%I #4 Mar 13 2015 13:51:44

%S 68,164,484,1302,3500,9820,27424,76068,212126,592302,1651552,4606638,

%T 12854658,35865050,100061478,279186256,778969128,2173402654,

%U 6064060764,16919528420,47207600896,131715146500,367502127158,1025377787750

%N Number of (n+2)X(2+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 or 1 and no antidiagonal sum 0 or 1 and no row sum 1 and no column sum 1

%C Column 2 of A256029

%H R. H. Hardin, <a href="/A256023/b256023.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +5*a(n-3) -9*a(n-4) -5*a(n-5) -3*a(n-6) +7*a(n-7) +7*a(n-8) +4*a(n-9) -3*a(n-10) -2*a(n-11) -2*a(n-12)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A256029

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 13 2015