A251858 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

Offset

1,1

Comments

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

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Formula

Empirical for column k:

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

Example

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

Crossrefs

Sequence in context: A205175 A205274 A234790 * A251854 A203055 A031621

Adjacent sequences: A251855 A251856 A251857 * A251859 A251860 A251861

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2014

Status

approved