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A266501 Number of n X n (0,1)-matrices such that there is a row and a column with equal sums. 1

%I #9 Dec 31 2015 06:28:54

%S 1,2,12,500,63828,33394572,68548156212,562584834624864

%N Number of n X n (0,1)-matrices such that there is a row and a column with equal sums.

%C The ratio a(n)/2^(n^2) tends to 1 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) - A266500(n).

%K nonn,hard,more

%O 0,2

%A _Max Alekseyev_, Dec 30 2015

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

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)