Total SuperQueen Solutions
for Rectangular Chessboards
Number of Columns: 3
|
|
Number of Rows
|
Total Solutions
|
3
|
0
|
4
|
0
|
5
|
0
|
6
|
0
|
7
|
6
|
8
|
24
|
9
|
60
|
10
|
120
|
11
|
210
|
12
|
336
|
13
|
504
|
14
|
720
|
15
|
990
|
16
|
1,320
|
17
|
1,716
|
18
|
2,184
|
19
|
2,730
|
20
|
3,360
|
21
|
4,080
|
22
|
4,896
|
23
|
5,814
|
24
|
6,840
|
25
|
7,980
|
26
|
9,240
|
27
|
10,626
|
28
|
12,144
|
29
|
13,800
|
30
|
15,600
|
Equation (where "r" is the number of rows):
solutions = (r-6)*(r-5)*(r-4)
for r > 6