A374936 Maximum number of squares covered (i.e., attacked) by 6 independent (i.e., nonattacking) queens on an n X n chessboard.

36, 49, 64, 81, 100, 121, 142, 165, 186, 209, 231, 255, 277

Offset: 6

Author

John King, Aug 08 2024

Keywords

• nonn
• more

Examples

			Example for 12 X 12: There are 2 cells marked 'o' or uncovered thus a(12) = 12 * 12 - 2 = 142.
  x x x x x x x x x x x Q
  x x x x x x x x x x x x
  x x x x x x x x x x x x
  x x x Q x x x x x x x x
  x x x x x Q x x x x x x
  x x x x x x x Q x x x x
  x x x x Q x x x x x x x
  x x x x x x Q x x x x x
  o x x x x x x x x x x x
  x x x x x x x x x x x x
  x x x x x x x x x x x x
  x x x x x x x x o x x x
From _Christian Sievers_, Sep 08 2024: (Start)
Example for 14 X 14 with 186 attacked squares (unattacked ones marked with "+"):
  . . Q . . . . . . . . . . .
  . . . . . . . . . Q . . . .
  . . . . . . . . . . . . . +
  . + . . . . . . . . . . . .
  . . . Q . . . . . . . . . .
  . . . . . . . . . . . . . .
  . . . . . . . . . . . . . .
  . . . . . . . . . . . . Q .
  . + . . . . . . . . . . . .
  . . . . . . . . . . . . . +
  . . . . . . Q . . . . . . .
  . + . . + . . . . . . + . .
  . . . . . + . . . . + . . +
  Q . . . . . . . . . . . . .
(End)
		

Crossrefs

Column 6 of A376732.

Cf. A075324, A047461, A374933, A375116, A374933, A374934, A374935, A374937, A374938.

Extensions

a(14) corrected and a(15) confirmed by Christian Sievers, Sep 08 2024

a(16)-a(18) added using data from Mia Muessig by Andrew Howroyd, Oct 05 2024