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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
8
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 04 2011
STATUS
approved