A215745 T(n,k)=Number of horizontal, vertical, diagonal and antidiagonal neighbor colorings of the odd squares of an nXk array with new integer colors introduced in row major order

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 5, 8, 8, 5, 2, 2, 15, 22, 78, 22, 15, 2, 5, 52, 364, 1250, 1250, 364, 52, 5, 5, 203, 1474, 29084, 24236, 29084, 1474, 203, 5, 15, 877, 40612, 908408, 4851360, 4851360, 908408, 40612, 877, 15, 15, 4140, 211784, 36224616

Offset

1,12

Comments

Table starts

..1.....1.......1..........1...........1............2............2

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

..1.....1.......1..........8..........22..........364.........1474

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

..1.....5......22.......1250.......24236......4851360....190497926

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

..2....52....1474.....908408...190497926.621070325112

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

..5...877..211784.1780689974

.15..4140.8520924

.15.21147

.52

Links

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

Example

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

Crossrefs

Column 2 is A000110(n-2)

Sequence in context: A001314 A020733 A210700 * A059913 A329602 A083273

Adjacent sequences: A215742 A215743 A215744 * A215746 A215747 A215748

Keyword

nonn,tabl

Author

R. H. Hardin Aug 22 2012

Status

approved