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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.
13
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Sep 04 2012
STATUS
approved