A197623 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 0,3,1,1,1 for x=0,1,2,3,4

1, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 27, 27, 8, 0, 0, 32, 27, 98, 27, 32, 0, 0, 16, 154, 242, 242, 154, 16, 0, 0, 64, 272, 863, 1904, 863, 272, 64, 0, 0, 152, 1117, 3157, 8593, 8593, 3157, 1117, 152, 0, 0, 160, 2321, 13712, 59395, 68656, 59395, 13712, 2321, 160

Offset

1,8

Comments

Every 0 is next to 0 0's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 1's

Table starts

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

.0...0....8......0........8........32..........16...........64............152

.0...8....0.....27.......27.......154.........272.........1117...........2321

.0...0...27.....98......242.......863........3157........13712..........55965

.0...8...27....242.....1904......8593.......59395.......330625........1878470

.0..32..154....863.....8593.....68656......714768......5434981.......50877414

.0..16..272...3157....59395....714768.....7646732....116014737.....1664439925

.0..64.1117..13712...330625...5434981...116014737...2574621360....50272429302

.0.152.2321..55965..1878470..50877414..1664439925..50272429302..1530832628932

.0.160.7299.202825.11243393.471428527.21323586168.988650995551.47275579781737

Links

R. H. Hardin, Table of n, a(n) for n = 1..179

Example

Some solutions containing all values 0 to 4 for n=6 k=4
..1..3..1..0....0..1..3..1....1..3..1..2....1..3..1..0....2..1..3..1
..0..1..4..1....2..1..1..0....0..1..4..1....1..1..4..1....1..4..1..0
..1..0..1..3....1..3..0..1....1..0..1..3....3..1..1..3....3..1..4..1
..3..1..0..1....2..1..1..3....3..1..4..1....1..1..1..1....1..0..1..3
..1..4..1..0....0..1..4..1....1..0..1..0....1..3..3..1....1..3..1..1
..2..1..3..1....1..3..1..0....2..1..3..1....2..1..1..2....2..1..2..0

Crossrefs

Sequence in context: A354546 A261117 A098432 * A291692 A127583 A273818

Adjacent sequences: A197620 A197621 A197622 * A197624 A197625 A197626

Keyword

nonn,tabl

Author

R. H. Hardin Oct 16 2011

Status

approved