A215924 T(n,k)=Number of 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, 2, 2, 2, 2, 2, 5, 4, 5, 2, 5, 15, 42, 42, 15, 5, 5, 52, 136, 602, 136, 52, 5, 15, 203, 2906, 12840, 12840, 2906, 203, 15, 15, 877, 12840, 373780, 322768, 373780, 12840, 877, 15, 52, 4140, 433252, 14050312, 87852626, 87852626, 14050312, 433252

Offset

1,7

Comments

Table starts

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

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

..1.....2.........4............42................136....................2906

..2.....5........42...........602..............12840..................373780

..2....15.......136.........12840.............322768................87852626

..5....52......2906........373780...........87852626.............33093356640

..5...203.....12840......14050312.........4044766240..........18383354944364

.15...877....433252.....656404264......2227156082842.......14216420563705724

.15..4140...2387180...37060650272....157752739276184....14670987605491079080

.52.21147.113503692.2475181138384.148049849095504726.19558496206477343793824

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

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

Crossrefs

Column 2 is A000110(n-1)

Column 4 is A208302

Column 6 is A215902

Even squares: A215904

Sequence in context: A263342 A089452 A162487 * A115101 A241148 A172414

Adjacent sequences: A215921 A215922 A215923 * A215925 A215926 A215927

Keyword

nonn,tabl

Author

R. H. Hardin Aug 27 2012

Status

approved