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

%I #4 Jan 06 2016 11:30:31

%S 2,5,14,52,210,871,3566,13899,50841,173470,553021,1652621,4652572,

%T 12400392,31443461,76188169,177120011,396481264,857322183,1795814448,

%U 3653191802,7233526075,13969016501,26357103244,48668165412,88071764221

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

%C Column 5 of A266935.

%H R. H. Hardin, <a href="/A266932/b266932.txt">Table of n, a(n) for n = 1..34</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A266935.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2016