- #1

- 508

- 0

Hi all,

I found this problem in a Martin Gardner book. You have a chess board of n x n squares. How many moves m(n) can a chess knight make on this board without crossing or touching its own path?

m(0) = 0

m(1) = 0

m(2) = 0

m(3) = 2

m(4) = 5

m(5) = 10

m(6) = 17

m(7) = 24

m(8) = 35

http://home.t-online.de/home/b_c.kuss/mgard.JPG

Anyone know how to continue this? Thanks!

I found this problem in a Martin Gardner book. You have a chess board of n x n squares. How many moves m(n) can a chess knight make on this board without crossing or touching its own path?

m(0) = 0

m(1) = 0

m(2) = 0

m(3) = 2

m(4) = 5

m(5) = 10

m(6) = 17

m(7) = 24

m(8) = 35

http://home.t-online.de/home/b_c.kuss/mgard.JPG

Anyone know how to continue this? Thanks!

Last edited: