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Number of nX7 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.
0

%I #3 Dec 28 2015 07:06:37

%S 8,70,614,5752,55734,541207,5061414,44435916,361401441,2711340372,

%T 18782567690,120573237565,720624005211

%N Number of nX7 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.

%C Column 7 of A266362.

%e Some solutions for n=4

%e ..0..0..0..0..0..0..0....0..0..0..0..0..1..1....0..0..0..0..1..1..1

%e ..0..0..0..0..0..1..1....0..1..1..1..1..0..0....0..0..0..1..0..1..1

%e ..0..0..0..0..1..1..1....1..0..0..1..1..1..1....0..1..1..0..1..0..1

%e ..0..0..1..1..1..1..1....1..1..1..0..1..1..1....1..1..1..1..0..0..0

%Y Cf. A266362.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2015