%I #4 Dec 16 2014 19:49:05
%S 6089,6222,10070,22016,68675,180469,503439,1603276,4554309,13198911,
%T 42321262,123032456,365923870,1183764527,3477836469,10490088213,
%U 34100824690,100813753401,306346399367,998375745118,2961333456864
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8
%C Column 3 of A252334
%H R. H. Hardin, <a href="/A252329/b252329.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 58*a(n-3) -1122*a(n-6) +10005*a(n-9) -54999*a(n-12) +226911*a(n-15) -741086*a(n-18) +1816623*a(n-21) -3182005*a(n-24) +3900573*a(n-27) -3282696*a(n-30) +1827728*a(n-33) -630683*a(n-36) +121014*a(n-39) -10608*a(n-42) +288*a(n-45) for n>50
%e Some solutions for n=4
%e ..3..0..2..3..3....2..3..3..2..3....0..3..2..3..1....2..3..3..2..0
%e ..0..3..2..3..3....2..2..2..1..2....3..3..2..0..3....1..2..2..1..2
%e ..2..2..1..2..2....2..0..3..2..3....2..2..1..2..2....2..3..0..2..3
%e ..3..3..2..3..0....2..3..0..2..3....3..3..2..3..3....2..0..3..2..3
%e ..0..3..2..3..3....1..2..2..1..2....3..3..2..0..3....1..2..2..1..2
%e ..2..2..1..2..2....2..0..3..2..1....2..2..1..2..2....2..3..3..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 16 2014