A221361 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2

0, 0, 0, 0, 5, 0, 0, 39, 39, 0, 0, 292, 791, 292, 0, 0, 2088, 18738, 18738, 2088, 0, 0, 14799, 410571, 1388784, 410571, 14799, 0, 0, 104532, 9021576, 93433746, 93433746, 9021576, 104532, 0, 0, 737498, 197291655, 6308646549, 18970881500, 6308646549

Offset

1,5

Comments

Table starts

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

.0.......5.........39..........292..........2088.........14799..........104532

.0......39........791........18738........410571.......9021576.......197291655

.0.....292......18738......1388784......93433746....6308646549....423812250312

.0....2088.....410571.....93433746...18970881500.3872954657964.786996595093490

.0...14799....9021576...6308646549.3872954657964

.0..104532..197291655.423812250312

.0..737498.4313255090

.0.5200799

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Sequence in context: A019178 A263913 A075534 * A083527 A221240 A113038

Adjacent sequences: A221358 A221359 A221360 * A221362 A221363 A221364

Keyword

nonn,tabl

Author

R. H. Hardin Jan 12 2013

Status

approved