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%I #3 Jan 06 2016 11:34:40
%S 7,29,92,288,871,2577,7185,19529,50216,125786,298869,696808,1546941,
%T 3382516,7085876,14650326,29153966,57417292,109223923,205966389,
%U 376634957,683318087,1206075185,2114385852,3615867548
%N Number of 6Xn binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.
%C Row 6 of A266935.
%e Some solutions for n=4
%e ..0..0..0..1....0..0..0..1....0..0..1..1....0..0..0..1....0..0..0..1
%e ..0..0..0..1....0..0..1..0....0..1..0..1....0..0..1..0....0..0..1..1
%e ..0..0..0..1....0..1..0..0....1..0..0..1....0..0..1..0....1..1..0..0
%e ..1..1..1..0....1..0..0..0....1..0..1..0....0..1..0..0....1..1..0..0
%e ..1..1..1..0....1..0..0..0....1..1..0..0....1..0..0..0....1..1..1..0
%e ..1..1..1..0....1..1..1..1....1..1..1..0....1..1..0..1....1..1..1..0
%Y Cf. A266935.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 06 2016
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