%I #4 Jan 09 2015 08:44:36
%S 40,76,146,304,602,1182,2416,4772,9652,19152,38524,76996,154072,
%T 308634,617062,1236382,2472602,4951496,9907740,19832536,39695188,
%U 79445558,159023072,318264564,637042828,1275004742,2551980574,5107782140
%N Number of (n+1)X(2+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically
%C Column 2 of A253698
%H R. H. Hardin, <a href="/A253692/b253692.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-2) +2*a(n-3) -2*a(n-4) -a(n-5) -7*a(n-6) -3*a(n-7) +9*a(n-8) +3*a(n-9) +a(n-10) -a(n-11) -6*a(n-12) +4*a(n-14) -a(n-16)
%e Some solutions for n=4
%e ..1..0..1....1..1..1....0..0..1....1..1..0....0..1..0....0..0..1....0..0..1
%e ..1..1..0....0..1..1....1..0..1....0..1..0....0..1..1....1..1..0....0..0..0
%e ..0..0..1....1..0..0....1..1..0....0..0..1....1..0..0....1..1..0....0..1..1
%e ..1..0..0....0..1..0....0..0..1....1..1..0....0..1..0....0..0..1....1..0..1
%e ..0..1..1....0..0..0....1..0..0....0..1..0....1..1..0....1..0..0....1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 09 2015