000 => 10000010 => 6
00011001 => 11000010 => 8
00011010 => 10010010 => 3
00011011 => 10101100 => 8
00011100 => 10000110 => 6
00011101 => 10100110 => 6
00011110 => 10001110 => 6
00011111 => 10011110 => 6
00100000 => 10000000 => 8
00100001 => 10100000 => 8
00100010 => 11000000 => 8
00100011 => 11000010 => 8
00100100 => 10100000 => 8
00100101 => 11100000 => 8
00100110 => 10100100 => 8
00100111 => 11001010 => 8
00101000 => 10001000 => 4
00101001 => 11100000 => 8
00101010 => 10110000 => 8
00101011 => 10111000 => 8
00101100 => 10001100 => 5
00101101 => 11010100 => 8
00101110 => 10011010 => 6
00101111 => 10110110 => 3
00110000 => 10000010 => 6
00110001 => 10100100 => 8
00110010 => 11000010 => 8
00110011 => 11001100 => 4
00110100 => 10010010 => 3
00110101 => 11100010 => 8
00110110 => 10101100 => 8
00110111 => 10111100 => 8
00111000 => 10000110 => 6
00111001 => 11001010 => 8
00111010 => 10100110 => 6
00111011 => 11011010 => 8
00111100 => 10001110 => 6
00111101 => 11001110 => 5
00111110 => 10011110 => 6
00111111 => 10111110 => 6
01000000 => 10000000 => 8
01000001 => 10001000 => 4
01000010 => 10100000 => 8
01000011 => 10010010 => 3
01000100 => 11000000 => 8
01000101 => 10110000 => 8
01000110 => 11000010 => 8
01000111 => 10100110 => 6
01001000 => 10100000 => 8
01001001 => 11100000 => 8
01001010 => 11100000 => 8
01001011 => 11010100 => 8
01001100 => 10100100 => 8
01001101 => 11100010 => 8
01001110 => 11001010 => 8
01001111 => 11001110 => 5
01010000 => 10001000 => 4
01010001 => 10110000 => 8
01010010 => 11100000 => 8
01010011 => 11100010 => 8
01010100 => 10110000 => 8
01010101 => 11110000 => 8
01010110 => 10111000 => 8
01010111 => 11110010 => 8
01011000 => 10001100 => 5
01011001 => 10111000 => 8
01011010 => 11010100 => 8
01011011 => 11111000 => 8
01011100 => 10011010 => 6
01011101 => 11110010 => 8
01011110 => 10110110 => 3
01011111 => 11101110 => 4
01100000 => 10000010 => 6
01100001 => 10001100 => 5
01100010 => 10100100 => 8
01100011 => 10101100 => 8
01100100 => 11000010 => 8
01100101 => 10111000 => 8
01100110 => 11001100 => 4
01100111 => 11011010 => 8
01101000 => 10010010 => 3
01101001 => 11010100 => 8
01101010 => 11100010 => 8
01101011 => 11111000 => 8
01101100 => 10101100 => 8
01101101 => 11111000 => 8
01101110 => 10111100 => 8
01101111 => 11111010 => 8
01110000 => 10000110 => 6
01110001 => 10011010 => 6
01110010 => 11001010 => 8
01110011 => 10111100 => 8
01110100 => 10100110 => 6
01110101 => 11110010 => 8
01110110 => 11011010 => 8
01110111 => 11111100 => 8
01111000 => 10001110 => 6
01111001 => 10110110 => 3
01111010 => 11001110 => 5
01111011 => 11111010 => 8
01111100 => 10011110 => 6
01111101 => 11101110 => 4
01111110 => 10111110 => 6
01111111 => 11111110 => 8
10000000 => 10000000 => 8
10000001 => 10000010 => 6
10000010 => 10001000 => 4
10000011 => 10000110 => 6
10000100 => 10100000 => 8
10000101 => 10001100 => 5
10000110 => 10010010 => 3
10000111 => 10001110 => 6
10001000 => 11000000 => 8
10001001 => 10100100 => 8
10001010 => 10110000 => 8
10001011 => 10011010 => 6
10001100 => 11000010 => 8
10001101 => 10101100 => 8
10001110 => 10100110 => 6
10001111 => 10011110 => 6
10010000 => 10100000 => 8
10010001 => 11000010 => 8
10010010 => 11100000 => 8
10010011 => 11001010 => 8
10010100 => 11100000 => 8
10010101 => 10111000 => 8
10010110 => 11010100 => 8
10010111 => 10110110 => 3
10011000 => 10100100 => 8
10011001 => 11001100 => 4
10011010 => 11100010 => 8
10011011 => 10111100 => 8
10011100 => 11001010 => 8
10011101 => 11011010 => 8
10011110 => 11001110 => 5
10011111 => 10111110 => 6
10100000 => 10001000 => 4
10100001 => 10010010 => 3
10100010 => 10110000 => 8
10100011 => 10100110 => 6
10100100 => 11100000 => 8
10100101 => 11010100 => 8
10100110 => 11100010 => 8
10100111 => 11001110 => 5
10101000 => 10110000 => 8
10101001 => 11100010 => 8
10101010 => 11110000 => 8
10101011 => 11110010 => 8
10101100 => 10111000 => 8
10101101 => 11111000 => 8
10101110 => 11110010 => 8
10101111 => 11101110 => 4
10110000 => 10001100 => 5
10110001 => 10101100 => 8
10110010 => 10111000 => 8
10110011 => 11011010 => 8
10110100 => 11010100 => 8
10110101 => 11111000 => 8
10110110 => 11111000 => 8
10110111 => 11111010 => 8
10111000 => 10011010 => 6
10111001 => 10111100 => 8
10111010 => 11110010 => 8
10111011 => 11111100 => 8
10111100 => 10110110 => 3
10111101 => 11111010 => 8
10111110 => 11101110 => 4
10111111 => 11111110 => 8
11000000 => 10000010 => 6
11000001 => 10000110 => 6
11000010 => 10001100 => 5
11000011 => 10001110 => 6
11000100 => 10100100 => 8
11000101 => 10011010 => 6
11000110 => 10101100 => 8
11000111 => 10011110 => 6
11001000 => 11000010 => 8
11001001 => 11001010 => 8
11001010 => 10111000 => 8
11001011 => 10110110 => 3
11001100 => 11001100 => 4
11001101 => 10111100 => 8
11001110 => 11011010 => 8
11001111 => 10111110 => 6
11010000 => 10010010 => 3
11010001 => 10100110 => 6
11010010 => 11010100 => 8
11010011 => 11001110 => 5
11010100 => 11100010 => 8
11010101 => 11110010 => 8
11010110 => 11111000 => 8
11010111 => 11101110 => 4
11011000 => 10101100 => 8
11011001 => 11011010 => 8
11011010 => 11111000 => 8
11011011 => 11111010 => 8
11011100 => 10111100 => 8
11011101 => 11111100 => 8
11011110 => 11111010 => 8
11011111 => 11111110 => 8
11100000 => 10000110 => 6
11100001 => 10001110 => 6
11100010 => 10011010 => 6
11100011 => 10011110 => 6
11100100 => 11001010 => 8
11100101 => 10110110 => 3
11100110 => 10111100 => 8
11100111 => 10111110 => 6
11101000 => 10100110 => 6
11101001 => 11001110 => 5
11101010 => 11110010 => 8
11101011 => 11101110 => 4
11101100 => 11011010 => 8
11101101 => 11111010 => 8
11101110 => 11111100 => 8
11101111 => 11111110 => 8
11110000 => 10001110 => 6
11110001 => 10011110 => 6
11110010 => 10110110 => 3
11110011 => 10111110 => 6
11110100 => 11001110 => 5
11110101 => 11101110 => 4
11110110 => 11111010 => 8
11110111 => 11111110 => 8
11111000 => 10011110 => 6
11111001 => 10111110 => 6
11111010 => 11101110 => 4
11111011 => 11111110 => 8
11111100 => 10111110 => 6
11111101 => 11111110 => 8
11111110 => 11111110 => 8
11111111 => 11111111 => 1
000000000 => 000000000 => 1
000000001 => 100000000 => 9
000000010 => 100000000 => 9
000000011 => 100000010 => 7
000000100 => 100000000 => 9
000000101 => 100001000 => 5
000000110 => 100000010 => 7
000000111 => 100000110 => 7
000001000 => 100000000 => 9
000001001 => 100100000 => 9
000001010 => 100001000 => 5
000001011 => 100001100 => 6
000001100 => 100000010 => 7
000001101 => 100010010 => 7
000001110 => 100000110 => 7
000001111 => 100001110 => 7
000010000 => 100000000 => 9
000010001 => 110000000 => 9
000010010 => 100100000 => 9
000010011 => 100100100 => 3
000010100 => 100001000 => 5
000010101 => 100110000 => 9
000010110 => 100001100 => 6
000010111 => 100011010 => 7
000011000 => 100000010 => 7
000011001 => 101000010 => 7
000011010 => 100010010 => 7
000011011 => 100101100 => 6
000011100 => 100000110 => 7
000011101 => 100100110 => 7
000011110 => 100001110 => 7
000011111 => 100011110 => 7
000100000 => 100000000 => 9
000100001 => 110000000 => 9
000100010 => 110000000 => 9
000100011 => 110000100 => 9
000100100 => 100100000 => 9
000100101 => 101100000 => 9
000100110 => 100100100 => 3
000100111 => 101001010 => 5
000101000 => 100001000 => 5
000101001 => 110010000 => 9
000101010 => 100110000 => 9
000101011 => 100111000 => 9
000101100 => 100001100 => 6
000101101 => 101010100 => 9
000101110 => 100011010 => 7
000101111 => 100110110 => 7
000110000 => 100000010 => 7
000110001 => 110000100 => 9
000110010 => 101000010 => 7
000110011 => 110001100 => 5
000110100 => 100010010 => 7
000110101 => 101100010 => 7
000110110 => 100101100 => 6
000110111 => 100111100 => 6
000111000 => 100000110 => 7
000111001 => 110000110 => 6
000111010 => 100100110 => 7
000111011 => 101011010 => 5
000111100 => 100001110 => 7
000111101 => 101001110 => 7
000111110 => 100011110 => 7
000111111 => 100111110 => 7
001000000 => 100000000 => 9
001000001 => 100100000 => 9
001000010 => 110000000 => 9
001000011 => 101000010 => 7
001000100 => 110000000 => 9
001000101 => 110010000 => 9
001000110 => 110000100 => 9
001000111 => 110000110 => 6
001001000 => 100100000 => 9
001001001 => 111000000 => 9
001001010 => 101100000 => 9
001001011 => 110011000 => 9
001001100 => 100100100 => 3
001001101 => 111000010 => 9
001001110 => 101001010 => 5
001001111 => 110010110 => 6
001010000 => 100001000 => 5
001010001 => 101100000 => 9
001010010 => 110010000 => 9
001010011 => 111001000 => 9
001010100 => 100110000 => 9
001010101 => 111100000 => 9
001010110 => 100111000 => 9
001010111 => 101110010 => 7
001011000 => 100001100 => 6
001011001 => 110011000 => 9
001011010 => 101010100 => 9
001011011 => 101111000 => 9
001011100 => 100011010 => 7
001011101 => 110101010 => 9
001011110 => 100110110 => 7
001011111 => 101101110 => 7
001100000 => 100000010 => 7
001100001 => 100100100 => 3
001100010 => 110000100 => 9
001100011 => 110001100 => 5
001100100 => 101000010 => 7
001100101 => 111001000 => 9
001100110 => 110001100 => 5
001100111 => 110011100 => 5
001101000 => 100010010 => 7
001101001 => 111000010 => 9
001101010 => 101100010 => 7
001101011 => 111011000 => 9
001101100 => 100101100 => 6
001101101 => 111001100 => 9
001101110 => 100111100 => 6
001101111 => 101111010 => 7
001110000 => 100000110 => 7
001110001 => 101001010 => 5
001110010 => 110000110 => 6
001110011 => 110011100 => 5
001110100 => 100100110 => 7
001110101 => 111000110 => 9
001110110 => 101011010 => 5
001110111 => 110111100 => 9
001111000 => 100001110 => 7
001111001 => 110010110 => 6
001111010 => 101001110 => 7
001111011 => 110110110 => 3
001111100 => 100011110 => 7
001111101 => 110011110 => 6
001111110 => 100111110 => 7
001111111 => 101111110 => 7
010000000 => 100000000 => 9
010000001 => 100001000 => 5
010000010 => 100100000 => 9
010000011 => 100010010 => 7
010000100 => 110000000 => 9
010000101 => 100110000 => 9
010000110 => 101000010 => 7
010000111 => 100100110 => 7
010001000 => 110000000 => 9
010001001 => 101100000 => 9
010001010 => 110010000 => 9
010001011 => 101010100 => 9
010001100 => 110000100 => 9
010001101 => 101100010 => 7
010001110 => 110000110 => 6
010001111 => 101001110 => 7
010010000 => 100100000 => 9
010010001 => 110010000 => 9
010010010 => 111000000 => 9
010010011 => 111000010 => 9
010010100 => 101100000 => 9
010010101 => 111100000 => 9
010010110 => 110011000 => 9
010010111 => 110101010 => 9
010011000 => 100100100 => 3
010011001 => 111001000 => 9
010011010 => 111000010 => 9
010011011 => 111001100 => 9
010011100 => 101001010 => 5
010011101 => 111000110 => 9
010011110 => 110010110 => 6
010011111 => 110011110 => 6
010100000 => 100001000 => 5
010100001 => 100110000 => 9
010100010 => 101100000 => 9
010100011 => 101100010 => 7
010100100 => 110010000 => 9
010100101 => 111100000 => 9
010100110 => 111001000 => 9
010100111 => 111000110 => 9
010101000 => 100110000 => 9
010101001 => 111100000 => 9
010101010 => 111100000 => 9
010101011 => 111110000 => 9
010101100 => 100111000 => 9
010101101 => 111110000 => 9
010101110 => 101110010 => 7
010101111 => 111100110 => 9
010110000 => 100001100 => 6
010110001 => 100111000 => 9
010110010 => 110011000 => 9
010110011 => 111011000 => 9
010110100 => 101010100 => 9
010110101 => 111110000 => 9
010110110 => 101111000 => 9
010110111 => 111101100 => 9
010111000 => 100011010 => 7
010111001 => 101110010 => 7
010111010 => 110101010 => 9
010111011 => 111110010 => 9
010111100 => 100110110 => 7
010111101 => 111100110 => 9
010111110 => 101101110 => 7
010111111 => 111011110 => 5
011000000 => 100000010 => 7
011000001 => 100001100 => 6
011000010 => 100100100 => 3
011000011 => 100101100 => 6
011000100 => 110000100 => 9
011000101 => 100111000 => 9
011000110 => 110001100 => 5
011000111 => 101011010 => 5
011001000 => 101000010 => 7
011001001 => 110011000 => 9
011001010 => 111001000 => 9
011001011 => 101111000 => 9
011001100 => 110001100 => 5
011001101 => 111011000 => 9
011001110 => 110011100 => 5
011001111 => 110110110 => 3
011010000 => 100010010 => 7
011010001 => 101010100 => 9
011010010 => 111000010 => 9
011010011 => 111001100 => 9
011010100 => 101100010 => 7
011010101 => 111110000 => 9
011010110 => 111011000 => 9
011010111 => 111110010 => 9
011011000 => 100101100 => 6
011011001 => 101111000 => 9
011011010 => 111001100 => 9
011011011 => 111111000 => 9
011011100 => 100111100 => 6
011011101 => 111101100 => 9
011011110 => 101111010 => 7
011011111 => 111110110 => 9
011100000 => 100000110 => 7
011100001 => 100011010 => 7
011100010 => 101001010 => 5
011100011 => 100111100 => 6
011100100 => 110000110 => 6
011100101 => 101110010 => 7
011100110 => 110011100 => 5
011100111 => 110111100 => 9
011101000 => 100100110 => 7
011101001 => 110101010 => 9
011101010 => 111000110 => 9
011101011 => 111101100 => 9
011101100 => 101011010 => 5
011101101 => 111110010 => 9
011101110 => 110111100 => 9
011101111 => 111111100 => 9
011110000 => 100001110 => 7
011110001 => 100110110 => 7
011110010 => 110010110 => 6
011110011 => 101111010 => 7
011110100 => 101001110 => 7
011110101 => 111100110 => 9
011110110 => 110110110 => 3
011110111 => 111111100 => 9
011111000 => 100011110 => 7
011111001 => 101101110 => 7
011111010 => 110011110 => 6
011111011 => 111110110 => 9
011111100 => 100111110 => 7
011111101 => 111011110 => 5
011111110 => 101111110 => 7
011111111 => 111111110 => 9
100000000 => 100000000 => 9
100000001 => 100000010 => 7
100000010 => 100001000 => 5
100000011 => 100000110 => 7
100000100 => 100100000 => 9
100000101 => 100001100 => 6
100000110 => 100010010 => 7
100000111 => 100001110 => 7
100001000 => 110000000 => 9
100001001 => 100100100 => 3
100001010 => 100110000 => 9
100001011 => 100011010 => 7
100001100 => 101000010 => 7
100001101 => 100101100 => 6
100001110 => 100100110 => 7
100001111 => 100011110 => 7
100010000 => 110000000 => 9
100010001 => 110000100 => 9
100010010 => 101100000 => 9
100010011 => 101001010 => 5
100010100 => 110010000 => 9
100010101 => 100111000 => 9
100010110 => 101010100 => 9
100010111 => 100110110 => 7
100011000 => 110000100 => 9
100011001 => 110001100 => 5
100011010 => 101100010 => 7
100011011 => 100111100 => 6
100011100 => 110000110 => 6
100011101 => 101011010 => 5
100011110 => 101001110 => 7
100011111 => 100111110 => 7
100100000 => 100100000 => 9
100100001 => 101000010 => 7
100100010 => 110010000 => 9
100100011 => 110000110 => 6
100100100 => 111000000 => 9
100100101 => 110011000 => 9
100100110 => 111000010 => 9
100100111 => 110010110 => 6
100101000 => 101100000 => 9
100101001 => 111001000 => 9
100101010 => 111100000 => 9
100101011 => 101110010 => 7
100101100 => 110011000 => 9
100101101 => 101111000 => 9
100101110 => 110101010 => 9
100101111 => 101101110 => 7
100110000 => 100100100 => 3
100110001 => 110001100 => 5
100110010 => 111001000 => 9
100110011 => 110011100 => 5
100110100 => 111000010 => 9
100110101 => 111011000 => 9
100110110 => 111001100 => 9
100110111 => 101111010 => 7
100111000 => 101001010 => 5
100111001 => 110011100 => 5
100111010 => 111000110 => 9
100111011 => 110111100 => 9
100111100 => 110010110 => 6
100111101 => 110110110 => 3
100111110 => 110011110 => 6
100111111 => 101111110 => 7
101000000 => 100001000 => 5
101000001 => 100010010 => 7
101000010 => 100110000 => 9
101000011 => 100100110 => 7
101000100 => 101100000 => 9
101000101 => 101010100 => 9
101000110 => 101100010 => 7
101000111 => 101001110 => 7
101001000 => 110010000 => 9
101001001 => 111000010 => 9
101001010 => 111100000 => 9
101001011 => 110101010 => 9
101001100 => 111001000 => 9
101001101 => 111001100 => 9
101001110 => 111000110 => 9
101001111 => 110011110 => 6
101010000 => 100110000 => 9
101010001 => 101100010 => 7
101010010 => 111100000 => 9
101010011 => 111000110 => 9
101010100 => 111100000 => 9
101010101 => 111110000 => 9
101010110 => 111110000 => 9
101010111 => 111100110 => 9
101011000 => 100111000 => 9
101011001 => 111011000 => 9
101011010 => 111110000 => 9
101011011 => 111101100 => 9
101011100 => 101110010 => 7
101011101 => 111110010 => 9
101011110 => 111100110 => 9
101011111 => 111011110 => 5
101100000 => 100001100 => 6
101100001 => 100101100 => 6
101100010 => 100111000 => 9
101100011 => 101011010 => 5
101100100 => 110011000 => 9
101100101 => 101111000 => 9
101100110 => 111011000 => 9
101100111 => 110110110 => 3
101101000 => 101010100 => 9
101101001 => 111001100 => 9
101101010 => 111110000 => 9
101101011 => 111110010 => 9
101101100 => 101111000 => 9
101101101 => 111111000 => 9
101101110 => 111101100 => 9
101101111 => 111110110 => 9
101110000 => 100011010 => 7
101110001 => 100111100 => 6
101110010 => 101110010 => 7
101110011 => 110111100 => 9
101110100 => 110101010 => 9
101110101 => 111101100 => 9
101110110 => 111110010 => 9
101110111 => 111111100 => 9
101111000 => 100110110 => 7
101111001 => 101111010 => 7
101111010 => 111100110 => 9
101111011 => 111111100 => 9
101111100 => 101101110 => 7
101111101 => 111110110 => 9
101111110 => 111011110 => 5
101111111 => 111111110 => 9
110000000 => 100000010 => 7
110000001 => 100000110 => 7
110000010 => 100001100 => 6
110000011 => 100001110 => 7
110000100 => 100100100 => 3
110000101 => 100011010 => 7
110000110 => 100101100 => 6
110000111 => 100011110 => 7
110001000 => 110000100 => 9
110001001 => 101001010 => 5
110001010 => 100111000 => 9
110001011 => 100110110 => 7
110001100 => 110001100 => 5
110001101 => 100111100 => 6
110001110 => 101011010 => 5
110001111 => 100111110 => 7
110010000 => 101000010 => 7
110010001 => 110000110 => 6
110010010 => 110011000 => 9
110010011 => 110010110 => 6
110010100 => 111001000 => 9
110010101 => 101110010 => 7
110010110 => 101111000 => 9
110010111 => 101101110 => 7
110011000 => 110001100 => 5
110011001 => 110011100 => 5
110011010 => 111011000 => 9
110011011 => 101111010 => 7
110011100 => 110011100 => 5
110011101 => 110111100 => 9
110011110 => 110110110 => 3
110011111 => 101111110 => 7
110100000 => 100010010 => 7
110100001 => 100100110 => 7
110100010 => 101010100 => 9
110100011 => 101001110 => 7
110100100 => 111000010 => 9
110100101 => 110101010 => 9
110100110 => 111001100 => 9
110100111 => 110011110 => 6
110101000 => 101100010 => 7
110101001 => 111000110 => 9
110101010 => 111110000 => 9
110101011 => 111100110 => 9
110101100 => 111011000 => 9
110101101 => 111101100 => 9
110101110 => 111110010 => 9
110101111 => 111011110 => 5
110110000 => 100101100 => 6
110110001 => 101011010 => 5
110110010 => 101111000 => 9
110110011 => 110110110 => 3
110110100 => 111001100 => 9
110110101 => 111110010 => 9
110110110 => 111111000 => 9
110110111 => 111110110 => 9
110111000 => 100111100 => 6
110111001 => 110111100 => 9
110111010 => 111101100 => 9
110111011 => 111111100 => 9
110111100 => 101111010 => 7
110111101 => 111111100 => 9
110111110 => 111110110 => 9
110111111 => 111111110 => 9
111000000 => 100000110 => 7
111000001 => 100001110 => 7
111000010 => 100011010 => 7
111000011 => 100011110 => 7
111000100 => 101001010 => 5
111000101 => 100110110 => 7
111000110 => 100111100 => 6
111000111 => 100111110 => 7
111001000 => 110000110 => 6
111001001 => 110010110 => 6
111001010 => 101110010 => 7
111001011 => 101101110 => 7
111001100 => 110011100 => 5
111001101 => 101111010 => 7
111001110 => 110111100 => 9
111001111 => 101111110 => 7
111010000 => 100100110 => 7
111010001 => 101001110 => 7
111010010 => 110101010 => 9
111010011 => 110011110 => 6
111010100 => 111000110 => 9
111010101 => 111100110 => 9
111010110 => 111101100 => 9
111010111 => 111011110 => 5
111011000 => 101011010 => 5
111011001 => 110110110 => 3
111011010 => 111110010 => 9
111011011 => 111110110 => 9
111011100 => 110111100 => 9
111011101 => 111111100 => 9
111011110 => 111111100 => 9
111011111 => 111111110 => 9
111100000 => 100001110 => 7
111100001 => 100011110 => 7
111100010 => 100110110 => 7
111100011 => 100111110 => 7
111100100 => 110010110 => 6
111100101 => 101101110 => 7
111100110 => 101111010 => 7
111100111 => 101111110 => 7
111101000 => 101001110 => 7
111101001 => 110011110 => 6
111101010 => 111100110 => 9
111101011 => 111011110 => 5
111101100 => 110110110 => 3
111101101 => 111110110 => 9
111101110 => 111111100 => 9
111101111 => 111111110 => 9
111110000 => 100011110 => 7
111110001 => 100111110 => 7
111110010 => 101101110 => 7
111110011 => 101111110 => 7
111110100 => 110011110 => 6
111110101 => 111011110 => 5
111110110 => 111110110 => 9
111110111 => 111111110 => 9
111111000 => 100111110 => 7
111111001 => 101111110 => 7
111111010 => 111011110 => 5
111111011 => 111111110 => 9
111111100 => 101111110 => 7
111111101 => 111111110 => 9
111111110 => 111111110 => 9
111111111 => 111111111 => 1
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
2,2 2,0,6 2,4,0,10 2,0,10,0,20 2,0,0,18,0,44 2,0,0,14,42,0,70 2,0,16,20,16,56,0,146 2,0,18,0,54,54,144,0,240
$F_{1} = 2\ q$
$F_{2} = 2\ q + 2\ q^{2}$
$F_{3} = 2\ q + 6\ q^{3}$
$F_{4} = 2\ q + 4\ q^{2} + 10\ q^{4}$
$F_{5} = 2\ q + 10\ q^{3} + 20\ q^{5}$
$F_{6} = 2\ q + 18\ q^{4} + 44\ q^{6}$
$F_{7} = 2\ q + 14\ q^{4} + 42\ q^{5} + 70\ q^{7}$
$F_{8} = 2\ q + 16\ q^{3} + 20\ q^{4} + 16\ q^{5} + 56\ q^{6} + 146\ q^{8}$
$F_{9} = 2\ q + 18\ q^{3} + 54\ q^{5} + 54\ q^{6} + 144\ q^{7} + 240\ q^{9}$
Description
The minimal period of a binary word.
This is the smallest natural number $p$ such that $w_i=w_{i+p}$ for all $i\in\{1,\dots,|w|-p\}$.
This is the smallest natural number $p$ such that $w_i=w_{i+p}$ for all $i\in\{1,\dots,|w|-p\}$.
Map
Burrows-Wheeler
Description
The Burrows-Wheeler transform of a binary word.
The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order.
The Burrows-Wheeler transform of a finite word $w$ is obtained from $w$ by first listing the conjugates of $w$ in lexicographic order and then concatenating the final letters of the conjugates in this order.
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