A204153 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

689, 3902, 3902, 22262, 28982, 22262, 127022, 156494, 156494, 127022, 724154, 891662, 844136, 891662, 724154, 4128422, 5117114, 4683434, 4683434, 5117114, 4128422, 23538722, 29610374, 26968208, 26497814, 26968208, 29610374, 23538722

Offset

1,1

Comments

Table starts

.......689......3902......22262......127022.......724154......4128422

......3902.....28982.....156494......891662......5117114.....29610374

.....22262....156494.....844136.....4683434.....26968208....152500334

....127022....891662....4683434....26497814....146747822....826613438

....724154...5117114...26968208...146747822....839477288...4563772922

...4128422..29610374..152500334...826613438...4563772922..25723818038

..23538722.169527242..864266300..4577683574..25275772916.138134688554

.134209022.970408838.4899355202.25733247662.139642744838.761533538294

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions for n=4 k=3
..0..0..0..0..0....0..0..0..1..1....0..0..0..1..1....0..1..2..1..1
..1..0..0..0..2....0..0..0..0..0....0..0..1..0..0....0..2..1..1..0
..0..0..0..0..2....0..0..0..0..0....1..1..0..0..0....2..0..1..1..0
..0..0..0..2..0....0..0..0..0..2....1..0..0..0..0....0..1..0..0..1
..0..0..2..0..0....0..0..0..2..2....0..0..0..0..1....1..0..0..0..1
..2..2..0..1..1....0..0..2..1..0....0..0..1..0..0....0..0..1..2..0

Crossrefs

Sequence in context: A057116 A025355 A025347 * A204146 A259512 A078877

Adjacent sequences: A204150 A204151 A204152 * A204154 A204155 A204156

Keyword

nonn,tabl

Author

R. H. Hardin Jan 11 2012

Status

approved