%I #4 Dec 19 2014 10:19:57
%S 1051,1379,2817,5304,14435,37917,75859,213611,599753,1195427,3451701,
%T 10095479,19984819,58655670,176140167,346827424,1029346845,3144314768,
%U 6169315363,18442681353,56943954915,111477238107,334759247526
%N Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8
%C Column 2 of A252615
%H R. H. Hardin, <a href="/A252609/b252609.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 37*a(n-3) -445*a(n-6) +2151*a(n-9) -4973*a(n-12) +7261*a(n-15) -8366*a(n-18) +5776*a(n-21) -1440*a(n-24) for n>33
%e Some solutions for n=4
%e ..1..2..2..1....2..3..0..2....0..3..2..3....3..3..2..0....2..3..3..2
%e ..0..2..3..3....2..1..2..2....1..2..2..1....1..2..2..1....2..1..2..2
%e ..3..3..2..0....0..3..2..0....0..2..3..0....3..2..3..0....0..3..2..0
%e ..1..2..2..1....2..3..0..2....0..3..2..0....3..0..2..3....2..3..0..2
%e ..0..2..3..3....2..1..2..0....1..2..2..1....1..2..2..1....2..1..2..2
%e ..0..3..2..3....3..3..0..0....3..2..3..3....3..2..0..3....3..0..2..3
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2014
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