A253757 - OEIS

%I #4 Jan 11 2015 11:32:51

%S 512,2992,16544,82064,423232,2154496,11244672,58351744,305405312,

%T 1594118656,8346515200,43652413696,228566467584,1196268052480,

%U 6263749533696,32791986405376,171701217935360,898982481903616

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

%C Column 1 of A253764

%H R. H. Hardin, <a href="/A253757/b253757.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +12*a(n-2) -96*a(n-3) +384*a(n-5) -192*a(n-6) -384*a(n-7) +256*a(n-8) for n>15

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 11 2015