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Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally and vertically
1

%I #4 Jan 14 2015 07:01:33

%S 2700,12992,60392,181070,651937,2008068,7125170,23696686,83201751,

%T 284492002,989245744,3404806015,11765494893,40505747884,139520863174,

%U 479991310053,1651051052299,5677350741360,19519625917475,67108356622603

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally and vertically

%C Column 2 of A253820

%H R. H. Hardin, <a href="/A253814/b253814.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 14 2015