%I #4 Dec 15 2014 07:31:36

%S 7973,9508,13737,21417,37035,57629,87230,150297,239980,380896,661172,

%T 1077056,1764648,3158368,5312912,9015496,16782224,29334608,51772488,

%U 100395856,182091344,332883016,667871312,1246565456,2338093128

%N Number of (n+2)X(6+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 6 of A252192

%H R. H. Hardin, <a href="/A252190/b252190.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-3) -70*a(n-6) +120*a(n-9) -64*a(n-12) for n>21

%e Some solutions for n=4

%e ..2..3..1..2..0..1..2..3....2..2..3..1..2..3..1..2....0..1..2..3..1..2..0..1

%e ..1..1..1..1..1..1..1..1....3..0..0..0..0..0..0..0....0..3..3..0..0..3..0..3

%e ..3..2..1..0..2..1..3..2....2..1..3..2..1..3..2..1....3..2..1..0..2..1..0..2

%e ..2..0..1..2..3..1..2..0....1..2..0..1..2..3..1..2....0..1..2..0..1..2..3..1

%e ..1..1..1..1..1..1..1..1....3..0..0..3..0..0..0..0....3..3..0..0..3..3..0..0

%e ..3..2..1..3..2..1..0..0....2..1..3..2..1..3..2..1....0..2..1..3..2..1..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2014