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

Author

R. H. Hardin Aug 27 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A000110(n-1)

Column 4 is A208302

Column 6 is A215902

Even squares: A215904