A196707 T(n,k) = Number of n X k 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,1,0,4,2 for x=0,1,2,3,4.

1, 2, 2, 4, 11, 4, 6, 38, 38, 6, 12, 136, 207, 136, 12, 22, 488, 1366, 1366, 488, 22, 40, 1744, 8672, 16676, 8672, 1744, 40, 74, 6208, 55436, 193326, 193326, 55436, 6208, 74, 136, 22202, 353591, 2264381, 4114365, 2264381, 353591, 22202, 136, 250, 79292

Offset

1,2

Comments

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

Table starts

...1......2........4...........6.............12...............22

...2.....11.......38.........136............488.............1744

...4.....38......207........1366...........8672............55436

...6....136.....1366.......16676.........193326..........2264381

..12....488.....8672......193326........4114365.........88057485

..22...1744....55436.....2264381.......88057485.......3444722540

..40...6208...353591....26495227.....1883754015.....134682461126

..74..22202..2257739...310276380....40313628190....5269250186071

.136..79292.14423220..3632827590...862817869506..206166859931473

.250.282984.92115943.42527506151.18466264182264.8065792226445503

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=6, k=4
..0..0..0..0....0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..0
..0..0..0..1....0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..0
..0..1..2..1....1..1..0..2....2..2..0..2....0..1..2..0....0..0..0..0
..0..1..0..0....0..2..0..1....0..1..1..0....0..1..2..0....2..2..0..0
..0..0..0..0....1..1..0..1....2..0..2..2....2..0..0..0....0..1..1..0
..2..0..0..0....0..0..0..0....1..1..0..0....1..1..2..0....0..2..0..0

Crossrefs

Sequence in context: A270549 A321204 A196856 * A196950 A295847 A296739

Adjacent sequences: A196704 A196705 A196706 * A196708 A196709 A196710

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 05 2011

Status

approved