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%I #4 Dec 06 2014 10:47:27
%S 376,448,448,738,908,738,1248,1928,1928,1248,2382,4008,4522,4008,2382,
%T 4140,10248,9918,9918,10248,4140,6978,22904,31022,24706,31022,22904,
%U 6978,13532,49956,74194,98306,98306,74194,49956,13532,23574,129296,163318
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9
%C Table starts
%C ...376....448.....738.....1248......2382.......4140.......6978........13532
%C ...448....908....1928.....4008.....10248......22904......49956.......129296
%C ...738...1928....4522.....9918.....31022......74194.....163318.......509054
%C ..1248...4008....9918....24706.....98306.....245842.....610082......2470626
%C ..2382..10248...31022....98306....482506....1563586....5248890.....25151338
%C ..4140..22904...74194...245842...1563586....5167050...17185778....108553714
%C ..6978..49956..163318...610082...5248890...17185778...63447690....562400186
%C .13532.129296..509054..2470626..25151338..108553714..562400186...5347152010
%C .23574.300656.1221194..6167962..86588602..360921738.1826236602..25341349658
%C .39904.689192.2704574.15277218.309874186.1210167730.6707952986.141755834794
%H R. H. Hardin, <a href="/A251652/b251652.txt">Table of n, a(n) for n = 1..511</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) -7*a(n-4) -12*a(n-5) +6*a(n-6) +6*a(n-7) for n>14
%F k=2: [order 9] for n>15
%F k=3: [order 9] for n>13
%F k=4: a(n) = 3*a(n-1) +23*a(n-3) -77*a(n-4) +78*a(n-6) -26*a(n-7) for n>11
%F k=5: [order 11] for n>14
%F k=6: [order 11] for n>15
%F k=7: [order 8] for n>13
%e Some solutions for n=4 k=4
%e ..1..0..2..1..0..2....2..1..0..2..1..0....3..0..3..0..3..0....1..1..1..1..1..1
%e ..1..3..2..1..3..2....3..2..1..3..2..1....1..1..1..1..1..1....3..0..3..0..3..0
%e ..1..0..2..1..0..2....1..0..2..1..3..2....2..2..2..2..2..2....2..2..2..2..2..2
%e ..1..3..2..1..0..2....2..1..3..2..1..0....3..3..0..3..3..0....1..1..1..1..1..1
%e ..1..0..2..1..3..2....0..2..1..0..2..1....1..1..1..1..1..1....3..0..3..3..0..0
%e ..1..0..2..1..3..2....1..0..2..1..0..2....2..2..2..2..2..2....2..2..2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 06 2014
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