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%I #4 Dec 17 2014 10:44:05
%S 1142,1033,1810,3954,9643,24024,59977,153283,389066,994207,2583468,
%T 6641473,17166060,45035698,116572494,303313550,800157489,2078949610,
%U 5429352825,14366800297,37404613287,97882351085,259440365356
%N Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7
%C Column 3 of A252433
%H R. H. Hardin, <a href="/A252428/b252428.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 32*a(n-3) -310*a(n-6) +1303*a(n-9) -4922*a(n-12) +13079*a(n-15) -25229*a(n-18) +39325*a(n-21) -43233*a(n-24) +23521*a(n-27) -1301*a(n-30) -2920*a(n-33) +769*a(n-36) -101*a(n-39) -22*a(n-42) +11*a(n-45) -a(n-48) for n>51
%e Some solutions for n=4
%e ..2..0..2..2..3....0..2..2..3..2....2..2..0..2..2....1..3..3..1..0
%e ..3..3..1..0..3....2..3..2..2..0....1..3..3..1..3....2..3..2..2..3
%e ..3..2..2..3..2....3..0..1..3..3....2..3..2..2..3....2..2..3..2..2
%e ..2..3..2..2..0....3..2..2..0..2....2..2..3..2..2....1..0..3..1..3
%e ..0..3..1..3..3....2..3..2..2..3....1..3..3..1..3....2..3..2..2..0
%e ..3..2..2..0..2....0..3..1..3..3....2..3..2..2..3....2..2..0..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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