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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.

%I A216338 #6 May 09 2017 19:13:33
%S A216338 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 A216338 15,5,136,2440,12840,15144,4140,409,15,15,602,61915,373780,2387180,
%U A216338 502658,115975,2066,52,15,2440,322776,12297870,87852160,99827160,18378580
%N 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.
%C A216338 Table starts
%C A216338 ...1.......1...........1.................1.....................2
%C A216338 ...1.......2...........2.................5....................12
%C A216338 ...2.......3..........15................42...................602
%C A216338 ...2......10..........52...............726.................12840
%C A216338 ...5......27.........877.............15144...............2387180
%C A216338 ...5.....114........4140............502658..............99827160
%C A216338 ..15.....409......115975..........18378580...........41521045376
%C A216338 ..15....2066......678570.........950376664.........2751754706832
%C A216338 ..52....9089....27644437.......52183667212......2063225889204272
%C A216338 ..52...52922...190899322.....3788883495864....194478305002268064
%C A216338 .203..272947.10480142147...286529186194664.232628053298868289568
%C A216338 .203.1788850.82864869804.27420871472654064
%H A216338 R. H. Hardin, <a href="/A216338/b216338.txt">Table of n, a(n) for n = 1..124</a>
%e A216338 Some solutions for n=4 k=4
%e A216338 ..0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x....0..x..1..x
%e A216338 ..x..2..x..3....x..2..x..3....x..0..x..2....x..2..x..3....x..2..x..0
%e A216338 ..4..x..0..x....4..x..0..x....3..x..4..x....3..x..4..x....0..x..2..x
%e A216338 ..x..5..x..4....x..1..x..5....x..3..x..4....x..5..x..2....x..3..x..4
%Y A216338 Row 2 is A216025.
%K A216338 nonn,tabl
%O A216338 1,5
%A A216338 _R. H. Hardin_, Sep 04 2012