A197450 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 2,1,1,0,0 for x=0,1,2,3,4

1, 2, 2, 3, 5, 3, 4, 12, 12, 4, 7, 36, 81, 36, 7, 11, 107, 474, 474, 107, 11, 16, 321, 2678, 4837, 2678, 321, 16, 26, 957, 15410, 52117, 52117, 15410, 957, 26, 41, 2868, 88767, 585194, 1108699, 585194, 88767, 2868, 41, 62, 8581, 510482, 6455759, 23829080

Offset

1,2

Comments

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

Table starts

..1.....2........3..........4.............7...............11

..2.....5.......12.........36...........107..............321

..3....12.......81........474..........2678............15410

..4....36......474.......4837.........52117...........585194

..7...107.....2678......52117.......1108699.........23829080

.11...321....15410.....585194......23829080........982926107

.16...957....88767....6455759.....504568165......40087361395

.26..2868...510482...71202438...10724642167....1640477445822

.41..8581..2936714..787298158..228248265080...67160665746869

.62.25694.16895217.8700460833.4853181015432.2747685400705119

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Column 1 is A113435(n+1)

Sequence in context: A196696 A196729 A197069 * A240406 A303682 A304133

Adjacent sequences: A197447 A197448 A197449 * A197451 A197452 A197453

Keyword

nonn,tabl

Author

R. H. Hardin Oct 15 2011

Status

approved