Total SuperQueen Solutions
for Rectangular Chessboards
|
Number of Columns: 5
|
|
|
Number of Rows
|
Total Solutions
|
|
5
|
0
|
|
6
|
0
|
|
7
|
0
|
|
8
|
4
|
|
9
|
40
|
|
10
|
204
|
|
11
|
708
|
|
12
|
1,968
|
|
13
|
4,712
|
|
14
|
10,064
|
|
15
|
19,656
|
|
16
|
35,744
|
|
17
|
61,328
|
|
18
|
100,272
|
|
19
|
157,424
|
|
20
|
238,736
|
|
21
|
351,384
|
|
22
|
503,888
|
|
23
|
706,232
|
|
24
|
969,984
|
|
25
|
1,308,416
|
|
26
|
1,736,624
|
|
27
|
2,271,648
|
|
28
|
2,932,592
|
|
29
|
3,740,744
|
|
30
|
4,719,696
|
Equation (where "r" is the number of rows):
solutions = r^5 -44r^4 +823r^3 -8168r^2 +42796r -93984
for r > 11