A221890 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops or left turns

0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 37, 0, 0, 0, 0, 169, 202, 90, 0, 0, 0, 811, 2722, 4137, 204, 0, 0, 0, 3878, 31881, 154458, 56313, 1297, 0, 0, 0, 18502, 416630, 5488703, 5408074, 760578, 4608, 0, 0, 0, 88302, 5496803, 201212852, 537483861, 216702488, 10743570

Offset

1,8

Comments

Table starts

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

.0.0.....8.......37.......169.......811........3878......18502....88302.421463

.0.0.....0......202......2722.....31881......416630....5496803.71900708

.0.0....90.....4137....154458...5488703...201212852.7816225089

.0.0...204....56313...5408074.537483861.57983867320

.0.0..1297...760578.216702488

.0.0..4608.10743570

.0.0.23159

.0.0

.0

Links

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

Example

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

Crossrefs

Sequence in context: A028608 A028600 A299165 * A047758 A186980 A171918

Adjacent sequences: A221887 A221888 A221889 * A221891 A221892 A221893

Keyword

nonn,tabl

Author

R. H. Hardin Jan 30 2013

Status

approved