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 A216084 T(n,k) = Number of horizontal and antidiagonal neighbor colorings of the odd squares of an n X k array with new integer colors introduced in row major order. 13
 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 4, 5, 7, 2, 2, 12, 42, 52, 27, 5, 2, 34, 136, 602, 203, 87, 5, 5, 136, 2440, 12840, 15144, 4140, 409, 15, 5, 500, 10900, 322768, 373780, 433252, 21147, 1657, 15, 15, 2440, 322776, 12297870, 87852160, 99827160, 18378580, 678570, 9089 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts ..1.....1.........1.............1..................1.......................2 ..1.....1.........2.............4.................12......................34 ..1.....3.........5............42................136....................2440 ..2.....7........52...........602..............12840..................322768 ..2....27.......203.........15144.............373780................87852160 ..5....87......4140........433252...........99827160.............33093252880 ..5...409.....21147......18378580.........5116799368..........20358402201792 .15..1657....678570.....839621092......2751754706832.......15604440074084672 .15..9089...4213597...52183667212....212339816996032....17423570614012565376 .52.43833.190899322.3404551437592.194478305002268064.22946861101272125055616 LINKS R. H. Hardin, Table of n, a(n) for n = 1..124 EXAMPLE Some solutions for n=4 k=4 ..x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1 ..2..x..0..x....1..x..2..x....2..x..3..x....2..x..3..x....2..x..3..x ..x..3..x..0....x..1..x..0....x..4..x..2....x..4..x..1....x..4..x..2 ..4..x..3..x....3..x..1..x....5..x..4..x....0..x..3..x....3..x..5..x CROSSREFS Column 1 is A000110(floor(n/2)). Row 2 is A215953. Sequence in context: A336153 A299765 A104411 * A055101 A319108 A238165 Adjacent sequences:  A216081 A216082 A216083 * A216085 A216086 A216087 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Sep 01 2012 STATUS approved

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Last modified December 1 05:17 EST 2021. Contains 349426 sequences. (Running on oeis4.)