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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

%I

%S 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,

%T 15,5,136,2440,12840,15144,4140,409,15,15,602,61915,373780,2387180,

%U 502658,115975,2066,52,15,2440,322776,12297870,87852160,99827160,18378580

%N 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.

%C Table starts

%C ...1.......1...........1.................1.....................2

%C ...1.......2...........2.................5....................12

%C ...2.......3..........15................42...................602

%C ...2......10..........52...............726.................12840

%C ...5......27.........877.............15144...............2387180

%C ...5.....114........4140............502658..............99827160

%C ..15.....409......115975..........18378580...........41521045376

%C ..15....2066......678570.........950376664.........2751754706832

%C ..52....9089....27644437.......52183667212......2063225889204272

%C ..52...52922...190899322.....3788883495864....194478305002268064

%C .203..272947.10480142147...286529186194664.232628053298868289568

%C .203.1788850.82864869804.27420871472654064

%H R. H. Hardin, <a href="/A216338/b216338.txt">Table of n, a(n) for n = 1..124</a>

%e Some solutions for n=4 k=4

%e ..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x

%e ..x..2..x..3....x..2..x..3....x..0..x..2....x..2..x..3....x..2..x..0

%e ..4..x..0..x....4..x..0..x....3..x..4..x....3..x..4..x....0..x..2..x

%e ..x..5..x..4....x..1..x..5....x..3..x..4....x..5..x..2....x..3..x..4

%Y Row 2 is A216025.

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Sep 04 2012

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Last modified August 17 19:38 EDT 2022. Contains 356189 sequences. (Running on oeis4.)