Identifier
- St000294: Binary words ⟶ ℤ
Values
=>
0=>2
1=>2
00=>3
01=>4
10=>4
11=>3
000=>4
001=>6
010=>6
011=>6
100=>6
101=>6
110=>6
111=>4
0000=>5
0001=>8
0010=>9
0011=>9
0100=>9
0101=>8
0110=>9
0111=>8
1000=>8
1001=>9
1010=>8
1011=>9
1100=>9
1101=>9
1110=>8
1111=>5
00000=>6
00001=>10
00010=>12
00011=>12
00100=>12
00101=>12
00110=>13
00111=>12
01000=>12
01001=>12
01010=>10
01011=>12
01100=>13
01101=>12
01110=>12
01111=>10
10000=>10
10001=>12
10010=>12
10011=>13
10100=>12
10101=>10
10110=>12
10111=>12
11000=>12
11001=>13
11010=>12
11011=>12
11100=>12
11101=>12
11110=>10
11111=>6
000000=>7
000001=>12
000010=>15
000011=>15
000100=>16
000101=>16
000110=>17
000111=>16
001000=>16
001001=>15
001010=>15
001011=>17
001100=>17
001101=>17
001110=>17
001111=>15
010000=>15
010001=>16
010010=>15
010011=>17
010100=>15
010101=>12
010110=>16
010111=>16
011000=>17
011001=>17
011010=>16
011011=>15
011100=>17
011101=>16
011110=>15
011111=>12
100000=>12
100001=>15
100010=>16
100011=>17
100100=>15
100101=>16
100110=>17
100111=>17
101000=>16
101001=>16
101010=>12
101011=>15
101100=>17
101101=>15
101110=>16
101111=>15
110000=>15
110001=>17
110010=>17
110011=>17
110100=>17
110101=>15
110110=>15
110111=>16
111000=>16
111001=>17
111010=>16
111011=>16
111100=>15
111101=>15
111110=>12
111111=>7
0000000=>8
0000001=>14
0000010=>18
0000011=>18
0000100=>20
0000101=>20
0000110=>21
0000111=>20
0001000=>20
0001001=>20
0001010=>20
0001011=>22
0001100=>22
0001101=>22
0001110=>22
0001111=>20
0010000=>20
0010001=>20
0010010=>18
0010011=>21
0010100=>20
0010101=>18
0010110=>22
0010111=>22
0011000=>22
0011001=>21
0011010=>22
0011011=>21
0011100=>22
0011101=>22
0011110=>21
0011111=>18
0100000=>18
0100001=>20
0100010=>20
0100011=>22
0100100=>18
0100101=>20
0100110=>22
0100111=>22
0101000=>20
0101001=>20
0101010=>14
0101011=>18
0101100=>22
0101101=>20
0101110=>21
0101111=>20
0110000=>21
0110001=>22
0110010=>22
0110011=>21
0110100=>22
0110101=>20
0110110=>18
0110111=>20
0111000=>22
0111001=>22
0111010=>21
0111011=>20
0111100=>21
0111101=>20
0111110=>18
0111111=>14
1000000=>14
1000001=>18
1000010=>20
1000011=>21
1000100=>20
1000101=>21
1000110=>22
1000111=>22
1001000=>20
1001001=>18
1001010=>20
1001011=>22
1001100=>21
1001101=>22
1001110=>22
1001111=>21
1010000=>20
1010001=>21
1010010=>20
1010011=>22
1010100=>18
1010101=>14
1010110=>20
1010111=>20
1011000=>22
1011001=>22
1011010=>20
1011011=>18
1011100=>22
1011101=>20
1011110=>20
1011111=>18
1100000=>18
1100001=>21
1100010=>22
1100011=>22
1100100=>21
1100101=>22
1100110=>21
1100111=>22
1101000=>22
1101001=>22
1101010=>18
1101011=>20
1101100=>21
1101101=>18
1101110=>20
1101111=>20
1110000=>20
1110001=>22
1110010=>22
1110011=>22
1110100=>22
1110101=>20
1110110=>20
1110111=>20
1111000=>20
1111001=>21
1111010=>20
1111011=>20
1111100=>18
1111101=>18
1111110=>14
1111111=>8
00000000=>9
00000001=>16
00000010=>21
00000011=>21
00000100=>24
00000101=>24
00000110=>25
00000111=>24
00001000=>25
00001001=>25
00001010=>25
00001011=>27
00001100=>27
00001101=>27
00001110=>27
00001111=>25
00010000=>25
00010001=>24
00010010=>24
00010011=>27
00010100=>26
00010101=>24
00010110=>28
00010111=>28
00011000=>27
00011001=>27
00011010=>28
00011011=>27
00011100=>28
00011101=>28
00011110=>27
00011111=>24
00100000=>24
00100001=>25
00100010=>24
00100011=>27
00100100=>21
00100101=>24
00100110=>27
00100111=>27
00101000=>26
00101001=>25
00101010=>21
00101011=>25
00101100=>28
00101101=>27
00101110=>28
00101111=>27
00110000=>27
00110001=>27
00110010=>27
00110011=>25
00110100=>28
00110101=>27
00110110=>25
00110111=>27
00111000=>28
00111001=>27
00111010=>28
00111011=>27
00111100=>27
00111101=>27
00111110=>25
00111111=>21
01000000=>21
01000001=>24
01000010=>25
01000011=>27
01000100=>24
01000101=>26
01000110=>28
01000111=>28
01001000=>24
01001001=>21
01001010=>25
01001011=>27
01001100=>27
01001101=>28
01001110=>28
01001111=>27
01010000=>25
01010001=>26
01010010=>25
01010011=>27
01010100=>21
01010101=>16
01010110=>24
01010111=>24
01011000=>28
01011001=>28
01011010=>25
01011011=>24
01011100=>28
01011101=>26
01011110=>26
01011111=>24
01100000=>25
01100001=>27
01100010=>28
01100011=>27
01100100=>27
01100101=>28
01100110=>25
01100111=>27
01101000=>28
01101001=>28
01101010=>24
01101011=>25
01101100=>25
01101101=>21
01101110=>25
01101111=>25
01110000=>27
01110001=>28
01110010=>28
01110011=>27
01110100=>28
01110101=>26
01110110=>25
01110111=>24
01111000=>27
01111001=>27
01111010=>26
01111011=>25
01111100=>25
01111101=>24
01111110=>21
01111111=>16
10000000=>16
10000001=>21
10000010=>24
10000011=>25
10000100=>25
10000101=>26
10000110=>27
10000111=>27
10001000=>24
10001001=>25
10001010=>26
10001011=>28
10001100=>27
10001101=>28
10001110=>28
10001111=>27
10010000=>25
10010001=>25
10010010=>21
10010011=>25
10010100=>25
10010101=>24
10010110=>28
10010111=>28
10011000=>27
10011001=>25
10011010=>28
10011011=>27
10011100=>27
10011101=>28
10011110=>27
10011111=>25
10100000=>24
10100001=>26
10100010=>26
10100011=>28
10100100=>24
10100101=>25
10100110=>28
10100111=>28
10101000=>24
10101001=>24
10101010=>16
10101011=>21
10101100=>27
10101101=>25
10101110=>26
10101111=>25
10110000=>27
10110001=>28
10110010=>28
10110011=>27
10110100=>27
10110101=>25
10110110=>21
10110111=>24
10111000=>28
10111001=>28
10111010=>26
10111011=>24
10111100=>27
10111101=>25
10111110=>24
10111111=>21
11000000=>21
11000001=>25
11000010=>27
11000011=>27
11000100=>27
11000101=>28
11000110=>27
11000111=>28
11001000=>27
11001001=>25
11001010=>27
11001011=>28
11001100=>25
11001101=>27
11001110=>27
11001111=>27
11010000=>27
11010001=>28
11010010=>27
11010011=>28
11010100=>25
11010101=>21
11010110=>25
11010111=>26
11011000=>27
11011001=>27
11011010=>24
11011011=>21
11011100=>27
11011101=>24
11011110=>25
11011111=>24
11100000=>24
11100001=>27
11100010=>28
11100011=>28
11100100=>27
11100101=>28
11100110=>27
11100111=>27
11101000=>28
11101001=>28
11101010=>24
11101011=>26
11101100=>27
11101101=>24
11101110=>24
11101111=>25
11110000=>25
11110001=>27
11110010=>27
11110011=>27
11110100=>27
11110101=>25
11110110=>25
11110111=>25
11111000=>24
11111001=>25
11111010=>24
11111011=>24
11111100=>21
11111101=>21
11111110=>16
11111111=>9
000000000=>10
000000001=>18
000000010=>24
000000011=>24
000000100=>28
000000101=>28
000000110=>29
000000111=>28
000001000=>30
000001001=>30
000001010=>30
000001011=>32
000001100=>32
000001101=>32
000001110=>32
000001111=>30
000010000=>30
000010001=>30
000010010=>30
000010011=>33
000010100=>32
000010101=>30
000010110=>34
000010111=>34
000011000=>33
000011001=>33
000011010=>34
000011011=>33
000011100=>34
000011101=>34
000011110=>33
000011111=>30
000100000=>30
000100001=>30
000100010=>28
000100011=>32
000100100=>28
000100101=>31
000100110=>34
000100111=>34
000101000=>32
000101001=>32
000101010=>28
000101011=>32
000101100=>35
000101101=>34
000101110=>35
000101111=>34
000110000=>33
000110001=>32
000110010=>34
000110011=>32
000110100=>35
000110101=>34
000110110=>32
000110111=>34
000111000=>34
000111001=>34
000111010=>35
000111011=>34
000111100=>34
000111101=>34
000111110=>32
000111111=>28
001000000=>28
001000001=>30
001000010=>30
001000011=>33
001000100=>28
001000101=>31
001000110=>34
001000111=>34
001001000=>28
001001001=>24
001001010=>30
001001011=>32
001001100=>33
001001101=>34
001001110=>34
001001111=>33
001010000=>32
001010001=>32
001010010=>30
001010011=>33
001010100=>28
001010101=>24
001010110=>32
001010111=>32
001011000=>35
001011001=>34
001011010=>33
001011011=>32
001011100=>35
001011101=>34
001011110=>34
001011111=>32
001100000=>32
001100001=>33
001100010=>34
001100011=>32
001100100=>33
001100101=>34
001100110=>29
001100111=>32
001101000=>35
001101001=>34
001101010=>32
001101011=>33
001101100=>32
001101101=>29
001101110=>33
001101111=>33
001110000=>34
001110001=>34
001110010=>34
001110011=>32
001110100=>35
001110101=>34
001110110=>33
001110111=>32
001111000=>34
001111001=>33
001111010=>34
001111011=>33
001111100=>32
001111101=>32
001111110=>29
001111111=>24
010000000=>24
010000001=>28
010000010=>30
010000011=>32
010000100=>30
010000101=>32
010000110=>34
010000111=>34
010001000=>28
010001001=>30
010001010=>32
010001011=>34
010001100=>34
010001101=>35
010001110=>35
010001111=>34
010010000=>30
010010001=>30
010010010=>24
010010011=>29
010010100=>30
010010101=>30
010010110=>34
010010111=>34
010011000=>34
010011001=>32
010011010=>34
010011011=>34
010011100=>34
010011101=>35
010011110=>34
010011111=>32
010100000=>30
010100001=>32
010100010=>32
010100011=>34
010100100=>30
010100101=>30
010100110=>34
010100111=>34
010101000=>28
010101001=>28
010101010=>18
010101011=>24
010101100=>32
010101101=>30
010101110=>31
010101111=>30
010110000=>34
010110001=>35
010110010=>34
010110011=>34
010110100=>33
010110101=>30
010110110=>28
010110111=>31
010111000=>35
010111001=>35
010111010=>32
010111011=>31
010111100=>34
010111101=>32
010111110=>31
010111111=>28
011000000=>29
011000001=>32
011000010=>34
011000011=>33
011000100=>34
011000101=>35
011000110=>32
011000111=>34
011001000=>34
011001001=>32
011001010=>34
011001011=>34
011001100=>29
011001101=>32
011001110=>33
011001111=>33
011010000=>34
011010001=>35
011010010=>34
011010011=>34
011010100=>32
011010101=>28
011010110=>30
011010111=>32
011011000=>32
011011001=>32
011011010=>28
011011011=>24
011011100=>33
011011101=>30
011011110=>31
011011111=>30
011100000=>32
011100001=>34
011100010=>35
011100011=>34
011100100=>34
011100101=>35
011100110=>33
011100111=>32
011101000=>35
011101001=>35
011101010=>31
011101011=>32
011101100=>33
011101101=>30
011101110=>28
011101111=>30
011110000=>33
011110001=>34
011110010=>34
011110011=>33
011110100=>34
011110101=>32
011110110=>31
011110111=>30
011111000=>32
011111001=>32
011111010=>31
011111011=>30
011111100=>29
011111101=>28
011111110=>24
011111111=>18
100000000=>18
100000001=>24
100000010=>28
100000011=>29
100000100=>30
100000101=>31
100000110=>32
100000111=>32
100001000=>30
100001001=>31
100001010=>32
100001011=>34
100001100=>33
100001101=>34
100001110=>34
100001111=>33
100010000=>30
100010001=>28
100010010=>30
100010011=>33
100010100=>32
100010101=>31
100010110=>35
100010111=>35
100011000=>32
100011001=>33
100011010=>35
100011011=>34
100011100=>34
100011101=>35
100011110=>34
100011111=>32
100100000=>30
100100001=>31
100100010=>30
100100011=>33
100100100=>24
100100101=>28
100100110=>32
100100111=>32
100101000=>32
100101001=>30
100101010=>28
100101011=>32
100101100=>34
100101101=>34
100101110=>35
100101111=>34
100110000=>33
100110001=>33
100110010=>32
100110011=>29
100110100=>34
100110101=>34
100110110=>32
100110111=>34
100111000=>34
100111001=>32
100111010=>35
100111011=>34
100111100=>33
100111101=>34
100111110=>32
100111111=>29
101000000=>28
101000001=>31
101000010=>32
101000011=>34
101000100=>31
101000101=>32
101000110=>35
101000111=>35
101001000=>31
101001001=>28
101001010=>30
101001011=>33
101001100=>34
101001101=>34
101001110=>35
101001111=>34
101010000=>30
101010001=>31
101010010=>30
101010011=>32
101010100=>24
101010101=>18
101010110=>28
101010111=>28
101011000=>34
101011001=>34
101011010=>30
101011011=>30
101011100=>34
101011101=>32
101011110=>32
101011111=>30
101100000=>32
101100001=>34
101100010=>35
101100011=>34
101100100=>34
101100101=>34
101100110=>32
101100111=>34
101101000=>34
101101001=>34
101101010=>30
101101011=>30
101101100=>29
101101101=>24
101101110=>30
101101111=>30
101110000=>34
101110001=>35
101110010=>35
101110011=>34
101110100=>34
101110101=>32
101110110=>30
101110111=>28
101111000=>34
101111001=>34
101111010=>32
101111011=>30
101111100=>32
101111101=>30
101111110=>28
101111111=>24
110000000=>24
110000001=>29
110000010=>32
110000011=>32
110000100=>33
110000101=>34
110000110=>33
110000111=>34
110001000=>32
110001001=>33
110001010=>34
110001011=>35
110001100=>32
110001101=>34
110001110=>34
110001111=>34
110010000=>33
110010001=>33
110010010=>29
110010011=>32
110010100=>33
110010101=>32
110010110=>34
110010111=>35
110011000=>32
110011001=>29
110011010=>34
110011011=>33
110011100=>32
110011101=>34
110011110=>33
110011111=>32
110100000=>32
110100001=>34
110100010=>34
110100011=>35
110100100=>32
110100101=>33
110100110=>34
110100111=>35
110101000=>32
110101001=>32
110101010=>24
110101011=>28
110101100=>33
110101101=>30
110101110=>32
110101111=>32
110110000=>33
110110001=>34
110110010=>34
110110011=>33
110110100=>32
110110101=>30
110110110=>24
110110111=>28
110111000=>34
110111001=>34
110111010=>31
110111011=>28
110111100=>33
110111101=>30
110111110=>30
110111111=>28
111000000=>28
111000001=>32
111000010=>34
111000011=>34
111000100=>34
111000101=>35
111000110=>34
111000111=>34
111001000=>34
111001001=>32
111001010=>34
111001011=>35
111001100=>32
111001101=>34
111001110=>32
111001111=>33
111010000=>34
111010001=>35
111010010=>34
111010011=>35
111010100=>32
111010101=>28
111010110=>32
111010111=>32
111011000=>34
111011001=>34
111011010=>31
111011011=>28
111011100=>32
111011101=>28
111011110=>30
111011111=>30
111100000=>30
111100001=>33
111100010=>34
111100011=>34
111100100=>33
111100101=>34
111100110=>33
111100111=>33
111101000=>34
111101001=>34
111101010=>30
111101011=>32
111101100=>33
111101101=>30
111101110=>30
111101111=>30
111110000=>30
111110001=>32
111110010=>32
111110011=>32
111110100=>32
111110101=>30
111110110=>30
111110111=>30
111111000=>28
111111001=>29
111111010=>28
111111011=>28
111111100=>24
111111101=>24
111111110=>18
111111111=>10
0000000001=>20
0010000001=>35
0010101101=>39
0010101011=>33
0010100111=>41
0010011101=>42
0010011011=>41
0010010111=>40
0010001111=>41
0001110101=>42
0001110011=>40
0001101101=>37
0001101011=>41
0001100111=>40
0001011101=>42
0001011011=>40
0001010111=>40
0001001111=>41
0000111101=>41
0000111011=>41
0000110111=>41
0000101111=>41
0000011111=>36
0000000000=>11
0000000110=>33
0000011000=>39
0000011110=>39
0000010010=>36
0001100000=>39
0001100110=>37
0001111000=>41
0001111110=>37
0001110010=>42
0001001000=>35
0001001110=>42
0001000010=>35
0001011010=>41
0010101010=>27
0010101000=>36
0010101100=>40
0010100100=>36
0010010100=>36
0001010100=>36
0010101110=>40
0010100000=>38
0010000100=>35
0000010100=>38
0000000010=>27
0000001110=>37
0000111110=>39
0000000100=>32
0000001010=>35
0000010110=>40
0000101110=>42
0001011110=>42
0001101110=>41
0001110110=>41
0001111010=>42
0001111100=>40
0000000101=>32
0000001101=>37
0000011101=>40
0001111101=>40
0000001001=>35
0000010101=>36
0000101101=>41
0010110001=>42
0001100001=>39
0001000001=>36
0000111111=>35
0001110100=>43
0001101100=>40
0010011100=>41
0001011100=>43
0000111100=>41
0001101010=>40
0010011010=>41
0000111010=>42
0010100110=>41
0010010110=>40
0001010110=>40
0000110110=>39
0010001110=>42
0001101001=>42
0000110001=>39
0000010001=>36
0000001100=>37
0000011001=>39
0000110011=>39
0000110100=>42
0000000011=>27
0000011011=>39
0001101111=>41
0000110101=>41
0010000010=>36
0001000011=>39
0010011110=>41
0001010000=>39
0001000100=>32
0001010101=>32
0001001011=>40
0001100011=>37
0001110111=>40
0010000000=>32
0000000111=>32
0000001111=>35
0001111111=>32
0000001011=>37
0000010111=>40
0001011111=>40
0001111001=>41
0000011010=>40
0000101010=>35
0000100101=>38
0010010001=>35
0010000101=>38
0010010101=>36
0010010011=>33
0000101011=>39
0001000111=>40
0000100111=>41
0010010010=>27
0001001010=>38
0001001001=>32
0001000101=>36
0000100011=>39
0000100100=>35
0000100010=>35
0010110000=>42
0000011100=>40
0000001000=>35
0000101100=>42
0010101111=>39
0000101000=>39
0010001000=>32
0001001100=>41
0001000110=>40
0001100100=>41
0001100010=>40
0000100110=>41
0000110010=>41
0010010000=>35
0001010010=>38
0001000000=>35
0001011001=>42
0001100101=>42
0001110001=>40
0010011001=>39
0010100101=>35
0010101001=>35
0010011111=>39
0000111001=>41
0010001101=>42
0001001101=>42
0001010001=>38
0001010011=>41
0001111011=>41
0010011000=>41
0001011000=>42
0000100000=>36
0010001011=>40
0010000111=>41
0000010011=>39
0010001100=>41
0010000110=>41
0000110000=>39
0000100001=>35
0010100011=>41
0010100001=>39
0000111000=>41
0001101000=>42
0000010000=>36
0000101001=>39
0010100010=>38
0010001001=>35
0010000011=>39
0010001010=>38
0001110000=>41
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Description
The number of distinct factors of a binary word.
This is also known as the subword complexity of a binary word, see [1].
This is also known as the subword complexity of a binary word, see [1].
References
Code
def statistic(x): return x.number_of_factors()
Created
Nov 19, 2015 at 12:16 by Martin Rubey
Updated
Jun 03, 2016 at 11:21 by Martin Rubey
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