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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 02 2011
STATUS
approved