%I
%S 0,4,12,28,48
%N Maximum total number of possible moves that any number of rooks of the same color can make on an n X n chessboard.
%C a(n) <= A275815(n).
%H Peter Kagey, <a href="/A278211/a278211.pdf">Examples for 1 <= n <= 5</a>.
%F Lim_{n>oo} a(n)/n^2 = 4. Putting rooks on the 4n8 border locations that are not corners shows that a(n) >= 4(n2)^2 + 8. On the other hand, a(n) <= 4n^2 since each location is in the path of at most 4 rooks.  _Chai Wah Wu_, Nov 20 2016
%e The following 4 X 4 chessboard illustrates a(4) = 28:
%e +++++
%e 4 R    R 
%e +++++
%e 3   R  
%e +++++
%e 2  R   
%e +++++
%e 1 R    R 
%e +++++
%e A B C D
%e The rooks at B2 and C3 each have six moves, the remaining rooks (at A1, A4, D1, and D4) each have four moves.
%Y Cf. A275815, A278212, A278215.
%K nonn,more
%O 1,2
%A _Peter Kagey_, Nov 15 2016
