A204745 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..2 introduced in row major order

1412, 17835, 17835, 225474, 352950, 225474, 2824381, 7146451, 7146451, 2824381, 35428257, 141179471, 236324802, 141179471, 35428257, 445314552, 2839352529, 7481378218, 7481378218, 2839352529, 445314552, 5591644019, 57762265633

Offset

1,1

Comments

Table starts

........1412.........17835........225474........2824381.......35428257

.......17835........352950.......7146451......141179471.....2839352529

......225474.......7146451.....236324802.....7481378218...247265390184

.....2824381.....141179471....7481378218...359921488544.18627221533275

....35428257....2839352529..247265390184.18627221533275

...445314552...57762265633.8360347208200

..5591644019.1169004717315

.70200382115

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

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

Crossrefs

Sequence in context: A187957 A235906 A364184 * A204741 A237742 A143192

Adjacent sequences: A204742 A204743 A204744 * A204746 A204747 A204748

Keyword

nonn,tabl

Author

R. H. Hardin Jan 18 2012

Status

approved