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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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 * A057000 A328400 A239676

Adjacent sequences:  A215844 A215845 A215846 * A215848 A215849 A215850

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Aug 24 2012

STATUS

approved

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Last modified June 13 13:31 EDT 2021. Contains 344999 sequences. (Running on oeis4.)