The Distribution of the Knight

Dr Colin Rose
 

Solutions:   5 × m

For any given starting point, how many solutions exist to the Knight's Tour problem?
This page displays the answer for all (5 × m) chess boards, for m < 8.

5 × 3
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0

Solutions: 0


5 × 4
32 0 0 32
7 0 0 7
4 0 0 4
7 0 0 7
32 0 0 32

Solutions: 164


5 × 5
304 0 56 0 304
0 56 0 56 0
56 0 64 0 56
0 56 0 56 0
304 0 56 0 304

Solutions: 1728


5 × 6
4542 1910 906 906 1910 4542
1080 742 84 84 742 1080
172 16 68 68 16 172
1080 742 84 84 742 1080
4542 1910 906 906 1910 4542

Solutions: 37568


5 × 7
187432 0 60978 0 60978 0 187432
0 29764 0 23848 0 29764 0
27732 0 14940 0 14940 0 27732
0 29764 0 23848 0 29764 0
187432 0 60978 0 60978 0 187432

Solutions: 1245736