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A208434 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).

%I A208434 #7 Jun 02 2025 07:45:06
%S A208434 1,2,2,5,14,5,14,54,54,14,41,216,129,216,41,122,864,339,339,864,122,
%T A208434 365,3456,1123,1292,1123,3456,365,1094,13824,4155,6416,6416,4155,
%U A208434 13824,1094,3281,55296,15273,32813,50507,32813,15273,55296,3281,9842,221184,55715
%N A208434 T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors).
%C A208434 Table starts
%C A208434 ....1.....2.....5.....14.......41.......122........365.........1094
%C A208434 ....2....14....54....216......864......3456......13824........55296
%C A208434 ....5....54...129....339.....1123......4155......15273........55715
%C A208434 ...14...216...339...1292.....6416.....32813.....169899.......885540
%C A208434 ...41...864..1123...6416....50507....365195....2623167.....19281232
%C A208434 ..122..3456..4155..32813...365195...3673572...36422648....371453021
%C A208434 ..365.13824.15273.169899..2623167..36422648..509698666...7308976236
%C A208434 .1094.55296.55715.885540.19281232.371453021.7308976236.148054300100
%H A208434 R. H. Hardin, <a href="/A208434/b208434.txt">Table of n, a(n) for n = 1..220</a>
%e A208434 Some solutions for n=4 k=3
%e A208434 ..0..0..0....0..1..0....0..1..0....0..0..0....0..1..2....0..0..1....0..0..0
%e A208434 ..1..0..2....1..1..1....2..1..2....1..1..1....1..2..1....2..0..1....1..1..2
%e A208434 ..1..1..2....2..1..2....0..1..0....2..1..2....0..1..0....2..2..1....1..2..2
%e A208434 ..1..0..2....0..2..0....2..1..2....0..2..0....1..0..1....2..0..1....0..0..2
%Y A208434 Column 1 is A007051(n-1)
%K A208434 nonn,tabl
%O A208434 1,2
%A A208434 _R. H. Hardin_ Feb 26 2012