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%I #4 Dec 14 2014 14:00:37
%S 5090,3073,5440,4416,9443,8964,21375,18900,49770,41768,119013,96890,
%T 286629,226328,711232,538534,1772259,1320292,4456963,3253910,11342342,
%U 8103478,28972257,20505766,74345217,52088960,191878288,133068656
%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 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7
%C Column 3 of A252148
%H R. H. Hardin, <a href="/A252143/b252143.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-2) +3*a(n-3) +a(n-4) -9*a(n-5) -2*a(n-6) -3*a(n-7) -6*a(n-8) +3*a(n-9) -8*a(n-10) +27*a(n-11) +3*a(n-12) +27*a(n-13) +2*a(n-14) -12*a(n-15) -33*a(n-17) +a(n-18) -27*a(n-19) +6*a(n-20) +9*a(n-21) +8*a(n-22) +15*a(n-23) -2*a(n-24) +3*a(n-25) -5*a(n-26) -3*a(n-27) -a(n-28) +a(n-30) for n>36
%e Some solutions for n=4
%e ..3..0..3..2..0....2..0..3..0..2....0..2..1..2..0....3..3..1..3..3
%e ..3..0..3..3..0....1..3..1..3..3....0..0..3..0..0....3..0..3..0..3
%e ..1..3..1..1..3....3..0..3..0..2....3..3..1..3..3....1..3..1..3..1
%e ..3..0..3..3..0....1..3..1..3..1....2..3..1..3..2....3..0..3..0..2
%e ..3..0..3..3..0....2..0..3..0..2....0..0..3..0..0....1..3..1..3..3
%e ..1..3..1..1..3....0..2..1..3..3....3..2..2..3..1....3..0..3..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 14 2014
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