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

1,5

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

Links

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

Example

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

Crossrefs

Row 2 is A216025.

Sequence in context: A035462 A260414 A160735 * A227725 A365836 A331244

Adjacent sequences: A216335 A216336 A216337 * A216339 A216340 A216341

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 04 2012

Status

approved