Total SuperQueen Solutions
for Rectangular Chessboards
Number of Columns: 7


Number of Rows

Total Solutions

7

0

8

0

9

2

10

100

11

908

12

4,872

13

19,818

14

66,864

15

193,926

16

498,924

17

1,165,544

18

2,517,036

19

5,089,430

20

9,731,908

21

17,735,888

22

30,999,920

23

52,234,274

24

85,210,284

25

135,059,570

26

208,627,984

27

314,889,330

28

465,423,908

29

674,966,914

30

962,031,720

31

1,349,613,074

32

1,865,975,260

Equation (where "r" is the number of rows):
solutions = r^7 85r^6 +3329r^5 77911r^4 +1175240r^3 11392990r^2 +65448630r 171006180
for r > 23