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%I #4 Dec 16 2014 20:15:32
%S 52,108,108,234,268,234,538,810,810,538,1202,2242,2978,2242,1202,2612,
%T 6030,10154,10154,6030,2612,5706,16676,34894,43708,34894,16676,5706,
%U 12616,46154,120474,184434,184434,120474,46154,12616,27880,126892,413478
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4
%C Table starts
%C ....52....108......234.......538.......1202........2612.........5706
%C ...108....268......810......2242.......6030.......16676........46154
%C ...234....810.....2978.....10154......34894......120474.......413478
%C ...538...2242....10154.....43708.....184434......783852......3338572
%C ..1202...6030....34894....184434.....960912.....5095514.....26921266
%C ..2612..16676...120474....783852....5095514....33579112....220263010
%C ..5706..46154...413478...3338572...26921266...220263010...1793526072
%C .12616.126892..1423482..14229718..142055830..1445238050..14603098032
%C .27880.349380..4910062..60618068..751350674..9499896738.119141197236
%C .61330.963126.16902314.258032046.3970616096.62363110396.970914856560
%H R. H. Hardin, <a href="/A252343/b252343.txt">Table of n, a(n) for n = 1..390</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +3*a(n-3) +4*a(n-4) +4*a(n-5) +2*a(n-6) for n>7
%F k=2: [order 8] for n>9
%F k=3: [order 15] for n>17
%F k=4: [order 23] for n>25
%F k=5: [order 43] for n>45
%F k=6: [order 71] for n>73
%e Some solutions for n=4 k=4
%e ..0..0..0..0..1..0....1..0..0..0..1..0....1..2..2..2..2..1....2..2..2..2..1..2
%e ..0..0..0..0..0..0....0..0..0..0..0..1....2..2..2..2..2..2....2..2..2..2..2..2
%e ..0..0..0..1..0..0....0..0..0..1..0..0....2..1..2..2..1..2....2..2..2..2..2..2
%e ..0..0..0..0..0..1....0..0..0..0..0..0....2..2..2..2..2..2....2..2..2..2..2..1
%e ..0..0..1..0..0..0....1..0..0..0..0..0....2..2..2..2..2..2....2..2..2..1..2..2
%e ..1..0..0..0..0..0....0..1..0..0..0..1....2..2..2..2..2..1....1..2..2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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