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%I #4 Dec 10 2014 10:33:18
%S 1280,1664,1664,1280,1232,1280,1280,602,602,1280,1534,530,556,530,
%T 1534,1752,594,778,778,594,1752,2146,790,1260,1316,1260,790,2146,2838,
%U 1182,1636,1958,1958,1636,1182,2838,3446,1670,2478,2660,3530,2660,2478,1670
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7
%C Table starts
%C .1280.1664.1280..1280..1534...1752...2146....2838....3446....4406.....5830
%C .1664.1232..602...530...594....790...1182....1670....2474....3890.....5642
%C .1280..602..556...778..1260...1636...2478....3940....5958....9178....14534
%C .1280..530..778..1316..1958...2660...4490....7250...10634...17954....28994
%C .1534..594.1260..1958..3530...6072..11762...21346...39202...80834...147842
%C .1752..790.1636..2660..6072...9836..17774...38612...70970..132530...284490
%C .2146.1182.2478..4490.11762..17774..33218...84866..142178..265730...678914
%C .2838.1670.3940..7250.21346..38612..84866..252162..478370.1145858..3467266
%C .3446.2474.5958.10634.39202..70970.142178..478370.1017410.2120450..6956290
%C .4406.3890.9178.17954.80834.132530.265730.1145858.2120450.4251650.18333698
%H R. H. Hardin, <a href="/A251894/b251894.txt">Table of n, a(n) for n = 1..511</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>22
%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>14
%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 ..2..1..2..2..1..2....3..3..2..3..0..1....3..0..2..3..3..2....1..3..0..1..0..3
%e ..3..2..3..3..2..3....3..3..2..3..3..2....2..2..0..2..2..1....1..0..0..1..0..0
%e ..3..2..3..3..2..3....2..2..0..2..2..1....3..3..2..3..3..2....2..1..1..3..1..1
%e ..2..0..2..2..0..2....3..3..2..3..3..2....3..3..2..3..3..2....1..0..0..1..0..0
%e ..0..2..3..3..2..3....0..3..2..3..3..2....2..2..0..2..2..1....1..0..0..1..0..3
%e ..3..2..3..3..2..3....2..2..1..2..2..1....3..3..2..3..3..2....2..1..1..2..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 10 2014
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