A221809 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without move-in move-out straight through or left turns

0, 1, 1, 0, 10, 0, 1, 34, 41, 1, 0, 214, 154, 233, 0, 1, 1016, 3906, 3426, 1156, 1, 0, 5429, 32636, 197048, 30716, 6048, 0, 1, 27535, 486331, 5873327, 6328365, 437374, 30973, 1, 0, 142858, 5202774, 239116581, 462706496, 247277805, 4798574, 159968, 0, 1

Offset

1,5

Comments

Table starts

.0......1........0..........1...........0...........1.............0

.1.....10.......34........214........1016........5429.........27535

.0.....41......154.......3906.......32636......486331.......5202774

.1....233.....3426.....197048.....5873327...239116581....8354914378

.0...1156....30716....6328365...462706496.54679689449.5044723744009

.1...6048...437374..247277805.52282482444

.0..30973..4798574.8830682187

.1.159968.60643243

.0.823413

.1

Links

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

Example

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

Crossrefs

Sequence in context: A038689 A030000 A367508 * A291451 A323836 A365893

Adjacent sequences: A221806 A221807 A221808 * A221810 A221811 A221812

Keyword

nonn,tabl

Author

R. H. Hardin Jan 26 2013

Status

approved