A221388 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2

0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 4, 0, 0, 0, 38, 94, 13, 0, 0, 0, 190, 1450, 1198, 40, 0, 0, 0, 918, 20689, 52320, 15181, 121, 0, 0, 0, 4367, 284702, 2204556, 1829388, 191832, 364, 0, 0, 0, 20623, 3856027, 86673898, 229338911, 63358088, 2420113, 1093, 0, 0, 0

Offset

1,12

Comments

Table starts

.0.0....0........0...........0...............0..................0

.0.0....1........7..........38.............190................918

.0.0....4.......94........1450...........20689.............284702

.0.0...13.....1198.......52320.........2204556...........86673898

.0.0...40....15181.....1829388.......229338911........25415184702

.0.0..121...191832....63358088.....23796035743......7392392443622

.0.0..364..2420113..2188482014...2468313810280...2142967506078650

.0.0.1093.30504742.75538637214.256018996534929.620488065801083664

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

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

Crossrefs

Column 3 is A003462(n-1)

Row 2 is A217340(n-1)

Sequence in context: A112099 A013324 A110792 * A303982 A175998 A329091

Adjacent sequences: A221385 A221386 A221387 * A221389 A221390 A221391

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2013

Status

approved