A196287 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 2,0,3,1,4 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, 882, 882, 259, 123, 25, 37, 243, 728, 2998, 3621, 2998, 728, 243, 37, 54, 471, 1800, 13533, 22971, 22971, 13533, 1800, 471, 54, 79, 924, 4696, 57281

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 3's, every 3 is next to 3 1's, every 4 is next to 4 4'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......882......2998.......13533........57281.........234589

..8..34...111....882.....3621.....22971......138924.......684002........3547662

.12..62...259...2998....22971....193137.....1306488.....10441374.......87352550

.17.123...728..13533...138924...1306488....13307143....182868341.....2172296568

.25.243..1800..57281...684002..10441374...182868341...3369153109....48734434499

.37.471..4696.234589..3547662..87352550..2172296568..48734434499..1022753961763

.54.924.12185.894628.21119073.710287441.23151489546.745373469270.25671148871894

Links

R. H. Hardin, Table of n, a(n) for n = 1..219

Example

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

Crossrefs

Column 1 is A179070(n+2)

Column 2 is A196140

Sequence in context: A196477 A196146 A196314 * A196337 A349784 A298200

Adjacent sequences: A196284 A196285 A196286 * A196288 A196289 A196290

Keyword

nonn,tabl

Author

R. H. Hardin Sep 30 2011

Status

approved