%I #4 Dec 29 2015 19:54:23
%S 2,6,19,66,232,794,2574,7797,22058,58469,146027,345578,779240,1682359,
%T 3492869,6999952,13585959,25610002,47004982,84187248,147421139,
%U 252829908,425319569,702767285,1141951244,1826839569,2880058656,4478585700
%N Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.
%C Column 4 of A266470.
%H R. H. Hardin, <a href="/A266466/b266466.txt">Table of n, a(n) for n = 1..67</a>
%e Some solutions for n=4
%e ..0..1..1..1....0..0..0..1....0..0..0..0....0..0..1..1....0..1..1..1
%e ..1..0..0..1....0..0..0..1....0..1..1..1....0..1..0..0....0..1..1..1
%e ..1..1..1..0....1..1..1..0....1..0..0..0....1..0..0..0....1..0..0..0
%e ..1..1..1..1....1..1..1..0....1..0..0..0....1..1..0..0....1..0..0..0
%Y Cf. A266470.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 29 2015