Friday 28 November 2014

Fairy Board



From the Fairy Board identify:
[1] The 2 ways to arrange 4 non-attacking kings on a 4 X 4 board with 1 in each row and column.
See Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n board,
with 1 in each row and column  (A002464)

[2] The 4 ways to place a non-attacking white and black rook on 2 X 2 chessboard.
See Number of ways to place a non-attacking white and black rook on n X n chessboard  (A035287)

[3] One of the 4 ways to place 10 nonattacking superqueens on a 10 X 10 board.
See Number of ways of placing n nonattacking superqueens on an n X n board  (A051223)


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