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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
1, 2, 4, 8, 16, 168, 88, 592, 712 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

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.

   +---+---+---+---+---+

  5| X |   |   |   |   |

   +---+---+---+---+---+

  4|   |   | X |   |   |

   +---+---+---+---+---+

  3|   |   |   | X |   |

   +---+---+---+---+---+

  2|   |   |   |   | X |

   +---+---+---+---+---+

  1|   | X |   |   |   |

   +---+---+---+---+---+

     A   B   C   D   E

   +---+---+---+---+---+

  5| X |   |   |   |   |

   +---+---+---+---+---+

  4|   |   |   | X |   |

   +---+---+---+---+---+

  3|   |   | X |   |   |

   +---+---+---+---+---+

  2|   |   |   |   | X |

   +---+---+---+---+---+

  1|   | X |   |   |   |

   +---+---+---+---+---+

     A   B   C   D   E

CROSSREFS

Cf. A321531.

Sequence in context: A277280 A095197 A333302 * A061581 A046251 A281291

Adjacent sequences:  A321529 A321530 A321531 * A321533 A321534 A321535

KEYWORD

nonn,more

AUTHOR

Peter Kagey, Nov 12 2018

STATUS

approved

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Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)