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).

1, 2, 2, 5, 14, 5, 14, 54, 54, 14, 41, 216, 129, 216, 41, 122, 864, 339, 339, 864, 122, 365, 3456, 1123, 1292, 1123, 3456, 365, 1094, 13824, 4155, 6416, 6416, 4155, 13824, 1094, 3281, 55296, 15273, 32813, 50507, 32813, 15273, 55296, 3281, 9842, 221184, 55715

Offset: 1

Author

R. H. Hardin Feb 26 2012

Keywords

• nonn
• tabl

Comments

Table starts

....1.....2.....5.....14.......41.......122........365.........1094

....2....14....54....216......864......3456......13824........55296

....5....54...129....339.....1123......4155......15273........55715

...14...216...339...1292.....6416.....32813.....169899.......885540

...41...864..1123...6416....50507....365195....2623167.....19281232

..122..3456..4155..32813...365195...3673572...36422648....371453021

..365.13824.15273.169899..2623167..36422648..509698666...7308976236

.1094.55296.55715.885540.19281232.371453021.7308976236.148054300100

Examples

			Some solutions for n=4 k=3
..0..0..0....0..1..0....0..1..0....0..0..0....0..1..2....0..0..1....0..0..0
..1..0..2....1..1..1....2..1..2....1..1..1....1..2..1....2..0..1....1..1..2
..1..1..2....2..1..2....0..1..0....2..1..2....0..1..0....2..2..1....1..2..2
..1..0..2....0..2..0....2..1..2....0..2..0....1..0..1....2..0..1....0..0..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..220

Crossrefs

Column 1 is A007051(n-1)