In how many ways you can put three rooks on a chessboard so that no two of them are in same row ,column or diagonal.


This is OEIS A047659 "Number of ways to place 3 nonattacking queens on an n X n board."


  • 1
    $\begingroup$ queen != rook (: $\endgroup$ – Douglas S. Stones Apr 15 '12 at 5:35
  • 2
    $\begingroup$ @Douglas, that's as may be, but look at the original question, which asks the rooks not be on the same diagonal. For this problem, those rooks have been promoted to queens! $\endgroup$ – Gerry Myerson Apr 15 '12 at 6:47
  • $\begingroup$ Oops! You're right. $\endgroup$ – Douglas S. Stones Apr 15 '12 at 7:19
  • $\begingroup$ :) Thanks, Gerry, for pointing it out. $\endgroup$ – user1272 Apr 15 '12 at 7:58

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