A198290 T(n,k)=Number of 2nX2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to exactly one horizontal and vertical neighbor

2, 17, 17, 272, 2452, 272, 4667, 413375, 413375, 4667, 80702, 72559212, 706120206, 72559212, 80702, 1397477, 12940532183, 1275102148950, 1275102148950, 12940532183, 1397477, 24207692, 2322145946560, 2366880827870877

Offset

1,1

Comments

Table starts

.......2..........17...........272..........4667............80702.......1397477

......17........2452........413375......72559212......12940532183.2322145946560

.....272......413375.....706120206.1275102148950.2366880827870877

....4667....72559212.1275102148950

...80702.12940532183

.1397477

Links

Table of n, a(n) for n=1..24.

Example

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

Crossrefs

Sequence in context: A196732 A346391 A153652 * A198596 A198408 A198534

Adjacent sequences: A198287 A198288 A198289 * A198291 A198292 A198293

Keyword

nonn,tabl

Author

R. H. Hardin Oct 23 2011

Status

approved