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%I #5 Dec 16 2014 13:53:21
%S 943,856,856,976,436,976,1481,637,637,1481,2079,1327,1663,1327,2079,
%T 3265,3267,5257,5257,3267,3265,5676,8740,18047,22766,18047,8740,5676,
%U 10939,24071,62277,96481,96481,62277,24071,10939,21842,66114,213689,409028
%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 0 2 3 6 or 7
%C Table starts
%C ...943....856.....976......1481.......2079........3265.........5676
%C ...856....436.....637......1327.......3267........8740........24071
%C ...976....637....1663......5257......18047.......62277.......213689
%C ..1481...1327....5257.....22766......96481......409028......1741344
%C ..2079...3267...18047.....96481.....503968.....2670175.....14105069
%C ..3265...8740...62277....409028....2670175....17562129....115183261
%C ..5676..24071..213689...1741344...14105069...115183261....937980660
%C .10939..66114..735011...7424211...74389231...755607636...7634089505
%C .21842.181896.2535415..31630024..393421141..4967204787..62282795715
%C .45450.501355.8731891.134638253.2079994010.32613906904.507708323758
%H R. H. Hardin, <a href="/A252295/b252295.txt">Table of n, a(n) for n = 1..391</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 25] for n>30
%F k=2: [order 9] for n>17
%F k=3: [order 16] for n>20
%F k=4: [order 24] for n>27
%F k=5: [order 44] for n>46
%F k=6: [order 72] for n>74
%e Some solutions for n=4 k=4
%e ..3..2..3..3..3..3....3..3..2..3..3..3....3..2..3..3..3..3....2..3..3..3..2..3
%e ..2..3..3..3..3..2....3..3..3..3..3..3....3..3..3..2..3..3....3..3..3..3..3..2
%e ..3..3..2..3..3..3....3..3..3..3..3..3....2..3..3..3..3..2....3..3..3..3..3..3
%e ..3..3..3..3..3..3....2..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..3..3
%e ..3..3..3..3..3..3....3..3..3..3..3..3....3..3..3..3..2..3....2..3..3..3..3..3
%e ..3..3..3..3..2..3....3..3..3..3..3..3....3..2..3..3..3..3....3..2..3..3..2..3
%Y Diagonal matches A252131 for n>3
%Y Column 2 matches A252133 for n>8
%Y Column 3 matches A252134 for n>4
%Y Column 4 matches A252135 for n>3
%Y Column 5 matches A252136 for n>2
%Y Column 6 matches A252137 for n>2
%Y Column 7 matches A252138 for n>2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 16 2014
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