A215847 T(n,k)=Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the even squares of an nXk array with new integer colors introduced in row major order

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 2, 2, 2, 5, 8, 8, 5, 2, 5, 15, 102, 78, 102, 15, 5, 5, 52, 364, 1250, 1250, 364, 52, 5, 15, 203, 8460, 29084, 159712, 29084, 8460, 203, 15, 15, 877, 40612, 908408, 4851360, 4851360, 908408, 40612, 877, 15, 52, 4140, 1440676

Offset

1,11

Comments

Table starts

..1.....1.......1..........1...........2............2............5

..1.....1.......1..........2...........5...........15...........52

..1.....1.......4..........8.........102..........364.........8460

..1.....2.......8.........78........1250........29084.......908408

..2.....5.....102.......1250......159712......4851360...1590366402

..2....15.....364......29084.....4851360...1396243937.621070325112

..5....52....8460.....908408..1590366402.621070325112

..5...203...40612...36224616.83943993818

.15...877.1440676.1780689974

.15..4140.8520924

.52.21147

.52

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=3 k=4
..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x
..x..2..x..3....x..2..x..0....x..2..x..3....x..2..x..3....x..2..x..0
..3..x..4..x....1..x..3..x....4..x..5..x....4..x..0..x....3..x..4..x

Crossrefs

Column 2 is A000110(n-2)

Column 4 is A215741

Column 6 is A215743

Sequence in context: A279047 A063086 A077636 * A360460 A057000 A348044

Adjacent sequences: A215844 A215845 A215846 * A215848 A215849 A215850

Keyword

nonn,tabl

Author

R. H. Hardin Aug 24 2012

Status

approved