%I
%S 1,2,4,8,16,168,88,592,712
%N a(n) gives the number of configurations of nonattacking rooks on an n X n chessboard such that the number of distinct directions between the rooks is given by A321531(n).
%e For n = 5, the a(5) = 16 configurations of nonattacking rooks with the maximal number of directions between them are given by the following two chessboards under all eight symmetries of the square.
%e ++++++
%e 5 X     
%e ++++++
%e 4   X   
%e ++++++
%e 3    X  
%e ++++++
%e 2     X 
%e ++++++
%e 1  X    
%e ++++++
%e A B C D E
%e ++++++
%e 5 X     
%e ++++++
%e 4    X  
%e ++++++
%e 3   X   
%e ++++++
%e 2     X 
%e ++++++
%e 1  X    
%e ++++++
%e A B C D E
%Y Cf. A321531.
%K nonn,more
%O 1,2
%A _Peter Kagey_, Nov 12 2018
