A353093 -id:A353093 - cp's OEIS frontend

A353103 Solution to Forest of Numbers (Bosque de Números) puzzle for Opaque Rooks starting with numbers 1 and 2 for an n X n square grid (see Comments).

3, 7, 9, 12, 16, 21, 25, 32, 37

Offset: 2

Rodolfo Kurchan, Apr 23 2022

Start with an n X n square grid. Each cell has neighbors horizontally and vertically. 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 Rook attack in the same row and column must equal k. Then a(n) is the maximum m that can be achieved.

			Solution for a(5) = 12 from Rodolfo Kurchan:
  +---+---+---+---+---+
  | 1 |   |   | 4 | 3 |
  +---+---+---+---+---+
  | 6 |   |   |   | 5 |
  +---+---+---+---+---+
  |   |   |   | 11| 7 |
  +---+---+---+---+---+
  |   |   |   |   | 9 |
  +---+---+---+---+---+
  | 8 | 10| 12|   | 2 |
  +---+---+---+---+---+
Solutions for a(2) to a(6) from Rodolfo Kurchan.
Solutions for a(7) to a(10) from Giorgio Vecchi.

Rodolfo Kurchan, Puzzle Fun, Problems, Forest of Numbers

Cf. A350627, A352814, A353070, A353093.

cp's OEIS Frontend

A353103 Solution to Forest of Numbers (Bosque de Números) puzzle for Opaque Rooks starting with numbers 1 and 2 for an n X n square grid (see Comments).

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