%I #4 Dec 16 2014 08:31:05
%S 322,948,2513,4895,15739,43488,85808,276544,765830,1513196,4875644,
%T 13503569,26685485,85977789,238124824,470585534,1516162514,4199176596,
%U 8298487316,26736562424,74049808021,146338582343,471482312899
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7
%C Column 4 of A252278
%H R. H. Hardin, <a href="/A252274/b252274.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 21*a(n-3) -62*a(n-6) +47*a(n-9) -5*a(n-12) for n>15
%e Some solutions for n=4
%e ..3..3..2..3..0..2....3..2..3..3..2..0....2..1..2..2..1..2....2..1..2..2..1..2
%e ..2..2..1..2..2..1....3..2..3..3..2..3....0..2..3..0..2..3....3..2..0..3..2..0
%e ..0..3..2..0..3..2....2..1..2..2..1..2....3..2..3..3..2..3....3..2..3..3..2..3
%e ..3..3..2..3..3..2....3..2..0..3..2..0....2..1..2..2..1..2....2..1..2..2..1..2
%e ..2..2..1..2..2..1....3..2..3..3..2..3....0..2..3..3..2..0....3..2..3..3..2..0
%e ..0..3..2..3..0..2....2..1..2..2..1..2....3..2..3..0..2..3....3..2..3..0..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014