A196314 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 2,0,4,1,3 for x=0,1,2,3,4

1, 3, 3, 4, 5, 4, 5, 8, 8, 5, 8, 17, 7, 17, 8, 12, 34, 50, 50, 34, 12, 17, 62, 111, 335, 111, 62, 17, 25, 123, 259, 866, 866, 259, 123, 25, 37, 243, 728, 2942, 3349, 2942, 728, 243, 37, 54, 471, 1800, 13277, 21545, 21545, 13277, 1800, 471, 54, 79, 924, 4696, 56237

Offset

1,2

Comments

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

Table starts

..1...3.....4......5........8........12..........17...........25.............37

..3...5.....8.....17.......34........62.........123..........243............471

..4...8.....7.....50......111.......259.........728.........1800...........4696

..5..17....50....335......866......2942.......13277........56237.........228881

..8..34...111....866.....3349.....21545......132202.......626170........3119098

.12..62...259...2942....21545....184217.....1194982......9309294.......76576666

.17.123...728..13277...132202...1194982....11575179....157085533.....1846682222

.25.243..1800..56237...626170...9309294...157085533...2915102103....39702002789

.37.471..4696.228881..3119098..76576666..1846682222..39702002789...766706823953

.54.924.12185.862148.18588893.617482227.18830197948.572455060274.18768948409278

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

Some solutions for n=6 k=4
..1..0..0..1....1..0..0..1....1..1..0..1....1..1..0..1....0..1..3..1
..1..0..0..1....1..3..1..1....0..1..1..1....0..1..1..1....0..1..1..0
..1..0..0..1....0..1..1..0....1..3..1..0....0..1..1..0....0..1..3..0
..1..1..1..1....0..1..1..0....1..3..1..0....0..1..3..1....0..1..1..0
..0..3..1..0....0..1..1..0....0..1..3..0....0..1..3..1....0..1..3..0
..0..1..3..1....0..1..1..0....0..1..1..0....1..3..1..0....1..3..1..0

Crossrefs

Column 1 is A179070(n+2)

Column 2 is A196140

Column 3 is A196282

Sequence in context: A196210 A196477 A196146 * A196287 A196337 A349784

Adjacent sequences: A196311 A196312 A196313 * A196315 A196316 A196317

Keyword

nonn,tabl

Author

R. H. Hardin Oct 01 2011

Status

approved