Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #42 Oct 30 2024 08:07:26
%S 36,49,64,81,100,121,142,165,186,209,231,255,277
%N Maximum number of squares covered (i.e., attacked) by 6 independent (i.e., nonattacking) queens on an n X n chessboard.
%e Example for 12 X 12: There are 2 cells marked 'o' or uncovered thus a(12) = 12 * 12 - 2 = 142.
%e x x x x x x x x x x x Q
%e x x x x x x x x x x x x
%e x x x x x x x x x x x x
%e x x x Q x x x x x x x x
%e x x x x x Q x x x x x x
%e x x x x x x x Q x x x x
%e x x x x Q x x x x x x x
%e x x x x x x Q x x x x x
%e o x x x x x x x x x x x
%e x x x x x x x x x x x x
%e x x x x x x x x x x x x
%e x x x x x x x x o x x x
%e From _Christian Sievers_, Sep 08 2024: (Start)
%e Example for 14 X 14 with 186 attacked squares (unattacked ones marked with "+"):
%e . . Q . . . . . . . . . . .
%e . . . . . . . . . Q . . . .
%e . . . . . . . . . . . . . +
%e . + . . . . . . . . . . . .
%e . . . Q . . . . . . . . . .
%e . . . . . . . . . . . . . .
%e . . . . . . . . . . . . . .
%e . . . . . . . . . . . . Q .
%e . + . . . . . . . . . . . .
%e . . . . . . . . . . . . . +
%e . . . . . . Q . . . . . . .
%e . + . . + . . . . . . + . .
%e . . . . . + . . . . + . . +
%e Q . . . . . . . . . . . . .
%e (End)
%Y Column 6 of A376732.
%Y Cf. A075324, A047461, A374933, A375116, A374933, A374934, A374935, A374937, A374938.
%K nonn,more
%O 6,1
%A _John King_, Aug 08 2024
%E a(14) corrected and a(15) confirmed by _Christian Sievers_, Sep 08 2024
%E a(16)-a(18) added using data from _Mia Muessig_ by _Andrew Howroyd_, Oct 05 2024