A217346 T(n,k) = Number of n X k arrays of occupancy after each element moves to some horizontal or vertical neighbor but without 2-loops.

0, 0, 0, 0, 1, 0, 0, 7, 7, 0, 0, 38, 144, 38, 0, 0, 190, 2389, 2389, 190, 0, 0, 918, 37114, 120908, 37114, 918, 0, 0, 4367, 561573, 5756974, 5756974, 561573, 4367, 0, 0, 20623, 8399702, 267947653, 838126848, 267947653, 8399702, 20623, 0, 0, 97052, 124988061

Offset

1,8

Comments

Table starts

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

.0.......1...........7.............38..............190...............918

.0.......7.........144...........2389............37114............561573

.0......38........2389.........120908..........5756974.........267947653

.0.....190.......37114........5756974........838126848......119394609842

.0.....918......561573......267947653.....119394609842....52019083898820

.0....4367.....8399702....12350550690...16858052804062.22467362744958042

.0...20623...124988061...566789163488.2371064003849290

.0...97052..1855434240.25958450760849

.0..455960.27513859347

.0.2140404

.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Sequence in context: A274210 A105167 A217227 * A109938 A372609 A215735

Adjacent sequences: A217343 A217344 A217345 * A217347 A217348 A217349

Keyword

nonn,tabl

Author

R. H. Hardin Oct 01 2012

Status

approved