Total SuperQueen Solutions
for Rectangular Chessboards
|
Number of Columns: 6
|
|
|
Number of Rows
|
Total Solutions
|
|
6
|
0
|
|
7
|
0
|
|
8
|
0
|
|
9
|
16
|
|
10
|
170
|
|
11
|
920
|
|
12
|
3,512
|
|
13
|
10,896
|
|
14
|
29,020
|
|
15
|
68,550
|
|
16
|
147,240
|
|
17
|
292,996
|
|
18
|
547,590
|
|
19
|
970,996
|
|
20
|
1,646,446
|
|
21
|
2,686,212
|
|
22
|
4,238,086
|
|
23
|
6,492,580
|
|
24
|
9,690,846
|
|
25
|
14,133,316
|
|
26
|
20,189,062
|
|
27
|
28,305,876
|
|
28
|
39,021,070
|
|
29
|
52,972,996
|
|
30
|
70,913,286
|
Equation (where "r" is the number of rows):
solutions = r^6 -63r^5 +1775r^4 -28613r^3 +277462r^2 -1526716r +3699966
for r > 16