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

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Last modified May 25 11:07 EDT 2020. Contains 334592 sequences. (Running on oeis4.)