

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




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



