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A207868 T(n,k)=Number of nXk nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal or vertical neighbor (colorings ignoring permutations of colors) 14
1, 1, 1, 2, 4, 2, 5, 34, 34, 5, 15, 500, 2052, 500, 15, 52, 10900, 278982, 278982, 10900, 52, 203, 322768, 68162042, 455546040, 68162042, 322768, 203, 877, 12297768, 26419793726, 1625686993918, 1625686993918, 26419793726, 12297768, 877, 4140 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

...1.........1..............2.................5.................15

...1.........4.............34...............500..............10900

...2........34...........2052............278982...........68162042

...5.......500.........278982.........455546040......1625686993918

..15.....10900.......68162042.....1625686993918.103204230192540988

..52....322768....26419793726.10764437129618296

.203..12297768.15002771641712

.877.580849872

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

EXAMPLE

Some solutions for n=5 k=3

..0..1..0....0..1..2....0..1..0....0..1..0....0..1..2....0..1..0....0..1..0

..1..0..1....1..0..3....1..0..1....1..0..1....1..2..0....1..0..1....1..0..1

..0..1..0....0..1..0....0..1..0....2..1..0....0..1..2....0..2..3....0..1..2

..1..0..1....1..0..1....1..0..1....0..2..3....1..0..1....1..0..1....1..0..1

..0..1..0....0..1..0....2..1..0....1..3..0....2..1..0....0..1..0....0..1..0

CROSSREFS

Column 1 is A000110(n-1)

Sequence in context: A198982 A198723 A198914 * A135690 A010241 A278526

Adjacent sequences:  A207865 A207866 A207867 * A207869 A207870 A207871

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 21 2012

STATUS

approved

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Last modified May 13 04:09 EDT 2021. Contains 343836 sequences. (Running on oeis4.)