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R. H. Hardin, <a href="/A251858/b251858.txt">Table of n, a(n) for n = 1..70</a>

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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

2506, 23664, 23664, 245388, 459952, 245388, 2525037, 10413561, 10413561, 2525037, 25675786, 216245728, 486474024, 216245728, 25675786, 261035198, 4504504613, 20861600041, 20861600041, 4504504613, 261035198, 2662774377, 95484824630

1,1

Table starts

......2506.......23664.........245388...........2525037............25675786

.....23664......459952.......10413561.........216245728..........4504504613

....245388....10413561......486474024.......20861600041........909671877740

...2525037...216245728....20861600041.....1840787119956.....164065118611251

..25675786..4504504613...909671877740...164065118611251...30114419119137959

.261035198.95484824630.40053572127963.14820877153549049.5617708908976133175

Empirical for column k:

k=1: [linear recurrence of order 54] for n>60

Some solutions for n=1 k=4

..0..0..0..1..0..2....0..0..1..0..1..1....0..0..0..1..1..1....0..0..1..1..0..0

..0..0..0..0..0..0....1..0..1..1..1..1....1..0..1..1..1..1....0..0..0..1..1..0

..0..0..2..0..0..0....0..1..0..1..0..1....0..0..1..1..0..1....0..1..2..0..1..1

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nonn,tabl

R. H. Hardin, Dec 09 2014

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