A198596 T(n,k) = Number of 2n X 2k 0..3 arrays with values 0..3 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors.

2, 17, 17, 272, 2684, 272, 4667, 511661, 511661, 4667, 80702, 101749556, 1208560656, 101749556, 80702, 1397477, 20489929961, 3082580273539, 3082580273539, 20489929961, 1397477, 24207692, 4142124332044, 8057520048724340

Offset

1,1

Comments

Table starts:

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

......17........2684........511661.....101749556......20489929961.4142124332044

.....272......511661....1208560656.3082580273539.8057520048724340

....4667...101749556.3082580273539

...80702.20489929961

.1397477

Links

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

Example

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

Crossrefs

Column 1 is A198287.

Sequence in context: A346391 A153652 A198290 * A198408 A198534 A032936

Adjacent sequences: A198593 A198594 A198595 * A198597 A198598 A198599

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 27 2011

Status

approved