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A321532 a(n) gives the number of configurations of non-attacking rooks on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n). 1

%I

%S 1,2,4,8,16,168,88,592,712

%N a(n) gives the number of configurations of non-attacking rooks on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n).

%e For n = 5, the a(5) = 16 configurations of nonattacking rooks with the maximal number of directions between them are given by the following two chessboards under all eight symmetries of the square.

%e +---+---+---+---+---+

%e 5| X | | | | |

%e +---+---+---+---+---+

%e 4| | | X | | |

%e +---+---+---+---+---+

%e 3| | | | X | |

%e +---+---+---+---+---+

%e 2| | | | | X |

%e +---+---+---+---+---+

%e 1| | X | | | |

%e +---+---+---+---+---+

%e A B C D E

%e +---+---+---+---+---+

%e 5| X | | | | |

%e +---+---+---+---+---+

%e 4| | | | X | |

%e +---+---+---+---+---+

%e 3| | | X | | |

%e +---+---+---+---+---+

%e 2| | | | | X |

%e +---+---+---+---+---+

%e 1| | X | | | |

%e +---+---+---+---+---+

%e A B C D E

%Y Cf. A321531.

%K nonn,more

%O 1,2

%A _Peter Kagey_, Nov 12 2018

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Last modified October 1 14:19 EDT 2022. Contains 357149 sequences. (Running on oeis4.)