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A353093 Solution to Forest of Numbers (Bosque de Números) puzzle for Opaque Queens starting with numbers 1 and 2 for an n X n square grid (see Comments). 1
3, 6, 10, 13, 16, 20, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Start with an n X n square grid. Each cell has neighbors horizontally, vertically and diagonally. Place the numbers 1 and 2 anywhere. Now place the numbers 3, 4, ..., m in order, subject to the rule that when you place k, the sum of the numbers that a Chess Queen attack in the same row, column and diagonal must equal k. Then a(n) is the maximum m that can be achieved.

LINKS

Table of n, a(n) for n=2..8.

Rodolfo Kurchan, Puzzle Fun, Problems, Forest of Numbers

EXAMPLE

Solution for a(5) = 13 from Daniel Valdano:

  +---+---+---+---+---+

  | 12| 4 | 8 |   |   |

  +---+---+---+---+---+

  | 7 | 1 | 3 |   | 10|

  +---+---+---+---+---+

  |   |   | 6 |   |   |

  +---+---+---+---+---+

  |   | 9 | 2 | 13| 5 |

  +---+---+---+---+---+

  |   | 11|   |   |   |

  +---+---+---+---+---+

Solution for a(6) = 16 from Daniel Valdano.

Solution for a(7) = 20 from Giorgio Vecchi.

Solution for a(8) = 23 from Giorgio Vecchi.

CROSSREFS

Cf. A352814, A350627, A353070.

Sequence in context: A310050 A028433 A310051 * A080667 A277722 A190007

Adjacent sequences:  A353090 A353091 A353092 * A353094 A353095 A353096

KEYWORD

nonn,more

AUTHOR

Rodolfo Kurchan, Apr 22 2022

STATUS

approved

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Last modified August 13 16:07 EDT 2022. Contains 356107 sequences. (Running on oeis4.)