Identifier
Values
0001 => [3,1] => [[3,3],[2]] => [2] => 2
0010 => [2,1,1] => [[2,2,2],[1,1]] => [1,1] => 1
1101 => [2,1,1] => [[2,2,2],[1,1]] => [1,1] => 1
1110 => [3,1] => [[3,3],[2]] => [2] => 2
00001 => [4,1] => [[4,4],[3]] => [3] => 6
00010 => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 4
00011 => [3,2] => [[4,3],[2]] => [2] => 2
00100 => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 1
00101 => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 1
00110 => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 2
01101 => [1,2,1,1] => [[2,2,2,1],[1,1]] => [1,1] => 1
01110 => [1,3,1] => [[3,3,1],[2]] => [2] => 2
10001 => [1,3,1] => [[3,3,1],[2]] => [2] => 2
10010 => [1,2,1,1] => [[2,2,2,1],[1,1]] => [1,1] => 1
11001 => [2,2,1] => [[3,3,2],[2,1]] => [2,1] => 2
11010 => [2,1,1,1] => [[2,2,2,2],[1,1,1]] => [1,1,1] => 1
11011 => [2,1,2] => [[3,2,2],[1,1]] => [1,1] => 1
11100 => [3,2] => [[4,3],[2]] => [2] => 2
11101 => [3,1,1] => [[3,3,3],[2,2]] => [2,2] => 4
11110 => [4,1] => [[4,4],[3]] => [3] => 6
000001 => [5,1] => [[5,5],[4]] => [4] => 24
000010 => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 36
000011 => [4,2] => [[5,4],[3]] => [3] => 6
000100 => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 4
000101 => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 8
000110 => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 12
000111 => [3,3] => [[5,3],[2]] => [2] => 2
001000 => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 1
001001 => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 2
001010 => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 1
001011 => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 1
001100 => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 2
001101 => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 4
001110 => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 6
010001 => [1,1,3,1] => [[3,3,1,1],[2]] => [2] => 2
010010 => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => [1,1] => 1
011001 => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 2
011010 => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 1
011011 => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 1
011100 => [1,3,2] => [[4,3,1],[2]] => [2] => 2
011101 => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 4
011110 => [1,4,1] => [[4,4,1],[3]] => [3] => 6
100001 => [1,4,1] => [[4,4,1],[3]] => [3] => 6
100010 => [1,3,1,1] => [[3,3,3,1],[2,2]] => [2,2] => 4
100011 => [1,3,2] => [[4,3,1],[2]] => [2] => 2
100100 => [1,2,1,2] => [[3,2,2,1],[1,1]] => [1,1] => 1
100101 => [1,2,1,1,1] => [[2,2,2,2,1],[1,1,1]] => [1,1,1] => 1
100110 => [1,2,2,1] => [[3,3,2,1],[2,1]] => [2,1] => 2
101101 => [1,1,2,1,1] => [[2,2,2,1,1],[1,1]] => [1,1] => 1
101110 => [1,1,3,1] => [[3,3,1,1],[2]] => [2] => 2
110001 => [2,3,1] => [[4,4,2],[3,1]] => [3,1] => 6
110010 => [2,2,1,1] => [[3,3,3,2],[2,2,1]] => [2,2,1] => 4
110011 => [2,2,2] => [[4,3,2],[2,1]] => [2,1] => 2
110100 => [2,1,1,2] => [[3,2,2,2],[1,1,1]] => [1,1,1] => 1
110101 => [2,1,1,1,1] => [[2,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 1
110110 => [2,1,2,1] => [[3,3,2,2],[2,1,1]] => [2,1,1] => 2
110111 => [2,1,3] => [[4,2,2],[1,1]] => [1,1] => 1
111000 => [3,3] => [[5,3],[2]] => [2] => 2
111001 => [3,2,1] => [[4,4,3],[3,2]] => [3,2] => 12
111010 => [3,1,1,1] => [[3,3,3,3],[2,2,2]] => [2,2,2] => 8
111011 => [3,1,2] => [[4,3,3],[2,2]] => [2,2] => 4
111100 => [4,2] => [[5,4],[3]] => [3] => 6
111101 => [4,1,1] => [[4,4,4],[3,3]] => [3,3] => 36
111110 => [5,1] => [[5,5],[4]] => [4] => 24
0000001 => [6,1] => [[6,6],[5]] => [5] => 120
0000010 => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 576
0000011 => [5,2] => [[6,5],[4]] => [4] => 24
0000100 => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 36
0000101 => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 216
0000110 => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 144
0000111 => [4,3] => [[6,4],[3]] => [3] => 6
0001000 => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 4
0001001 => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 24
0001010 => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 16
0001011 => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 8
0001100 => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 12
0001101 => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 72
0001110 => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 48
0001111 => [3,4] => [[6,3],[2]] => [2] => 2
0010000 => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 1
0010001 => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 6
0010010 => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 4
0010011 => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 2
0010100 => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 1
0010101 => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 1
0010110 => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 2
0010111 => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 1
0011000 => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 2
0011001 => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 12
0011010 => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 8
0011011 => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 4
0011100 => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 6
0011101 => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 36
0011110 => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 24
0100001 => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 6
0100010 => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 4
0100011 => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 2
0100100 => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 1
0100101 => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 1
0100110 => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 2
0101101 => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 1
>>> Load all 350 entries. <<<
0101110 => [1,1,1,3,1] => [[3,3,1,1,1],[2]] => [2] => 2
0110001 => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 6
0110010 => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 4
0110011 => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 2
0110100 => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 1
0110101 => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 1
0110110 => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 2
0110111 => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 1
0111000 => [1,3,3] => [[5,3,1],[2]] => [2] => 2
0111001 => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 12
0111010 => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 8
0111011 => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 4
0111100 => [1,4,2] => [[5,4,1],[3]] => [3] => 6
0111101 => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 36
0111110 => [1,5,1] => [[5,5,1],[4]] => [4] => 24
1000001 => [1,5,1] => [[5,5,1],[4]] => [4] => 24
1000010 => [1,4,1,1] => [[4,4,4,1],[3,3]] => [3,3] => 36
1000011 => [1,4,2] => [[5,4,1],[3]] => [3] => 6
1000100 => [1,3,1,2] => [[4,3,3,1],[2,2]] => [2,2] => 4
1000101 => [1,3,1,1,1] => [[3,3,3,3,1],[2,2,2]] => [2,2,2] => 8
1000110 => [1,3,2,1] => [[4,4,3,1],[3,2]] => [3,2] => 12
1000111 => [1,3,3] => [[5,3,1],[2]] => [2] => 2
1001000 => [1,2,1,3] => [[4,2,2,1],[1,1]] => [1,1] => 1
1001001 => [1,2,1,2,1] => [[3,3,2,2,1],[2,1,1]] => [2,1,1] => 2
1001010 => [1,2,1,1,1,1] => [[2,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 1
1001011 => [1,2,1,1,2] => [[3,2,2,2,1],[1,1,1]] => [1,1,1] => 1
1001100 => [1,2,2,2] => [[4,3,2,1],[2,1]] => [2,1] => 2
1001101 => [1,2,2,1,1] => [[3,3,3,2,1],[2,2,1]] => [2,2,1] => 4
1001110 => [1,2,3,1] => [[4,4,2,1],[3,1]] => [3,1] => 6
1010001 => [1,1,1,3,1] => [[3,3,1,1,1],[2]] => [2] => 2
1010010 => [1,1,1,2,1,1] => [[2,2,2,1,1,1],[1,1]] => [1,1] => 1
1011001 => [1,1,2,2,1] => [[3,3,2,1,1],[2,1]] => [2,1] => 2
1011010 => [1,1,2,1,1,1] => [[2,2,2,2,1,1],[1,1,1]] => [1,1,1] => 1
1011011 => [1,1,2,1,2] => [[3,2,2,1,1],[1,1]] => [1,1] => 1
1011100 => [1,1,3,2] => [[4,3,1,1],[2]] => [2] => 2
1011101 => [1,1,3,1,1] => [[3,3,3,1,1],[2,2]] => [2,2] => 4
1011110 => [1,1,4,1] => [[4,4,1,1],[3]] => [3] => 6
1100001 => [2,4,1] => [[5,5,2],[4,1]] => [4,1] => 24
1100010 => [2,3,1,1] => [[4,4,4,2],[3,3,1]] => [3,3,1] => 36
1100011 => [2,3,2] => [[5,4,2],[3,1]] => [3,1] => 6
1100100 => [2,2,1,2] => [[4,3,3,2],[2,2,1]] => [2,2,1] => 4
1100101 => [2,2,1,1,1] => [[3,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 8
1100110 => [2,2,2,1] => [[4,4,3,2],[3,2,1]] => [3,2,1] => 12
1100111 => [2,2,3] => [[5,3,2],[2,1]] => [2,1] => 2
1101000 => [2,1,1,3] => [[4,2,2,2],[1,1,1]] => [1,1,1] => 1
1101001 => [2,1,1,2,1] => [[3,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 2
1101010 => [2,1,1,1,1,1] => [[2,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 1
1101011 => [2,1,1,1,2] => [[3,2,2,2,2],[1,1,1,1]] => [1,1,1,1] => 1
1101100 => [2,1,2,2] => [[4,3,2,2],[2,1,1]] => [2,1,1] => 2
1101101 => [2,1,2,1,1] => [[3,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 4
1101110 => [2,1,3,1] => [[4,4,2,2],[3,1,1]] => [3,1,1] => 6
1101111 => [2,1,4] => [[5,2,2],[1,1]] => [1,1] => 1
1110000 => [3,4] => [[6,3],[2]] => [2] => 2
1110001 => [3,3,1] => [[5,5,3],[4,2]] => [4,2] => 48
1110010 => [3,2,1,1] => [[4,4,4,3],[3,3,2]] => [3,3,2] => 72
1110011 => [3,2,2] => [[5,4,3],[3,2]] => [3,2] => 12
1110100 => [3,1,1,2] => [[4,3,3,3],[2,2,2]] => [2,2,2] => 8
1110101 => [3,1,1,1,1] => [[3,3,3,3,3],[2,2,2,2]] => [2,2,2,2] => 16
1110110 => [3,1,2,1] => [[4,4,3,3],[3,2,2]] => [3,2,2] => 24
1110111 => [3,1,3] => [[5,3,3],[2,2]] => [2,2] => 4
1111000 => [4,3] => [[6,4],[3]] => [3] => 6
1111001 => [4,2,1] => [[5,5,4],[4,3]] => [4,3] => 144
1111010 => [4,1,1,1] => [[4,4,4,4],[3,3,3]] => [3,3,3] => 216
1111011 => [4,1,2] => [[5,4,4],[3,3]] => [3,3] => 36
1111100 => [5,2] => [[6,5],[4]] => [4] => 24
1111101 => [5,1,1] => [[5,5,5],[4,4]] => [4,4] => 576
1111110 => [6,1] => [[6,6],[5]] => [5] => 120
00000001 => [7,1] => [[7,7],[6]] => [6] => 720
00000010 => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 14400
00000101 => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 13824
00001000 => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 36
00001001 => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 864
00001010 => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 1296
00001011 => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 216
00001100 => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 144
00001101 => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 3456
00001110 => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 720
00001111 => [4,4] => [[7,4],[3]] => [3] => 6
00010001 => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 96
00010010 => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 144
00010011 => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 24
00010101 => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 32
00010110 => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 48
00010111 => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 8
00011000 => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 12
00011001 => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 288
00011010 => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 432
00011011 => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 72
00011100 => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 48
00011101 => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 1152
00011110 => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 240
00100010 => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 36
00100011 => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 6
00100100 => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 4
00100101 => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 8
00100110 => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 12
00100111 => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 2
00101001 => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 2
00101010 => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 1
00101011 => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 1
00101100 => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 2
00101101 => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 4
00101110 => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => 6
00110001 => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 48
00110010 => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 72
00110011 => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 12
00110100 => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 8
00110101 => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 16
00110110 => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 24
00110111 => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 4
00111000 => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 6
00111001 => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 144
00111010 => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 216
00111011 => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 36
00111100 => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 24
00111101 => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 576
01000100 => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => [2,2] => 4
01000110 => [1,1,3,2,1] => [[4,4,3,1,1],[3,2]] => [3,2] => 12
01000111 => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 2
01001001 => [1,1,2,1,2,1] => [[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => 2
01001010 => [1,1,2,1,1,1,1] => [[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => 1
01001011 => [1,1,2,1,1,2] => [[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => 1
01001100 => [1,1,2,2,2] => [[4,3,2,1,1],[2,1]] => [2,1] => 2
01001101 => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 4
01001110 => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => [3,1] => 6
01010010 => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 1
01011001 => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 2
01011010 => [1,1,1,2,1,1,1] => [[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => 1
01011011 => [1,1,1,2,1,2] => [[3,2,2,1,1,1],[1,1]] => [1,1] => 1
01011100 => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => [2] => 2
01100010 => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 36
01100011 => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 6
01100100 => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 4
01100101 => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 8
01100110 => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 12
01100111 => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 2
01101001 => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 2
01101010 => [1,2,1,1,1,1,1] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => 1
01101011 => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 1
01101100 => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 2
01101101 => [1,2,1,2,1,1] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 4
01101110 => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 6
01110001 => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 48
01110010 => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 72
01110011 => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 12
01110100 => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => [2,2,2] => 8
01110110 => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 24
01110111 => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 4
01111000 => [1,4,3] => [[6,4,1],[3]] => [3] => 6
01111001 => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 144
01111010 => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 216
01111011 => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 36
10000100 => [1,4,1,2] => [[5,4,4,1],[3,3]] => [3,3] => 36
10000101 => [1,4,1,1,1] => [[4,4,4,4,1],[3,3,3]] => [3,3,3] => 216
10000110 => [1,4,2,1] => [[5,5,4,1],[4,3]] => [4,3] => 144
10000111 => [1,4,3] => [[6,4,1],[3]] => [3] => 6
10001000 => [1,3,1,3] => [[5,3,3,1],[2,2]] => [2,2] => 4
10001001 => [1,3,1,2,1] => [[4,4,3,3,1],[3,2,2]] => [3,2,2] => 24
10001011 => [1,3,1,1,2] => [[4,3,3,3,1],[2,2,2]] => [2,2,2] => 8
10001100 => [1,3,2,2] => [[5,4,3,1],[3,2]] => [3,2] => 12
10001101 => [1,3,2,1,1] => [[4,4,4,3,1],[3,3,2]] => [3,3,2] => 72
10001110 => [1,3,3,1] => [[5,5,3,1],[4,2]] => [4,2] => 48
10010001 => [1,2,1,3,1] => [[4,4,2,2,1],[3,1,1]] => [3,1,1] => 6
10010010 => [1,2,1,2,1,1] => [[3,3,3,2,2,1],[2,2,1,1]] => [2,2,1,1] => 4
10010011 => [1,2,1,2,2] => [[4,3,2,2,1],[2,1,1]] => [2,1,1] => 2
10010100 => [1,2,1,1,1,2] => [[3,2,2,2,2,1],[1,1,1,1]] => [1,1,1,1] => 1
10010101 => [1,2,1,1,1,1,1] => [[2,2,2,2,2,2,1],[1,1,1,1,1]] => [1,1,1,1,1] => 1
10010110 => [1,2,1,1,2,1] => [[3,3,2,2,2,1],[2,1,1,1]] => [2,1,1,1] => 2
10011000 => [1,2,2,3] => [[5,3,2,1],[2,1]] => [2,1] => 2
10011001 => [1,2,2,2,1] => [[4,4,3,2,1],[3,2,1]] => [3,2,1] => 12
10011010 => [1,2,2,1,1,1] => [[3,3,3,3,2,1],[2,2,2,1]] => [2,2,2,1] => 8
10011011 => [1,2,2,1,2] => [[4,3,3,2,1],[2,2,1]] => [2,2,1] => 4
10011100 => [1,2,3,2] => [[5,4,2,1],[3,1]] => [3,1] => 6
10011101 => [1,2,3,1,1] => [[4,4,4,2,1],[3,3,1]] => [3,3,1] => 36
10100011 => [1,1,1,3,2] => [[4,3,1,1,1],[2]] => [2] => 2
10100100 => [1,1,1,2,1,2] => [[3,2,2,1,1,1],[1,1]] => [1,1] => 1
10100101 => [1,1,1,2,1,1,1] => [[2,2,2,2,1,1,1],[1,1,1]] => [1,1,1] => 1
10100110 => [1,1,1,2,2,1] => [[3,3,2,1,1,1],[2,1]] => [2,1] => 2
10101101 => [1,1,1,1,2,1,1] => [[2,2,2,1,1,1,1],[1,1]] => [1,1] => 1
10110001 => [1,1,2,3,1] => [[4,4,2,1,1],[3,1]] => [3,1] => 6
10110010 => [1,1,2,2,1,1] => [[3,3,3,2,1,1],[2,2,1]] => [2,2,1] => 4
10110011 => [1,1,2,2,2] => [[4,3,2,1,1],[2,1]] => [2,1] => 2
10110100 => [1,1,2,1,1,2] => [[3,2,2,2,1,1],[1,1,1]] => [1,1,1] => 1
10110101 => [1,1,2,1,1,1,1] => [[2,2,2,2,2,1,1],[1,1,1,1]] => [1,1,1,1] => 1
10110110 => [1,1,2,1,2,1] => [[3,3,2,2,1,1],[2,1,1]] => [2,1,1] => 2
10111000 => [1,1,3,3] => [[5,3,1,1],[2]] => [2] => 2
10111001 => [1,1,3,2,1] => [[4,4,3,1,1],[3,2]] => [3,2] => 12
10111011 => [1,1,3,1,2] => [[4,3,3,1,1],[2,2]] => [2,2] => 4
11000010 => [2,4,1,1] => [[5,5,5,2],[4,4,1]] => [4,4,1] => 576
11000011 => [2,4,2] => [[6,5,2],[4,1]] => [4,1] => 24
11000100 => [2,3,1,2] => [[5,4,4,2],[3,3,1]] => [3,3,1] => 36
11000101 => [2,3,1,1,1] => [[4,4,4,4,2],[3,3,3,1]] => [3,3,3,1] => 216
11000110 => [2,3,2,1] => [[5,5,4,2],[4,3,1]] => [4,3,1] => 144
11000111 => [2,3,3] => [[6,4,2],[3,1]] => [3,1] => 6
11001000 => [2,2,1,3] => [[5,3,3,2],[2,2,1]] => [2,2,1] => 4
11001001 => [2,2,1,2,1] => [[4,4,3,3,2],[3,2,2,1]] => [3,2,2,1] => 24
11001010 => [2,2,1,1,1,1] => [[3,3,3,3,3,2],[2,2,2,2,1]] => [2,2,2,2,1] => 16
11001011 => [2,2,1,1,2] => [[4,3,3,3,2],[2,2,2,1]] => [2,2,2,1] => 8
11001100 => [2,2,2,2] => [[5,4,3,2],[3,2,1]] => [3,2,1] => 12
11001101 => [2,2,2,1,1] => [[4,4,4,3,2],[3,3,2,1]] => [3,3,2,1] => 72
11001110 => [2,2,3,1] => [[5,5,3,2],[4,2,1]] => [4,2,1] => 48
11010001 => [2,1,1,3,1] => [[4,4,2,2,2],[3,1,1,1]] => [3,1,1,1] => 6
11010010 => [2,1,1,2,1,1] => [[3,3,3,2,2,2],[2,2,1,1,1]] => [2,2,1,1,1] => 4
11010011 => [2,1,1,2,2] => [[4,3,2,2,2],[2,1,1,1]] => [2,1,1,1] => 2
11010100 => [2,1,1,1,1,2] => [[3,2,2,2,2,2],[1,1,1,1,1]] => [1,1,1,1,1] => 1
11010101 => [2,1,1,1,1,1,1] => [[2,2,2,2,2,2,2],[1,1,1,1,1,1]] => [1,1,1,1,1,1] => 1
11010110 => [2,1,1,1,2,1] => [[3,3,2,2,2,2],[2,1,1,1,1]] => [2,1,1,1,1] => 2
11011000 => [2,1,2,3] => [[5,3,2,2],[2,1,1]] => [2,1,1] => 2
11011001 => [2,1,2,2,1] => [[4,4,3,2,2],[3,2,1,1]] => [3,2,1,1] => 12
11011010 => [2,1,2,1,1,1] => [[3,3,3,3,2,2],[2,2,2,1,1]] => [2,2,2,1,1] => 8
11011011 => [2,1,2,1,2] => [[4,3,3,2,2],[2,2,1,1]] => [2,2,1,1] => 4
11011100 => [2,1,3,2] => [[5,4,2,2],[3,1,1]] => [3,1,1] => 6
11011101 => [2,1,3,1,1] => [[4,4,4,2,2],[3,3,1,1]] => [3,3,1,1] => 36
11100001 => [3,4,1] => [[6,6,3],[5,2]] => [5,2] => 240
11100010 => [3,3,1,1] => [[5,5,5,3],[4,4,2]] => [4,4,2] => 1152
11100011 => [3,3,2] => [[6,5,3],[4,2]] => [4,2] => 48
11100100 => [3,2,1,2] => [[5,4,4,3],[3,3,2]] => [3,3,2] => 72
11100101 => [3,2,1,1,1] => [[4,4,4,4,3],[3,3,3,2]] => [3,3,3,2] => 432
11100110 => [3,2,2,1] => [[5,5,4,3],[4,3,2]] => [4,3,2] => 288
11100111 => [3,2,3] => [[6,4,3],[3,2]] => [3,2] => 12
11101000 => [3,1,1,3] => [[5,3,3,3],[2,2,2]] => [2,2,2] => 8
11101001 => [3,1,1,2,1] => [[4,4,3,3,3],[3,2,2,2]] => [3,2,2,2] => 48
11101010 => [3,1,1,1,1,1] => [[3,3,3,3,3,3],[2,2,2,2,2]] => [2,2,2,2,2] => 32
11101100 => [3,1,2,2] => [[5,4,3,3],[3,2,2]] => [3,2,2] => 24
11101101 => [3,1,2,1,1] => [[4,4,4,3,3],[3,3,2,2]] => [3,3,2,2] => 144
11101110 => [3,1,3,1] => [[5,5,3,3],[4,2,2]] => [4,2,2] => 96
11110000 => [4,4] => [[7,4],[3]] => [3] => 6
11110001 => [4,3,1] => [[6,6,4],[5,3]] => [5,3] => 720
11110010 => [4,2,1,1] => [[5,5,5,4],[4,4,3]] => [4,4,3] => 3456
11110011 => [4,2,2] => [[6,5,4],[4,3]] => [4,3] => 144
11110100 => [4,1,1,2] => [[5,4,4,4],[3,3,3]] => [3,3,3] => 216
11110101 => [4,1,1,1,1] => [[4,4,4,4,4],[3,3,3,3]] => [3,3,3,3] => 1296
11110110 => [4,1,2,1] => [[5,5,4,4],[4,3,3]] => [4,3,3] => 864
11110111 => [4,1,3] => [[6,4,4],[3,3]] => [3,3] => 36
11111010 => [5,1,1,1] => [[5,5,5,5],[4,4,4]] => [4,4,4] => 13824
11111101 => [6,1,1] => [[6,6,6],[5,5]] => [5,5] => 14400
11111110 => [7,1] => [[7,7],[6]] => [6] => 720
000000001 => [8,1] => [[8,8],[7]] => [7] => 5040
000000010 => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 518400
000101010 => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 64
001010101 => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 1
110101010 => [2,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1] => 1
111010101 => [3,1,1,1,1,1,1] => [[3,3,3,3,3,3,3],[2,2,2,2,2,2]] => [2,2,2,2,2,2] => 64
111111101 => [7,1,1] => [[7,7,7],[6,6]] => [6,6] => 518400
111111110 => [8,1] => [[8,8],[7]] => [7] => 5040
1111111110 => [9,1] => [[9,9],[8]] => [8] => 40320
1101010101 => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 1
0000000001 => [9,1] => [[9,9],[8]] => [8] => 40320
0010101010 => [2,1,1,1,1,1,1,1,1] => [[2,2,2,2,2,2,2,2,2],[1,1,1,1,1,1,1,1]] => [1,1,1,1,1,1,1,1] => 1
search for individual values
searching the database for the individual values of this statistic
Description
The product of the factorials of the parts.
Map
to ribbon
Description
The ribbon shape corresponding to an integer composition.
For an integer composition $(a_1, \dots, a_n)$, this is the ribbon shape whose $i$th row from the bottom has $a_i$ cells.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word $w$ is the integer compositions composed of the lengths of consecutive runs of the same letter in $w$.
Map
inner shape
Description
The inner shape of a skew partition.