%I #4 Feb 14 2015 11:54:53

%S 77,189,539,1475,4075,11573,32627,91821,259851,734851,2075941,5870163,

%T 16600435,46931203,132697609,375223671,1060938473,2999820909,

%U 8482201517,23983752731,67814920687,191749978139,542181596411,1533041341641

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

%C Column 2 of A255101

%H R. H. Hardin, <a href="/A255095/b255095.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +6*a(n-3) -12*a(n-4) -3*a(n-5) -a(n-6) +6*a(n-7) +a(n-8) +6*a(n-9) +a(n-10) +3*a(n-11) -3*a(n-12) -3*a(n-13) -2*a(n-14)

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255101

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 14 2015