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Number of n X n (0,1)-matrices such that the row sums are all different from the column sums.
1

%I #9 Dec 31 2015 06:28:43

%S 0,0,4,12,1708,159860,171320524,365118796448

%N Number of n X n (0,1)-matrices such that the row sums are all different from the column sums.

%C The ratio a(n)/2^(n^2) tends to 0 as n grows.

%H Mathoverflow, <a href="http://mathoverflow.net/questions/227298/a-partition-of-the-set-of-all-n-times-n-0-1-matrices">A partition of the set of all n x n (0,1)-matrices</a>, 2015.

%F a(n) = 2^(n^2) - A266501(n).

%K nonn,hard,more

%O 0,3

%A _Max Alekseyev_, Dec 30 2015

%E a(6)-a(7) from _Hiroaki Yamanouchi_, Dec 31 2015