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

%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