A198532 T(n,k)=Number of 2nX2k 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly one horizontal or vertical neighbor

2, 12, 12, 76, 206, 76, 492, 3838, 3838, 492, 3212, 74582, 213328, 74582, 3212, 21036, 1481214, 12510524, 12510524, 1481214, 21036, 137932, 29737425, 757941274, 2223874372, 757941274, 29737425, 137932, 904812, 600187403, 46796529288

Offset

1,1

Comments

Table starts

......2........12..........76..........492.........3212..........21036

.....12.......206........3838........74582......1481214.......29737425

.....76......3838......213328.....12510524....757941274....46796529288

....492.....74582....12510524...2223874372.411119156729.77956630302044

...3212...1481214...757941274.411119156729

..21036..29737425.46796529288

.137932.600187403

.904812

Links

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

Example

Some solutions for n=5 k=3
..0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..1..0..0
..1..1..0..0..1..1....1..1..0..0..1..1....1..1..0..0..1..1....1..1..0..0..1..1
..0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..1..0..0
..1..1..0..0..2..1....1..1..0..0..1..1....1..1..0..0..1..1....1..1..0..0..2..2
..0..0..1..1..2..1....0..0..1..1..2..2....0..0..1..1..0..2....0..0..1..1..0..0
..1..1..0..0..1..2....1..1..2..0..1..1....1..1..2..2..0..2....2..1..0..0..2..2
..0..0..2..2..1..2....0..0..2..0..2..0....0..2..0..1..2..1....2..1..2..1..0..1
..1..1..0..1..2..1....2..2..1..1..2..0....0..2..0..1..2..1....0..0..2..1..0..1
..2..2..0..1..2..1....1..0..2..2..1..1....2..0..1..2..0..2....1..2..1..0..2..2
..0..0..2..2..0..0....1..0..1..1..2..2....2..0..1..2..0..2....1..2..1..0..1..1

Crossrefs

Column 1 is A198474

Sequence in context: A251421 A226393 A371375 * A198477 A075178 A145618

Adjacent sequences: A198529 A198530 A198531 * A198533 A198534 A198535

Keyword

nonn,tabl

Author

R. H. Hardin Oct 26 2011

Status

approved