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%I #4 Dec 16 2014 07:43:46
%S 1072,1331,1331,965,1016,965,972,562,562,972,1086,512,596,512,1086,
%T 1187,570,778,778,570,1187,1468,782,1260,1316,1260,782,1468,1936,1178,
%U 1636,1958,1958,1636,1178,1936,2388,1670,2478,2660,3530,2660,2478,1670,2388
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 3 6 or 7
%C Table starts
%C .1072.1331..965...972..1086...1187...1468....1936....2388....3052.....4008
%C .1331.1016..562...512...570....782...1178....1670....2474....3890.....5642
%C ..965..562..596...778..1260...1636...2478....3940....5958....9178....14534
%C ..972..512..778..1316..1958...2660...4490....7250...10634...17954....28994
%C .1086..570.1260..1958..3530...6072..11762...21346...39202...80834...147842
%C .1187..782.1636..2660..6072...9836..17774...38612...70970..132530...284490
%C .1468.1178.2478..4490.11762..17774..33218...84866..142178..265730...678914
%C .1936.1670.3940..7250.21346..38612..84866..252162..478370.1145858..3467266
%C .2388.2474.5958.10634.39202..70970.142178..478370.1017410.2120450..6956290
%C .3052.3890.9178.17954.80834.132530.265730.1145858.2120450.4251650.18333698
%H R. H. Hardin, <a href="/A252260/b252260.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-3) +a(n-5) -8*a(n-6) -4*a(n-8) +4*a(n-9) +5*a(n-11) -2*a(n-14) for n>27
%F k=2: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -8*a(n-6) +8*a(n-7) for n>12
%F k=3: a(n) = a(n-1) +6*a(n-3) -6*a(n-4) -8*a(n-6) +8*a(n-7) for n>12
%F k=4: a(n) = a(n-1) +4*a(n-3) -4*a(n-4) for n>9
%F k=5: a(n) = a(n-1) +12*a(n-3) -12*a(n-4) -32*a(n-6) +32*a(n-7) for n>12
%F k=6: a(n) = a(n-1) +12*a(n-3) -12*a(n-4) -32*a(n-6) +32*a(n-7) for n>12
%F k=7: a(n) = a(n-1) +8*a(n-3) -8*a(n-4) for n>9
%e Some solutions for n=4 k=4
%e ..1..1..3..1..1..3....2..1..2..2..1..2....2..2..0..2..2..1....3..0..2..3..3..2
%e ..3..0..1..0..0..1....3..2..3..3..2..3....3..3..2..3..3..2....2..2..0..2..2..1
%e ..0..0..1..0..0..1....3..2..3..3..2..3....3..3..2..3..3..2....3..3..2..3..3..2
%e ..1..1..3..1..1..2....2..1..2..2..0..2....2..2..0..2..2..0....3..3..2..3..3..2
%e ..0..0..1..0..0..1....3..2..3..3..2..3....3..3..2..3..3..2....2..2..1..2..2..0
%e ..0..0..1..0..3..2....3..2..3..3..2..3....0..3..2..3..0..2....3..3..2..3..3..2
%Y Column 4 is A251890 for n>2
%Y Column 5 is A251891 for n>2
%Y Column 6 is A251892 for n>2
%Y Column 7 is A251893 for n>2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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