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Number of 6Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.
1

%I #4 Dec 29 2015 10:18:59

%S 7,50,433,4383,45907,448649,3889553,29520031,197001842,1168481498,

%T 6234449897,30265682491,135048855227,558800630541,2160517610564,

%U 7856777499625,27025799141430,88367939113010,275837411169430

%N Number of 6Xn binary arrays with rows and columns lexicographically nondecreasing and column sums nondecreasing.

%C Row 6 of A266428.

%H R. H. Hardin, <a href="/A266432/b266432.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A266432/a266432_1.txt">Empirical polynomial of degree 33</a>

%F Empirical polynomial of degree 33 (see link above)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A266428.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2015