%I
%S 0,4,17,40,76
%N Maximum total number of possible moves that any number of queens of the same color can make on an n X n chessboard.
%H Peter Kagey, <a href="/A275815/a275815.pdf">Examples for 1 <= n <= 5</a>.
%F Conjecture: a(n) = 8(n2)^2 for n >= 6.  _Alec Jones_, Nov 16 2016
%F Lim_{n>oo} a(n)/n^2 = 8. Putting queens on the 4n4 border locations shows that a(n) >= 8(n2)^2. On the other hand, a(n) <= 8n^2 since each location is in the path of at most 8 queens.  _Chai Wah Wu_, Nov 19 2016
%e The following 3 X 3 chessboard illustrates a(3) = 17:
%e ++++
%e 3 Q   Q 
%e ++++
%e 2 Q   
%e ++++
%e 1  Q  
%e ++++
%e A B C
%e The queen at A3 has three moves, the queen at A2 has four moves, and the queens at B1 and C3 each have five moves.
%Y Cf. A278211, A278212, A278214.
%K nonn,more
%O 1,2
%A _Peter Kagey_, Nov 14 2016
