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A214187 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.

%I A214187 #6 Jul 22 2025 23:12:22
%S A214187 1,1,4,4,18,34,11,353,1046,499,41,7434,147943,108893,10507,162,198052,
%T A214187 21418431,96673866,13701111,272410,714,5731144,3375824210,76892349394,
%U A214187 68272896836,1808609113,7817980,3397,172707247,537471327779
%N A214187 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 A214187 Table starts
%C A214187 .....1........1...........4..............11..................41
%C A214187 .....4.......18.........353............7434..............198052
%C A214187 ....34.....1046......147943........21418431..........3375824210
%C A214187 ...499...108893....96673866.....76892349394......63801460335656
%C A214187 .10507.13701111.68272896836.282135060192286.1213459476427300800
%H A214187 R. H. Hardin, <a href="/A214187/b214187.txt">Table of n, a(n) for n = 1..71</a>
%e A214187 Some solutions for n=4 k=1
%e A214187 ..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
%e A214187 ..2..3....2..3....2..3....1..2....2..3....2..0....2..0....2..3....1..2....2..0
%e A214187 ..3..4....1..0....1..4....3..1....3..0....0..3....1..2....4..0....2..0....1..2
%e A214187 ..2..5....3..2....5..3....4..3....2..1....3..2....0..1....3..2....1..2....2..1
%Y A214187 Column 1 is A198717
%K A214187 nonn,tabl
%O A214187 1,3
%A A214187 _R. H. Hardin_ Jul 07 2012