A199101 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 two or fewer horizontal or vertical neighbors

1, 1, 1, 1, 6, 1, 6, 15, 15, 6, 15, 280, 280, 280, 15, 15, 2040, 5295, 5295, 2040, 15, 105, 5503, 101460, 732964, 101460, 5503, 105, 280, 113010, 1999365, 38753124, 38753124, 1999365, 113010, 280, 280, 857532, 40210161, 743464228, 5569129037, 743464228

Offset

1,5

Comments

Table starts

....1........1............1...............6................15................15

....1........6...........15.............280..............2040..............5503

....1.......15..........280............5295............101460...........1999365

....6......280.........5295..........732964..........38753124.........743464228

...15.....2040.......101460........38753124........5569129037......287771242262

...15.....5503......1999365.......743464228......287771242262...114472439855502

..105...113010.....40210161....115707966228...123022787797053.46438726281827509

..280...857532....820951127...6468027944244.18696906414385635

..280..2340127..16962540224.127149344295419

.2100.50784920.353916457700

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

Some solutions for n=5 k=3
..0..1..2....0..1..0....0..1..0....0..1..0....0..1..1....0..0..1....0..0..1
..1..0..0....2..0..1....0..2..2....2..1..0....2..1..0....0..0..2....2..1..0
..2..1..2....2..2..2....1..2..0....2..2..1....2..0..0....2..1..1....1..2..2
..2..0..2....1..1..2....1..0..1....0..1..2....1..2..2....1..1..0....2..0..1
..1..1..0....1..0..0....2..2..1....1..0..2....2..0..1....2..2..2....1..2..0

Crossrefs

Sequence in context: A159828 A131114 A199230 * A366868 A127778 A076714

Adjacent sequences: A199098 A199099 A199100 * A199102 A199103 A199104

Keyword

nonn,tabl

Author

R. H. Hardin Nov 02 2011

Status

approved