A216338 T(n,k) = Number of horizontal and antidiagonal neighbor colorings of the even squares of an n X k array with new integer colors introduced in row major order.

1, 1, 1, 1, 2, 2, 1, 2, 3, 2, 2, 5, 15, 10, 5, 2, 12, 42, 52, 27, 5, 5, 42, 602, 726, 877, 114, 15, 5, 136, 2440, 12840, 15144, 4140, 409, 15, 15, 602, 61915, 373780, 2387180, 502658, 115975, 2066, 52, 15, 2440, 322776, 12297870, 87852160, 99827160, 18378580

Offset: 1

Author

R. H. Hardin, Sep 04 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1.......1...........1.................1.....................2

...1.......2...........2.................5....................12

...2.......3..........15................42...................602

...2......10..........52...............726.................12840

...5......27.........877.............15144...............2387180

...5.....114........4140............502658..............99827160

..15.....409......115975..........18378580...........41521045376

..15....2066......678570.........950376664.........2751754706832

..52....9089....27644437.......52183667212......2063225889204272

..52...52922...190899322.....3788883495864....194478305002268064

.203..272947.10480142147...286529186194664.232628053298868289568

.203.1788850.82864869804.27420871472654064

Examples

			Some solutions for n=4 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..3....x..0..x..2....x..2..x..3....x..2..x..0
..4..x..0..x....4..x..0..x....3..x..4..x....3..x..4..x....0..x..2..x
..x..5..x..4....x..1..x..5....x..3..x..4....x..5..x..2....x..3..x..4
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..124

Crossrefs

Row 2 is A216025.