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%I #4 Dec 13 2014 20:49:47
%S 295,943,3326,11186,38374,132875,457442,1580135,5473377,18930754,
%T 65456340,226502034,783890677,2712485616,9385945117,32480412447,
%U 112404447736,389000283088,1346233221024,4659079372785,16124670165786
%N Number of (n+2)X(3+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 or 4
%C Column 3 of A252088
%H R. H. Hardin, <a href="/A252083/b252083.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -8*a(n-2) +31*a(n-3) -46*a(n-4) -30*a(n-5) -238*a(n-6) -338*a(n-7) +318*a(n-8) +1332*a(n-9) +3970*a(n-10) +3841*a(n-11) -2401*a(n-12) -15360*a(n-13) -24500*a(n-14) -6584*a(n-15) +32113*a(n-16) +50465*a(n-17) +6658*a(n-18) -54545*a(n-19) -40309*a(n-20) +34108*a(n-21) +92882*a(n-22) +54935*a(n-23) -66171*a(n-24) -137823*a(n-25) -87689*a(n-26) +35941*a(n-27) +110894*a(n-28) +83622*a(n-29) +8828*a(n-30) -42389*a(n-31) -45791*a(n-32) -24569*a(n-33) -3451*a(n-34) +9236*a(n-35) +12522*a(n-36) +9282*a(n-37) +3964*a(n-38) +40*a(n-39) -1136*a(n-40) -1008*a(n-41) -440*a(n-42) -144*a(n-43) -16*a(n-44) for n>46
%e Some solutions for n=4
%e ..0..0..0..0..0....2..2..2..2..2....0..0..2..0..0....0..2..0..0..0
%e ..0..0..0..0..0....2..1..2..2..2....2..0..0..2..0....2..0..0..2..0
%e ..2..0..0..0..0....2..2..2..2..1....0..0..0..0..2....0..0..0..0..0
%e ..0..0..0..0..0....1..2..2..2..2....0..0..0..0..0....0..0..0..0..2
%e ..0..0..0..0..2....2..2..2..2..2....0..0..0..2..0....0..0..0..0..0
%e ..2..0..0..2..0....2..2..2..2..2....0..2..0..0..0....0..2..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 13 2014
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