A221400 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2

0, 0, 0, 0, 1, 0, 0, 6, 7, 0, 0, 56, 30, 38, 0, 0, 324, 2110, 144, 190, 0, 0, 2196, 26374, 89173, 672, 918, 0, 0, 13328, 681300, 2294372, 3658806, 3108, 4367, 0, 0, 83680, 11554698, 247200529, 197166544, 149231797, 14328, 20623, 0, 0, 512752, 239213277

Offset

1,8

Comments

Table starts

.0.....0.....0..........0...........0...........0...........0............0

.0.....1.....6.........56.........324........2196.......13328........83680

.0.....7....30.......2110.......26374......681300....11554698....239213277

.0....38...144......89173.....2294372...247200529.10874636860.776880319370

.0...190...672....3658806...197166544.88363857581

.0...918..3108..149231797.16996641648

.0..4367.14328.6054851040

.0.20623.65976

.0.97052

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 2 is A217340

Sequence in context: A268144 A113550 A370738 * A330157 A225962 A011098

Adjacent sequences: A221397 A221398 A221399 * A221401 A221402 A221403

Keyword

nonn,tabl

Author

R. H. Hardin Jan 15 2013

Status

approved