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

Author

R. H. Hardin Jan 04 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000931(n+6)