A183380 T(n,k)=Number of nXk binary arrays with no element equal to the mod 3 sum of its king-move neighbors

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

R. H. Hardin, Table of n, a(n) for n = 1..179

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

Adjacent sequences: A183377 A183378 A183379 * A183381 A183382 A183383

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2011

Status

approved