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Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.
1

%I #4 Dec 29 2015 09:51:58

%S 5,25,106,404,1391,4383,12758,34611,88206,212609,487630,1069664,

%T 2254259,4581719,9011222,17200214,31944220,57853902,102380657,

%U 177341666,301156443,502075951,822789263,1326908069,2107999291,3302022425

%N Number of nX4 binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.

%C Column 4 of A266428.

%H R. H. Hardin, <a href="/A266424/b266424.txt">Table of n, a(n) for n = 1..66</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266428.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2015