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%I #4 Dec 09 2014 21:20:08
%S 2506,23664,23664,245388,459952,245388,2525037,10413561,10413561,
%T 2525037,25675786,216245728,486474024,216245728,25675786,261035198,
%U 4504504613,20861600041,20861600041,4504504613,261035198,2662774377,95484824630
%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 4 or more
%C Table starts
%C ......2506.......23664.........245388...........2525037............25675786
%C .....23664......459952.......10413561.........216245728..........4504504613
%C ....245388....10413561......486474024.......20861600041........909671877740
%C ...2525037...216245728....20861600041.....1840787119956.....164065118611251
%C ..25675786..4504504613...909671877740...164065118611251...30114419119137959
%C .261035198.95484824630.40053572127963.14820877153549049.5617708908976133175
%H R. H. Hardin, <a href="/A251858/b251858.txt">Table of n, a(n) for n = 1..70</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 54] for n>60
%e Some solutions for n=1 k=4
%e ..0..0..0..1..0..2....0..0..1..0..1..1....0..0..0..1..1..1....0..0..1..1..0..0
%e ..0..0..0..0..0..0....1..0..1..1..1..1....1..0..1..1..1..1....0..0..0..1..1..0
%e ..0..0..2..0..0..0....0..1..0..1..0..1....0..0..1..1..0..1....0..1..2..0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 09 2014
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