A198477 T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to an odd number of horizontal and vertical neighbors.

2, 12, 12, 76, 252, 76, 492, 6104, 6104, 492, 3212, 153222, 636636, 153222, 3212, 21036, 3935188, 72691500, 72691500, 3935188, 21036, 137932, 101884208, 8603604942

Offset

1,1

Comments

Table starts

.....2......12.......76......492.......3212.....21036.137932

....12.....252.....6104...153222....3935188.101884208

....76....6104...636636.72691500.8603604942

...492..153222.72691500

..3212.3935188

.21036

Links

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

Example

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

Crossrefs

Sequence in context: A226393 A371375 A198532 * A075178 A392539 A145618

Adjacent sequences: A198474 A198475 A198476 * A198478 A198479 A198480

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 25 2011

Status

approved