%I #4 Dec 15 2014 07:30:10
%S 3341,3996,5460,9233,14130,21417,34532,55336,84332,135776,218896,
%T 334872,539664,871440,1334792,2152016,3477712,5329992,8595024,
%U 13894992,21301832,34354256,55548496,85171272,137365584,222131280,340613192,549359696
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7
%C Column 4 of A252192
%H R. H. Hardin, <a href="/A252188/b252188.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-3) -14*a(n-6) +8*a(n-9) for n>17
%e Some solutions for n=4
%e ..3..3..1..3..2..1....1..2..3..1..2..0....3..3..0..3..0..0....2..1..0..2..1..3
%e ..0..1..2..0..1..2....2..1..0..2..1..0....2..1..0..2..1..3....2..2..3..1..2..0
%e ..0..3..0..0..3..0....0..3..0..3..3..0....1..2..0..1..2..0....3..3..0..0..3..0
%e ..3..2..1..3..2..1....1..2..0..1..2..0....0..3..0..3..3..0....2..1..0..2..1..0
%e ..0..1..2..0..1..0....2..1..0..2..1..3....2..1..0..2..1..0....1..2..0..1..2..3
%e ..0..3..0..0..3..0....3..3..0..3..0..3....1..2..3..1..2..0....0..3..0..3..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 15 2014