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Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.
1

%I #4 Dec 29 2015 19:55:06

%S 2,7,28,137,735,4074,22128,113677,544142,2417707,9991874,38585111,

%T 139969744,479482160,1558677189,4829461991,14318767180,40765225229,

%U 111787710303,296081929163,759290568963,1889449601320,4571408444209

%N Number of nX5 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.

%C Column 5 of A266470.

%H R. H. Hardin, <a href="/A266467/b266467.txt">Table of n, a(n) for n = 1..32</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266470.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2015