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%I #4 Jul 07 2012 07:04:19
%S 1,1,4,4,18,34,11,353,1046,499,41,7434,147943,108893,10507,162,198052,
%T 21418431,96673866,13701111,272410,714,5731144,3375824210,76892349394,
%U 68272896836,1808609113,7817980,3397,172707247,537471327779
%N T(n,k)=Number of 0..6 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..6 introduced in row major order
%C Table starts
%C .....1........1...........4..............11..................41
%C .....4.......18.........353............7434..............198052
%C ....34.....1046......147943........21418431..........3375824210
%C ...499...108893....96673866.....76892349394......63801460335656
%C .10507.13701111.68272896836.282135060192286.1213459476427300800
%H R. H. Hardin, <a href="/A214187/b214187.txt">Table of n, a(n) for n = 1..71</a>
%e Some solutions for n=4 k=1
%e ..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
%e ..2..3....2..3....2..3....1..2....2..3....2..0....2..0....2..3....1..2....2..0
%e ..3..4....1..0....1..4....3..1....3..0....0..3....1..2....4..0....2..0....1..2
%e ..2..5....3..2....5..3....4..3....2..1....3..2....0..1....3..2....1..2....2..1
%Y Column 1 is A198717
%K nonn,tabl
%O 1,3
%A _R. H. Hardin_ Jul 07 2012