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Sum of distinct distances between n non-attacking rooks over all n X n chessboards.
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%I #7 Feb 05 2019 21:15:07

%S 0,2,12,78,686,6056,59002,616522,7009264,86023126

%N Sum of distinct distances between n non-attacking rooks over all n X n chessboards.

%C a(n)/n! gives the expected number of distinct distances of n non-attacking rooks on a random n X n chessboard.

%C n!*A319476(n) <= a(n) <= n!*A320448(n).

%Y Cf. A319476, A320448.

%K nonn,more

%O 1,2

%A _Peter Kagey_, Feb 01 2019