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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 (list; table; graph; refs; listen; history; text; internal format)
 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 A331244 A316845 Adjacent sequences:  A216335 A216336 A216337 * A216339 A216340 A216341 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 04 2012 STATUS approved

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Last modified July 4 23:17 EDT 2022. Contains 355086 sequences. (Running on oeis4.)