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Number of (n+3)X(n+3) binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column
1

%I #6 Mar 31 2012 12:36:53

%S 65536,113856,225858,533832,1515902,4958318,17632598,65399112,

%T 247473102,945795678,3634766026,14019410518,54220125826,210161235962,

%U 816146103614,3174723239624,12367645524302,48244264125326,188419648917242

%N Number of (n+3)X(n+3) binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column

%C Diagonal of A202939

%H R. H. Hardin, <a href="/A202932/b202932.txt">Table of n, a(n) for n = 1..65</a>

%e Some solutions for n=2

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 26 2011