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A266541 Number of n X n binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing.

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%I A266541 #6 Apr 20 2020 19:44:01
%S A266541 2,3,5,12,36,176,1688,48167,4283651
%N A266541 Number of n X n binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing.
%C A266541 Diagonal of A266547.
%e A266541 Some solutions for n=6
%e A266541 ..0..0..0..0..1..1....0..0..1..1..1..1....0..1..1..1..1..1....0..1..1..1..1..1
%e A266541 ..0..0..1..1..0..0....0..1..0..0..1..1....1..0..0..1..1..1....1..0..0..1..1..1
%e A266541 ..0..1..0..0..0..0....0..1..0..0..1..1....1..0..1..0..0..1....1..0..1..0..1..1
%e A266541 ..1..0..0..0..0..0....1..0..1..1..0..0....1..1..0..0..1..0....1..1..0..1..0..0
%e A266541 ..1..0..0..0..0..0....1..0..1..1..0..0....1..1..0..1..0..0....1..1..1..0..0..0
%e A266541 ..1..0..0..0..0..0....1..1..0..0..0..0....1..1..1..0..0..0....1..1..1..0..0..0
%Y A266541 Cf. A266547.
%K A266541 nonn
%O A266541 1,1
%A A266541 _R. H. Hardin_, Dec 31 2015

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