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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) 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 19 14:45 EDT 2021. Contains 348090 sequences. (Running on oeis4.)