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%I #4 Dec 19 2014 10:20:36
%S 1717,2815,7031,15119,51614,153189,342559,1193633,3615116,8087690,
%T 28540149,86930370,193559058,689795782,2109640661,4677334735,
%U 16803139847,51555232564,113908588386,411856910255,1266861865118,2791348808838
%N Number of (n+2)X(3+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 3 of A252615
%H R. H. Hardin, <a href="/A252610/b252610.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 52*a(n-3) -856*a(n-6) +5181*a(n-9) -18180*a(n-12) +51196*a(n-15) -102032*a(n-18) +138624*a(n-21) -161024*a(n-24) +136192*a(n-27) -49152*a(n-30) for n>38
%e Some solutions for n=4
%e ..2..3..3..2..0....2..0..1..2..2....0..3..2..0..3....0..2..3..0..2
%e ..3..2..0..3..2....0..0..3..2..3....2..3..3..2..0....0..3..2..3..0
%e ..2..2..1..2..2....0..2..3..0..2....2..1..2..2..1....1..2..2..1..2
%e ..2..3..3..2..3....2..2..1..2..2....3..3..2..0..3....3..2..3..0..2
%e ..3..2..3..0..2....2..3..3..2..0....2..0..3..2..3....3..3..2..0..3
%e ..2..2..1..0..2....0..2..3..3..0....2..1..2..2..1....1..2..2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2014
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