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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 6
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 19 03:38 EDT 2021. Contains 345125 sequences. (Running on oeis4.)