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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.

%I A216084 #6 May 09 2017 19:11:24
%S A216084 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,
%T A216084 5,136,2440,12840,15144,4140,409,15,5,500,10900,322768,373780,433252,
%U A216084 21147,1657,15,15,2440,322776,12297870,87852160,99827160,18378580,678570,9089
%N 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.
%C A216084 Table starts
%C A216084 ..1.....1.........1.............1..................1.......................2
%C A216084 ..1.....1.........2.............4.................12......................34
%C A216084 ..1.....3.........5............42................136....................2440
%C A216084 ..2.....7........52...........602..............12840..................322768
%C A216084 ..2....27.......203.........15144.............373780................87852160
%C A216084 ..5....87......4140........433252...........99827160.............33093252880
%C A216084 ..5...409.....21147......18378580.........5116799368..........20358402201792
%C A216084 .15..1657....678570.....839621092......2751754706832.......15604440074084672
%C A216084 .15..9089...4213597...52183667212....212339816996032....17423570614012565376
%C A216084 .52.43833.190899322.3404551437592.194478305002268064.22946861101272125055616
%H A216084 R. H. Hardin, <a href="/A216084/b216084.txt">Table of n, a(n) for n = 1..124</a>
%e A216084 Some solutions for n=4 k=4
%e A216084 ..x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1....x..0..x..1
%e A216084 ..2..x..0..x....1..x..2..x....2..x..3..x....2..x..3..x....2..x..3..x
%e A216084 ..x..3..x..0....x..1..x..0....x..4..x..2....x..4..x..1....x..4..x..2
%e A216084 ..4..x..3..x....3..x..1..x....5..x..4..x....0..x..3..x....3..x..5..x
%Y A216084 Column 1 is A000110(floor(n/2)).
%Y A216084 Row 2 is A215953.
%K A216084 nonn,tabl
%O A216084 1,8
%A A216084 _R. H. Hardin_, Sep 01 2012