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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 (list; table; graph; refs; listen; history; text; internal format)
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 * A127778 A076714 A299620

Adjacent sequences:  A199098 A199099 A199100 * A199102 A199103 A199104

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 02 2011

STATUS

approved

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Last modified September 18 05:32 EDT 2019. Contains 327165 sequences. (Running on oeis4.)