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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A007051(n-1)

Sequence in context: A032201 A268180 A268003 * A336110 A275352 A282056

Adjacent sequences: A208431 A208432 A208433 * A208435 A208436 A208437

Keyword

nonn,tabl

Author

R. H. Hardin Feb 26 2012

Status

approved