%I #4 Dec 28 2015 07:03:35
%S 5,22,82,276,830,2278,5752,13525,29864,62455,124501,237951,438085,
%T 780124,1348276,2268306,3724141,5980163,9410094,14534556,22068734,
%U 32983206,48579531,70584895,101268301,143583339,201341148,279420500,384018844
%N Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nondecreasing.
%C Column 4 of A266362.
%H R. H. Hardin, <a href="/A266358/b266358.txt">Table of n, a(n) for n = 1..61</a>
%e Some solutions for n=4
%e ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..0
%e ..0..0..1..1....0..0..0..1....0..0..1..1....0..0..0..0....0..0..1..1
%e ..0..0..1..1....0..1..1..1....0..1..1..1....0..0..0..1....0..0..1..1
%e ..1..1..1..1....1..1..1..0....1..1..1..0....0..1..1..1....0..1..0..1
%Y Cf. A266362.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 28 2015