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A183380
T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors
6
1, 2, 2, 2, 5, 2, 3, 9, 9, 3, 4, 20, 28, 20, 4, 5, 37, 68, 68, 37, 5, 7, 61, 143, 225, 143, 61, 7, 9, 144, 364, 627, 627, 364, 144, 9, 12, 289, 952, 2152, 2767, 2152, 952, 289, 12, 16, 497, 2509, 7036, 11345, 11345, 7036, 2509, 497, 16, 21, 1100, 6412, 22392, 51706, 64530
OFFSET
1,2
COMMENTS
Table starts
..1....2.....2......3.......4........5..........7...........9...........12
..2....5.....9.....20......37.......61........144.........289..........497
..2....9....28.....68.....143......364........952........2509.........6412
..3...20....68....225.....627.....2152.......7036.......22392........74381
..4...37...143....627....2767....11345......51706......223151.......974387
..5...61...364...2152...11345....64530.....377217.....2204567.....12979097
..7..144...952...7036...51706...377217....2952294....22811993....176950342
..9..289..2509..22392..223151..2204567...22811993...238729120...2477358069
.12..497..6412..74381..974387.12979097..176950342..2477358069..34520238211
.16.1100.16544.241819.4317835.75859054.1369406125.25692566781.477784675604
LINKS
EXAMPLE
Some solutions for 6X5
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....1..0..1..0..1
..1..1..0..1..0....1..1..0..0..1....0..1..0..1..0....1..1..1..1..1
..0..1..1..1..0....1..1..0..0..0....0..1..1..1..0....1..0..1..1..0
..0..1..1..0..0....0..0..0..0..0....0..0..1..0..0....0..0..0..1..1
..1..1..1..0..0....1..1..1..1..0....1..0..0..0..1....1..0..1..0..1
..0..0..1..1..0....1..1..1..1..0....1..1..1..1..1....0..0..0..1..0
CROSSREFS
Column 1 is A000931(n+6)
Sequence in context: A120642 A216624 A183413 * A260587 A095370 A046053
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 04 2011
STATUS
approved