Identifier
Values
0 => 0 => [2] => 1
1 => 1 => [1,1] => 1
00 => 00 => [3] => 1
01 => 01 => [2,1] => 2
10 => 01 => [2,1] => 2
11 => 11 => [1,1,1] => 1
000 => 000 => [4] => 1
001 => 001 => [3,1] => 3
010 => 001 => [3,1] => 3
011 => 011 => [2,1,1] => 3
100 => 001 => [3,1] => 3
101 => 011 => [2,1,1] => 3
110 => 011 => [2,1,1] => 3
111 => 111 => [1,1,1,1] => 1
0000 => 0000 => [5] => 1
0001 => 0001 => [4,1] => 4
0010 => 0001 => [4,1] => 4
0011 => 0011 => [3,1,1] => 6
0100 => 0001 => [4,1] => 4
0101 => 0101 => [2,2,1] => 8
0110 => 0011 => [3,1,1] => 6
0111 => 0111 => [2,1,1,1] => 4
1000 => 0001 => [4,1] => 4
1001 => 0011 => [3,1,1] => 6
1010 => 0011 => [3,1,1] => 6
1011 => 0111 => [2,1,1,1] => 4
1100 => 0011 => [3,1,1] => 6
1101 => 0111 => [2,1,1,1] => 4
1110 => 0111 => [2,1,1,1] => 4
1111 => 1111 => [1,1,1,1,1] => 1
00000 => 00000 => [6] => 1
00001 => 00001 => [5,1] => 5
00010 => 00001 => [5,1] => 5
00011 => 00011 => [4,1,1] => 10
00100 => 00001 => [5,1] => 5
00101 => 00101 => [3,2,1] => 20
00110 => 00011 => [4,1,1] => 10
00111 => 00111 => [3,1,1,1] => 10
01000 => 00001 => [5,1] => 5
01001 => 00101 => [3,2,1] => 20
01010 => 00101 => [3,2,1] => 20
01011 => 01011 => [2,2,1,1] => 15
01100 => 00011 => [4,1,1] => 10
01101 => 01011 => [2,2,1,1] => 15
01110 => 00111 => [3,1,1,1] => 10
01111 => 01111 => [2,1,1,1,1] => 5
10000 => 00001 => [5,1] => 5
10001 => 00011 => [4,1,1] => 10
10010 => 00011 => [4,1,1] => 10
10011 => 00111 => [3,1,1,1] => 10
10100 => 00011 => [4,1,1] => 10
10101 => 01011 => [2,2,1,1] => 15
10110 => 00111 => [3,1,1,1] => 10
10111 => 01111 => [2,1,1,1,1] => 5
11000 => 00011 => [4,1,1] => 10
11001 => 00111 => [3,1,1,1] => 10
11010 => 00111 => [3,1,1,1] => 10
11011 => 01111 => [2,1,1,1,1] => 5
11100 => 00111 => [3,1,1,1] => 10
11101 => 01111 => [2,1,1,1,1] => 5
11110 => 01111 => [2,1,1,1,1] => 5
11111 => 11111 => [1,1,1,1,1,1] => 1
000000 => 000000 => [7] => 1
000001 => 000001 => [6,1] => 6
000010 => 000001 => [6,1] => 6
000011 => 000011 => [5,1,1] => 15
000100 => 000001 => [6,1] => 6
000101 => 000101 => [4,2,1] => 40
000110 => 000011 => [5,1,1] => 15
000111 => 000111 => [4,1,1,1] => 20
001000 => 000001 => [6,1] => 6
001001 => 001001 => [3,3,1] => 45
001010 => 000101 => [4,2,1] => 40
001011 => 001011 => [3,2,1,1] => 45
001100 => 000011 => [5,1,1] => 15
001101 => 001101 => [3,1,2,1] => 30
001110 => 000111 => [4,1,1,1] => 20
001111 => 001111 => [3,1,1,1,1] => 15
010000 => 000001 => [6,1] => 6
010001 => 000101 => [4,2,1] => 40
010010 => 000101 => [4,2,1] => 40
010011 => 001101 => [3,1,2,1] => 30
010100 => 000101 => [4,2,1] => 40
010101 => 010101 => [2,2,2,1] => 48
010110 => 001011 => [3,2,1,1] => 45
010111 => 010111 => [2,2,1,1,1] => 24
011000 => 000011 => [5,1,1] => 15
011001 => 001011 => [3,2,1,1] => 45
011010 => 001011 => [3,2,1,1] => 45
011011 => 011011 => [2,1,2,1,1] => 18
011100 => 000111 => [4,1,1,1] => 20
011101 => 010111 => [2,2,1,1,1] => 24
011110 => 001111 => [3,1,1,1,1] => 15
011111 => 011111 => [2,1,1,1,1,1] => 6
100000 => 000001 => [6,1] => 6
100001 => 000011 => [5,1,1] => 15
100010 => 000011 => [5,1,1] => 15
100011 => 000111 => [4,1,1,1] => 20
100100 => 000011 => [5,1,1] => 15
100101 => 001011 => [3,2,1,1] => 45
100110 => 000111 => [4,1,1,1] => 20
>>> Load all 465 entries. <<<
100111 => 001111 => [3,1,1,1,1] => 15
101000 => 000011 => [5,1,1] => 15
101001 => 001011 => [3,2,1,1] => 45
101010 => 001011 => [3,2,1,1] => 45
101011 => 010111 => [2,2,1,1,1] => 24
101100 => 000111 => [4,1,1,1] => 20
101101 => 010111 => [2,2,1,1,1] => 24
101110 => 001111 => [3,1,1,1,1] => 15
101111 => 011111 => [2,1,1,1,1,1] => 6
110000 => 000011 => [5,1,1] => 15
110001 => 000111 => [4,1,1,1] => 20
110010 => 000111 => [4,1,1,1] => 20
110011 => 001111 => [3,1,1,1,1] => 15
110100 => 000111 => [4,1,1,1] => 20
110101 => 010111 => [2,2,1,1,1] => 24
110110 => 001111 => [3,1,1,1,1] => 15
110111 => 011111 => [2,1,1,1,1,1] => 6
111000 => 000111 => [4,1,1,1] => 20
111001 => 001111 => [3,1,1,1,1] => 15
111010 => 001111 => [3,1,1,1,1] => 15
111011 => 011111 => [2,1,1,1,1,1] => 6
111100 => 001111 => [3,1,1,1,1] => 15
111101 => 011111 => [2,1,1,1,1,1] => 6
111110 => 011111 => [2,1,1,1,1,1] => 6
111111 => 111111 => [1,1,1,1,1,1,1] => 1
0000000 => 0000000 => [8] => 1
0000001 => 0000001 => [7,1] => 7
0000010 => 0000001 => [7,1] => 7
0000011 => 0000011 => [6,1,1] => 21
0000100 => 0000001 => [7,1] => 7
0000101 => 0000101 => [5,2,1] => 70
0000110 => 0000011 => [6,1,1] => 21
0000111 => 0000111 => [5,1,1,1] => 35
0001000 => 0000001 => [7,1] => 7
0001001 => 0001001 => [4,3,1] => 105
0001010 => 0000101 => [5,2,1] => 70
0001011 => 0001011 => [4,2,1,1] => 105
0001100 => 0000011 => [6,1,1] => 21
0001101 => 0001101 => [4,1,2,1] => 70
0001110 => 0000111 => [5,1,1,1] => 35
0001111 => 0001111 => [4,1,1,1,1] => 35
0010000 => 0000001 => [7,1] => 7
0010001 => 0001001 => [4,3,1] => 105
0010010 => 0001001 => [4,3,1] => 105
0010011 => 0010011 => [3,3,1,1] => 126
0010100 => 0000101 => [5,2,1] => 70
0010101 => 0010101 => [3,2,2,1] => 168
0010110 => 0001011 => [4,2,1,1] => 105
0010111 => 0010111 => [3,2,1,1,1] => 84
0011000 => 0000011 => [6,1,1] => 21
0011001 => 0010011 => [3,3,1,1] => 126
0011010 => 0001101 => [4,1,2,1] => 70
0011011 => 0011011 => [3,1,2,1,1] => 63
0011100 => 0000111 => [5,1,1,1] => 35
0011110 => 0001111 => [4,1,1,1,1] => 35
0011111 => 0011111 => [3,1,1,1,1,1] => 21
0100000 => 0000001 => [7,1] => 7
0100001 => 0000101 => [5,2,1] => 70
0100010 => 0000101 => [5,2,1] => 70
0100011 => 0001101 => [4,1,2,1] => 70
0100100 => 0000101 => [5,2,1] => 70
0100101 => 0010101 => [3,2,2,1] => 168
0100110 => 0001101 => [4,1,2,1] => 70
0101000 => 0000101 => [5,2,1] => 70
0101001 => 0010101 => [3,2,2,1] => 168
0101010 => 0010101 => [3,2,2,1] => 168
0101011 => 0101011 => [2,2,2,1,1] => 105
0101100 => 0001011 => [4,2,1,1] => 105
0101101 => 0101011 => [2,2,2,1,1] => 105
0101110 => 0010111 => [3,2,1,1,1] => 84
0101111 => 0101111 => [2,2,1,1,1,1] => 35
0110000 => 0000011 => [6,1,1] => 21
0110001 => 0001011 => [4,2,1,1] => 105
0110010 => 0001011 => [4,2,1,1] => 105
0110011 => 0011011 => [3,1,2,1,1] => 63
0110100 => 0001011 => [4,2,1,1] => 105
0110101 => 0101011 => [2,2,2,1,1] => 105
0110110 => 0011011 => [3,1,2,1,1] => 63
0110111 => 0110111 => [2,1,2,1,1,1] => 28
0111000 => 0000111 => [5,1,1,1] => 35
0111001 => 0010111 => [3,2,1,1,1] => 84
0111010 => 0010111 => [3,2,1,1,1] => 84
0111011 => 0110111 => [2,1,2,1,1,1] => 28
0111100 => 0001111 => [4,1,1,1,1] => 35
0111101 => 0101111 => [2,2,1,1,1,1] => 35
0111110 => 0011111 => [3,1,1,1,1,1] => 21
0111111 => 0111111 => [2,1,1,1,1,1,1] => 7
1000000 => 0000001 => [7,1] => 7
1000001 => 0000011 => [6,1,1] => 21
1000010 => 0000011 => [6,1,1] => 21
1000011 => 0000111 => [5,1,1,1] => 35
1000100 => 0000011 => [6,1,1] => 21
1000101 => 0001011 => [4,2,1,1] => 105
1000110 => 0000111 => [5,1,1,1] => 35
1000111 => 0001111 => [4,1,1,1,1] => 35
1001000 => 0000011 => [6,1,1] => 21
1001001 => 0010011 => [3,3,1,1] => 126
1001010 => 0001011 => [4,2,1,1] => 105
1001011 => 0010111 => [3,2,1,1,1] => 84
1001100 => 0000111 => [5,1,1,1] => 35
1001101 => 0011011 => [3,1,2,1,1] => 63
1001110 => 0001111 => [4,1,1,1,1] => 35
1001111 => 0011111 => [3,1,1,1,1,1] => 21
1010000 => 0000011 => [6,1,1] => 21
1010001 => 0001011 => [4,2,1,1] => 105
1010010 => 0001011 => [4,2,1,1] => 105
1010011 => 0011011 => [3,1,2,1,1] => 63
1010100 => 0001011 => [4,2,1,1] => 105
1010101 => 0101011 => [2,2,2,1,1] => 105
1010110 => 0010111 => [3,2,1,1,1] => 84
1010111 => 0101111 => [2,2,1,1,1,1] => 35
1011000 => 0000111 => [5,1,1,1] => 35
1011001 => 0010111 => [3,2,1,1,1] => 84
1011010 => 0010111 => [3,2,1,1,1] => 84
1011011 => 0110111 => [2,1,2,1,1,1] => 28
1011100 => 0001111 => [4,1,1,1,1] => 35
1011101 => 0101111 => [2,2,1,1,1,1] => 35
1011110 => 0011111 => [3,1,1,1,1,1] => 21
1011111 => 0111111 => [2,1,1,1,1,1,1] => 7
1100000 => 0000011 => [6,1,1] => 21
1100001 => 0000111 => [5,1,1,1] => 35
1100010 => 0000111 => [5,1,1,1] => 35
1100011 => 0001111 => [4,1,1,1,1] => 35
1100100 => 0000111 => [5,1,1,1] => 35
1100101 => 0010111 => [3,2,1,1,1] => 84
1100110 => 0001111 => [4,1,1,1,1] => 35
1100111 => 0011111 => [3,1,1,1,1,1] => 21
1101000 => 0000111 => [5,1,1,1] => 35
1101001 => 0010111 => [3,2,1,1,1] => 84
1101010 => 0010111 => [3,2,1,1,1] => 84
1101011 => 0101111 => [2,2,1,1,1,1] => 35
1101100 => 0001111 => [4,1,1,1,1] => 35
1101101 => 0101111 => [2,2,1,1,1,1] => 35
1101110 => 0011111 => [3,1,1,1,1,1] => 21
1101111 => 0111111 => [2,1,1,1,1,1,1] => 7
1110000 => 0000111 => [5,1,1,1] => 35
1110001 => 0001111 => [4,1,1,1,1] => 35
1110010 => 0001111 => [4,1,1,1,1] => 35
1110011 => 0011111 => [3,1,1,1,1,1] => 21
1110100 => 0001111 => [4,1,1,1,1] => 35
1110101 => 0101111 => [2,2,1,1,1,1] => 35
1110110 => 0011111 => [3,1,1,1,1,1] => 21
1110111 => 0111111 => [2,1,1,1,1,1,1] => 7
1111000 => 0001111 => [4,1,1,1,1] => 35
1111001 => 0011111 => [3,1,1,1,1,1] => 21
1111010 => 0011111 => [3,1,1,1,1,1] => 21
1111011 => 0111111 => [2,1,1,1,1,1,1] => 7
1111100 => 0011111 => [3,1,1,1,1,1] => 21
1111101 => 0111111 => [2,1,1,1,1,1,1] => 7
1111110 => 0111111 => [2,1,1,1,1,1,1] => 7
1111111 => 1111111 => [1,1,1,1,1,1,1,1] => 1
00000000 => 00000000 => [9] => 1
00000001 => 00000001 => [8,1] => 8
00000010 => 00000001 => [8,1] => 8
00000011 => 00000011 => [7,1,1] => 28
00000100 => 00000001 => [8,1] => 8
00000101 => 00000101 => [6,2,1] => 112
00000110 => 00000011 => [7,1,1] => 28
00000111 => 00000111 => [6,1,1,1] => 56
00001000 => 00000001 => [8,1] => 8
00001001 => 00001001 => [5,3,1] => 210
00001010 => 00000101 => [6,2,1] => 112
00001011 => 00001011 => [5,2,1,1] => 210
00001100 => 00000011 => [7,1,1] => 28
00001110 => 00000111 => [6,1,1,1] => 56
00001111 => 00001111 => [5,1,1,1,1] => 70
00010000 => 00000001 => [8,1] => 8
00010001 => 00010001 => [4,4,1] => 224
00010010 => 00001001 => [5,3,1] => 210
00010011 => 00010011 => [4,3,1,1] => 336
00010100 => 00000101 => [6,2,1] => 112
00010101 => 00010101 => [4,2,2,1] => 448
00010110 => 00001011 => [5,2,1,1] => 210
00010111 => 00010111 => [4,2,1,1,1] => 224
00011000 => 00000011 => [7,1,1] => 28
00011100 => 00000111 => [6,1,1,1] => 56
00011110 => 00001111 => [5,1,1,1,1] => 70
00011111 => 00011111 => [4,1,1,1,1,1] => 56
00100000 => 00000001 => [8,1] => 8
00100001 => 00001001 => [5,3,1] => 210
00100010 => 00001001 => [5,3,1] => 210
00100100 => 00001001 => [5,3,1] => 210
00100101 => 00100101 => [3,3,2,1] => 560
00100110 => 00010011 => [4,3,1,1] => 336
00100111 => 00100111 => [3,3,1,1,1] => 280
00101000 => 00000101 => [6,2,1] => 112
00101001 => 00100101 => [3,3,2,1] => 560
00101010 => 00010101 => [4,2,2,1] => 448
00101011 => 00101011 => [3,2,2,1,1] => 420
00101100 => 00001011 => [5,2,1,1] => 210
00101101 => 00101011 => [3,2,2,1,1] => 420
00101110 => 00010111 => [4,2,1,1,1] => 224
00101111 => 00101111 => [3,2,1,1,1,1] => 140
00110000 => 00000011 => [7,1,1] => 28
00110001 => 00010011 => [4,3,1,1] => 336
00110010 => 00010011 => [4,3,1,1] => 336
00111000 => 00000111 => [6,1,1,1] => 56
00111001 => 00100111 => [3,3,1,1,1] => 280
00111100 => 00001111 => [5,1,1,1,1] => 70
00111110 => 00011111 => [4,1,1,1,1,1] => 56
00111111 => 00111111 => [3,1,1,1,1,1,1] => 28
01000000 => 00000001 => [8,1] => 8
01000001 => 00000101 => [6,2,1] => 112
01000010 => 00000101 => [6,2,1] => 112
01000100 => 00000101 => [6,2,1] => 112
01000101 => 00010101 => [4,2,2,1] => 448
01001000 => 00000101 => [6,2,1] => 112
01001001 => 00100101 => [3,3,2,1] => 560
01001010 => 00010101 => [4,2,2,1] => 448
01001011 => 00101011 => [3,2,2,1,1] => 420
01010000 => 00000101 => [6,2,1] => 112
01010001 => 00010101 => [4,2,2,1] => 448
01010010 => 00010101 => [4,2,2,1] => 448
01010100 => 00010101 => [4,2,2,1] => 448
01010101 => 01010101 => [2,2,2,2,1] => 384
01010110 => 00101011 => [3,2,2,1,1] => 420
01010111 => 01010111 => [2,2,2,1,1,1] => 192
01011000 => 00001011 => [5,2,1,1] => 210
01011001 => 00101011 => [3,2,2,1,1] => 420
01011010 => 00101011 => [3,2,2,1,1] => 420
01011011 => 01011011 => [2,2,1,2,1,1] => 144
01011100 => 00010111 => [4,2,1,1,1] => 224
01011101 => 01010111 => [2,2,2,1,1,1] => 192
01011110 => 00101111 => [3,2,1,1,1,1] => 140
01011111 => 01011111 => [2,2,1,1,1,1,1] => 48
01100000 => 00000011 => [7,1,1] => 28
01100001 => 00001011 => [5,2,1,1] => 210
01100010 => 00001011 => [5,2,1,1] => 210
01100100 => 00001011 => [5,2,1,1] => 210
01100101 => 00101011 => [3,2,2,1,1] => 420
01101000 => 00001011 => [5,2,1,1] => 210
01101001 => 00101011 => [3,2,2,1,1] => 420
01101010 => 00101011 => [3,2,2,1,1] => 420
01101011 => 01011011 => [2,2,1,2,1,1] => 144
01101101 => 01011011 => [2,2,1,2,1,1] => 144
01110000 => 00000111 => [6,1,1,1] => 56
01110001 => 00010111 => [4,2,1,1,1] => 224
01110010 => 00010111 => [4,2,1,1,1] => 224
01110100 => 00010111 => [4,2,1,1,1] => 224
01110101 => 01010111 => [2,2,2,1,1,1] => 192
01110111 => 01110111 => [2,1,1,2,1,1,1] => 32
01111000 => 00001111 => [5,1,1,1,1] => 70
01111001 => 00101111 => [3,2,1,1,1,1] => 140
01111010 => 00101111 => [3,2,1,1,1,1] => 140
01111100 => 00011111 => [4,1,1,1,1,1] => 56
01111101 => 01011111 => [2,2,1,1,1,1,1] => 48
01111110 => 00111111 => [3,1,1,1,1,1,1] => 28
01111111 => 01111111 => [2,1,1,1,1,1,1,1] => 8
10000000 => 00000001 => [8,1] => 8
10000001 => 00000011 => [7,1,1] => 28
10000010 => 00000011 => [7,1,1] => 28
10000011 => 00000111 => [6,1,1,1] => 56
10000100 => 00000011 => [7,1,1] => 28
10000101 => 00001011 => [5,2,1,1] => 210
10000110 => 00000111 => [6,1,1,1] => 56
10000111 => 00001111 => [5,1,1,1,1] => 70
10001000 => 00000011 => [7,1,1] => 28
10001001 => 00010011 => [4,3,1,1] => 336
10001010 => 00001011 => [5,2,1,1] => 210
10001011 => 00010111 => [4,2,1,1,1] => 224
10001100 => 00000111 => [6,1,1,1] => 56
10001110 => 00001111 => [5,1,1,1,1] => 70
10001111 => 00011111 => [4,1,1,1,1,1] => 56
10010000 => 00000011 => [7,1,1] => 28
10010001 => 00010011 => [4,3,1,1] => 336
10010010 => 00010011 => [4,3,1,1] => 336
10010011 => 00100111 => [3,3,1,1,1] => 280
10010100 => 00001011 => [5,2,1,1] => 210
10010101 => 00101011 => [3,2,2,1,1] => 420
10010110 => 00010111 => [4,2,1,1,1] => 224
10010111 => 00101111 => [3,2,1,1,1,1] => 140
10011000 => 00000111 => [6,1,1,1] => 56
10011001 => 00100111 => [3,3,1,1,1] => 280
10011100 => 00001111 => [5,1,1,1,1] => 70
10011110 => 00011111 => [4,1,1,1,1,1] => 56
10011111 => 00111111 => [3,1,1,1,1,1,1] => 28
10100000 => 00000011 => [7,1,1] => 28
10100001 => 00001011 => [5,2,1,1] => 210
10100010 => 00001011 => [5,2,1,1] => 210
10100100 => 00001011 => [5,2,1,1] => 210
10100101 => 00101011 => [3,2,2,1,1] => 420
10101000 => 00001011 => [5,2,1,1] => 210
10101001 => 00101011 => [3,2,2,1,1] => 420
10101010 => 00101011 => [3,2,2,1,1] => 420
10101011 => 01010111 => [2,2,2,1,1,1] => 192
10101100 => 00010111 => [4,2,1,1,1] => 224
10101101 => 01010111 => [2,2,2,1,1,1] => 192
10101110 => 00101111 => [3,2,1,1,1,1] => 140
10101111 => 01011111 => [2,2,1,1,1,1,1] => 48
10110000 => 00000111 => [6,1,1,1] => 56
10110001 => 00010111 => [4,2,1,1,1] => 224
10110010 => 00010111 => [4,2,1,1,1] => 224
10110100 => 00010111 => [4,2,1,1,1] => 224
10110101 => 01010111 => [2,2,2,1,1,1] => 192
10111000 => 00001111 => [5,1,1,1,1] => 70
10111001 => 00101111 => [3,2,1,1,1,1] => 140
10111010 => 00101111 => [3,2,1,1,1,1] => 140
10111100 => 00011111 => [4,1,1,1,1,1] => 56
10111101 => 01011111 => [2,2,1,1,1,1,1] => 48
10111110 => 00111111 => [3,1,1,1,1,1,1] => 28
10111111 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11000000 => 00000011 => [7,1,1] => 28
11000001 => 00000111 => [6,1,1,1] => 56
11000010 => 00000111 => [6,1,1,1] => 56
11000011 => 00001111 => [5,1,1,1,1] => 70
11000100 => 00000111 => [6,1,1,1] => 56
11000101 => 00010111 => [4,2,1,1,1] => 224
11000110 => 00001111 => [5,1,1,1,1] => 70
11000111 => 00011111 => [4,1,1,1,1,1] => 56
11001000 => 00000111 => [6,1,1,1] => 56
11001001 => 00100111 => [3,3,1,1,1] => 280
11001010 => 00010111 => [4,2,1,1,1] => 224
11001011 => 00101111 => [3,2,1,1,1,1] => 140
11001100 => 00001111 => [5,1,1,1,1] => 70
11001110 => 00011111 => [4,1,1,1,1,1] => 56
11001111 => 00111111 => [3,1,1,1,1,1,1] => 28
11010000 => 00000111 => [6,1,1,1] => 56
11010001 => 00010111 => [4,2,1,1,1] => 224
11010010 => 00010111 => [4,2,1,1,1] => 224
11010100 => 00010111 => [4,2,1,1,1] => 224
11010101 => 01010111 => [2,2,2,1,1,1] => 192
11010110 => 00101111 => [3,2,1,1,1,1] => 140
11010111 => 01011111 => [2,2,1,1,1,1,1] => 48
11011000 => 00001111 => [5,1,1,1,1] => 70
11011001 => 00101111 => [3,2,1,1,1,1] => 140
11011010 => 00101111 => [3,2,1,1,1,1] => 140
11011100 => 00011111 => [4,1,1,1,1,1] => 56
11011101 => 01011111 => [2,2,1,1,1,1,1] => 48
11011110 => 00111111 => [3,1,1,1,1,1,1] => 28
11011111 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11100000 => 00000111 => [6,1,1,1] => 56
11100001 => 00001111 => [5,1,1,1,1] => 70
11100010 => 00001111 => [5,1,1,1,1] => 70
11100011 => 00011111 => [4,1,1,1,1,1] => 56
11100100 => 00001111 => [5,1,1,1,1] => 70
11100101 => 00101111 => [3,2,1,1,1,1] => 140
11100110 => 00011111 => [4,1,1,1,1,1] => 56
11100111 => 00111111 => [3,1,1,1,1,1,1] => 28
11101000 => 00001111 => [5,1,1,1,1] => 70
11101001 => 00101111 => [3,2,1,1,1,1] => 140
11101010 => 00101111 => [3,2,1,1,1,1] => 140
11101011 => 01011111 => [2,2,1,1,1,1,1] => 48
11101100 => 00011111 => [4,1,1,1,1,1] => 56
11101101 => 01011111 => [2,2,1,1,1,1,1] => 48
11101110 => 00111111 => [3,1,1,1,1,1,1] => 28
11101111 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11110000 => 00001111 => [5,1,1,1,1] => 70
11110001 => 00011111 => [4,1,1,1,1,1] => 56
11110010 => 00011111 => [4,1,1,1,1,1] => 56
11110011 => 00111111 => [3,1,1,1,1,1,1] => 28
11110100 => 00011111 => [4,1,1,1,1,1] => 56
11110101 => 01011111 => [2,2,1,1,1,1,1] => 48
11110110 => 00111111 => [3,1,1,1,1,1,1] => 28
11110111 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11111000 => 00011111 => [4,1,1,1,1,1] => 56
11111001 => 00111111 => [3,1,1,1,1,1,1] => 28
11111010 => 00111111 => [3,1,1,1,1,1,1] => 28
11111011 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11111100 => 00111111 => [3,1,1,1,1,1,1] => 28
11111101 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11111110 => 01111111 => [2,1,1,1,1,1,1,1] => 8
11111111 => 11111111 => [1,1,1,1,1,1,1,1,1] => 1
111111111 => 111111111 => [1,1,1,1,1,1,1,1,1,1] => 1
=> => [1] => 1
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Description
The number of standard immaculate tableaux of a given shape.
See Proposition 3.13 of [2] for a hook-length counting formula of these tableaux.
Map
runsort
Description
The word obtained by sorting the weakly increasing runs lexicographically.
Map
to composition
Description
The composition corresponding to a binary word.
Prepending $1$ to a binary word $w$, the $i$-th part of the composition equals $1$ plus the number of zeros after the $i$-th $1$ in $w$.
This map is not surjective, since the empty composition does not have a preimage.