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%I #4 Dec 16 2014 08:12:02
%S 103,130,130,258,272,258,598,822,822,598,1342,2290,3016,2290,1342,
%T 2900,6164,10302,10302,6164,2900,6330,17008,35486,44612,35486,17008,
%U 6330,14024,47094,122506,188690,188690,122506,47094,14024,31000,129530,420420
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7
%C Table starts
%C ...103....130......258.......598.......1342........2900.........6330
%C ...130....272......822......2290.......6164.......17008........47094
%C ...258....822.....3016.....10302......35486......122506.......420420
%C ...598...2290....10302.....44612.....188690......800946......3410622
%C ..1342...6164....35486....188690.....984416.....5217924.....27565694
%C ..2900..17008...122506....800946....5217924....34351677....225314758
%C ..6330..47094...420420...3410622...27565694...225314758...1834743688
%C .14024.129530..1446744..14539062..145417138..1478226653..14935638513
%C .31000.356572..4990438..61939050..769096470..9717153148.121853394325
%C .68154.982904.17183040.263654268.4065302050.63795462094.993165752030
%H R. H. Hardin, <a href="/A252269/b252269.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>8
%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 ..3..3..2..3..3..3....0..0..0..0..1..0....0..0..0..0..0..0....0..1..0..0..0..0
%e ..2..3..3..3..2..3....0..1..0..0..0..0....1..0..0..0..0..1....0..0..0..0..1..0
%e ..3..3..3..3..3..3....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..3..3..3..3..3..3....0..0..0..0..0..0....0..1..0..0..0..0....0..0..0..1..0..0
%e ..3..3..3..3..2..3....0..1..0..0..0..1....0..0..0..0..1..0....1..0..0..0..0..0
%e ..3..2..3..3..3..3....0..0..0..0..1..0....0..0..1..0..0..0....0..0..0..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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