A199246 T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or two horizontal or vertical neighbors

1, 1, 1, 1, 2, 1, 3, 2, 2, 3, 6, 12, 6, 12, 6, 5, 36, 25, 25, 36, 5, 19, 39, 110, 440, 110, 39, 19, 37, 288, 472, 2907, 2907, 472, 288, 37, 29, 836, 2080, 7100, 29227, 7100, 2080, 836, 29, 124, 888, 9279, 134821, 106134, 106134, 134821, 9279, 888, 124, 240, 7380, 41704

Offset

1,5

Comments

Table starts

...1....1......1........3..........6..........5..........19..........37

...1....2......2.......12.........36.........39.........288.........836

...1....2......6.......25........110........472........2080........9279

...3...12.....25......440.......2907.......7100......134821......934004

...6...36....110.....2907......29227.....106134.....3190670....34188947

...5...39....472.....7100.....106134....1682457....27337776...454364514

..19..288...2080...134821....3190670...27337776..2013526831.52332203186

..37..836...9279...934004...34188947..454364514.52332203186

..29..888..41704..2277108..128653588.7678775057

.124.7380.187500.46296108.4104988637

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Column 1 is A199126

Sequence in context: A364503 A090350 A199133 * A367858 A363718 A200649

Adjacent sequences: A199243 A199244 A199245 * A199247 A199248 A199249

Keyword

nonn,tabl

Author

R. H. Hardin Nov 04 2011

Status

approved