Identifier
Values
0 => 0 => 1
1 => 1 => 1
00 => 00 => 1
01 => 01 => 2
10 => 01 => 2
11 => 11 => 1
000 => 000 => 1
001 => 001 => 3
010 => 001 => 3
011 => 011 => 3
100 => 001 => 3
101 => 011 => 3
110 => 011 => 3
111 => 111 => 1
0000 => 0000 => 1
0001 => 0001 => 4
0010 => 0001 => 4
0011 => 0011 => 6
0100 => 0001 => 4
0101 => 0101 => 16
0110 => 0011 => 6
0111 => 0111 => 4
1000 => 0001 => 4
1001 => 0011 => 6
1010 => 0011 => 6
1011 => 0111 => 4
1100 => 0011 => 6
1101 => 0111 => 4
1110 => 0111 => 4
1111 => 1111 => 1
00000 => 00000 => 1
00001 => 00001 => 5
00010 => 00001 => 5
00011 => 00011 => 10
00100 => 00001 => 5
00101 => 00101 => 35
00110 => 00011 => 10
00111 => 00111 => 10
01000 => 00001 => 5
01001 => 00101 => 35
01010 => 00101 => 35
01011 => 01011 => 35
01100 => 00011 => 10
01101 => 01011 => 35
01110 => 00111 => 10
01111 => 01111 => 5
10000 => 00001 => 5
10001 => 00011 => 10
10010 => 00011 => 10
10011 => 00111 => 10
10100 => 00011 => 10
10101 => 01011 => 35
10110 => 00111 => 10
10111 => 01111 => 5
11000 => 00011 => 10
11001 => 00111 => 10
11010 => 00111 => 10
11011 => 01111 => 5
11100 => 00111 => 10
11101 => 01111 => 5
11110 => 01111 => 5
11111 => 11111 => 1
000000 => 000000 => 1
000001 => 000001 => 6
000010 => 000001 => 6
000011 => 000011 => 15
000100 => 000001 => 6
000101 => 000101 => 64
000110 => 000011 => 15
000111 => 000111 => 20
001000 => 000001 => 6
001001 => 001001 => 99
001010 => 000101 => 64
001011 => 001011 => 90
001100 => 000011 => 15
001101 => 001101 => 111
001110 => 000111 => 20
001111 => 001111 => 15
010000 => 000001 => 6
010001 => 000101 => 64
010010 => 000101 => 64
010011 => 001101 => 111
010100 => 000101 => 64
010101 => 010101 => 272
010110 => 001011 => 90
010111 => 010111 => 64
011000 => 000011 => 15
011001 => 001011 => 90
011010 => 001011 => 90
011011 => 011011 => 99
011100 => 000111 => 20
011101 => 010111 => 64
011110 => 001111 => 15
011111 => 011111 => 6
100000 => 000001 => 6
100001 => 000011 => 15
100010 => 000011 => 15
100011 => 000111 => 20
100100 => 000011 => 15
100101 => 001011 => 90
100110 => 000111 => 20
>>> Load all 254 entries. <<<
100111 => 001111 => 15
101000 => 000011 => 15
101001 => 001011 => 90
101010 => 001011 => 90
101011 => 010111 => 64
101100 => 000111 => 20
101101 => 010111 => 64
101110 => 001111 => 15
101111 => 011111 => 6
110000 => 000011 => 15
110001 => 000111 => 20
110010 => 000111 => 20
110011 => 001111 => 15
110100 => 000111 => 20
110101 => 010111 => 64
110110 => 001111 => 15
110111 => 011111 => 6
111000 => 000111 => 20
111001 => 001111 => 15
111010 => 001111 => 15
111011 => 011111 => 6
111100 => 001111 => 15
111101 => 011111 => 6
111110 => 011111 => 6
111111 => 111111 => 1
0000000 => 0000000 => 1
0000001 => 0000001 => 7
0000010 => 0000001 => 7
0000011 => 0000011 => 21
0000100 => 0000001 => 7
0000101 => 0000101 => 105
0000110 => 0000011 => 21
0000111 => 0000111 => 35
0001000 => 0000001 => 7
0001001 => 0001001 => 203
0001010 => 0000101 => 105
0001011 => 0001011 => 189
0001100 => 0000011 => 21
0001101 => 0001101 => 245
0001110 => 0000111 => 35
0001111 => 0001111 => 35
0010000 => 0000001 => 7
0010001 => 0001001 => 203
0010010 => 0001001 => 203
0010011 => 0010011 => 315
0010100 => 0000101 => 105
0010101 => 0010101 => 791
0010110 => 0001011 => 189
0010111 => 0010111 => 189
0011000 => 0000011 => 21
0011001 => 0010011 => 315
0011010 => 0001101 => 245
0011011 => 0011011 => 315
0011100 => 0000111 => 35
0011101 => 0011101 => 259
0011110 => 0001111 => 35
0011111 => 0011111 => 21
0100000 => 0000001 => 7
0100001 => 0000101 => 105
0100010 => 0000101 => 105
0100011 => 0001101 => 245
0100100 => 0000101 => 105
0100101 => 0010101 => 791
0100110 => 0001101 => 245
0100111 => 0011101 => 259
0101000 => 0000101 => 105
0101001 => 0010101 => 791
0101010 => 0010101 => 791
0101011 => 0101011 => 791
0101100 => 0001011 => 189
0101101 => 0101011 => 791
0101110 => 0010111 => 189
0101111 => 0101111 => 105
0110000 => 0000011 => 21
0110001 => 0001011 => 189
0110010 => 0001011 => 189
0110011 => 0011011 => 315
0110100 => 0001011 => 189
0110101 => 0101011 => 791
0110110 => 0011011 => 315
0110111 => 0110111 => 203
0111000 => 0000111 => 35
0111001 => 0010111 => 189
0111010 => 0010111 => 189
0111011 => 0110111 => 203
0111100 => 0001111 => 35
0111101 => 0101111 => 105
0111110 => 0011111 => 21
0111111 => 0111111 => 7
1000000 => 0000001 => 7
1000001 => 0000011 => 21
1000010 => 0000011 => 21
1000011 => 0000111 => 35
1000100 => 0000011 => 21
1000101 => 0001011 => 189
1000110 => 0000111 => 35
1000111 => 0001111 => 35
1001000 => 0000011 => 21
1001001 => 0010011 => 315
1001010 => 0001011 => 189
1001011 => 0010111 => 189
1001100 => 0000111 => 35
1001101 => 0011011 => 315
1001110 => 0001111 => 35
1001111 => 0011111 => 21
1010000 => 0000011 => 21
1010001 => 0001011 => 189
1010010 => 0001011 => 189
1010011 => 0011011 => 315
1010100 => 0001011 => 189
1010101 => 0101011 => 791
1010110 => 0010111 => 189
1010111 => 0101111 => 105
1011000 => 0000111 => 35
1011001 => 0010111 => 189
1011010 => 0010111 => 189
1011011 => 0110111 => 203
1011100 => 0001111 => 35
1011101 => 0101111 => 105
1011110 => 0011111 => 21
1011111 => 0111111 => 7
1100000 => 0000011 => 21
1100001 => 0000111 => 35
1100010 => 0000111 => 35
1100011 => 0001111 => 35
1100100 => 0000111 => 35
1100101 => 0010111 => 189
1100110 => 0001111 => 35
1100111 => 0011111 => 21
1101000 => 0000111 => 35
1101001 => 0010111 => 189
1101010 => 0010111 => 189
1101011 => 0101111 => 105
1101100 => 0001111 => 35
1101101 => 0101111 => 105
1101110 => 0011111 => 21
1101111 => 0111111 => 7
1110000 => 0000111 => 35
1110001 => 0001111 => 35
1110010 => 0001111 => 35
1110011 => 0011111 => 21
1110100 => 0001111 => 35
1110101 => 0101111 => 105
1110110 => 0011111 => 21
1110111 => 0111111 => 7
1111000 => 0001111 => 35
1111001 => 0011111 => 21
1111010 => 0011111 => 21
1111011 => 0111111 => 7
1111100 => 0011111 => 21
1111101 => 0111111 => 7
1111110 => 0111111 => 7
1111111 => 1111111 => 1
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Description
The number of permutations whose descent word is the given binary word.
This is the sizes of the preimages of the map Mp00109descent word.
Map
runsort
Description
The word obtained by sorting the weakly increasing runs lexicographically.