A197180 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 2,2,1,0,0 for x=0,1,2,3,4

1, 1, 1, 2, 5, 2, 3, 10, 10, 3, 4, 23, 41, 23, 4, 6, 58, 150, 150, 58, 6, 9, 144, 665, 969, 665, 144, 9, 13, 363, 2695, 7172, 7172, 2695, 363, 13, 19, 917, 11424, 50864, 92206, 50864, 11424, 917, 19, 28, 2321, 47528, 367813, 1096217, 1096217, 367813, 47528, 2321, 28

Offset

1,4

Comments

Every 0 is next to 0 2's, every 1 is next to 1 2'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....1......2.........3...........4.............6...............9

..1....5.....10........23..........58...........144.............363

..2...10.....41.......150.........665..........2695...........11424

..3...23....150.......969........7172.........50864..........367813

..4...58....665......7172.......92206.......1096217........13530178

..6..144...2695.....50864.....1096217......22335117.......467923636

..9..363..11424....367813....13530178.....467923636.....16686610707

.13..917..47528...2646379...164914460....9715240362....589208849137

.19.2321.199485..19073997..2020163498..202416969329..20885016359231

.28.5878.834267.137434440.24703508188.4212994659413.739404634476424

Links

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

Example

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

Crossrefs

Column 1 is A000930

Sequence in context: A197545 A187017 A083381 * A129396 A274602 A153289

Adjacent sequences: A197177 A197178 A197179 * A197181 A197182 A197183

Keyword

nonn,tabl

Author

R. H. Hardin Oct 11 2011

Status

approved