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A207981 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 diagonal or antidiagonal neighbor (colorings ignoring permutations of colors) 4
1, 2, 2, 5, 7, 5, 15, 67, 67, 15, 52, 1080, 4192, 1080, 52, 203, 25287, 587208, 587208, 25287, 203, 877, 794545, 147512732, 953124784, 147512732, 794545, 877, 4140, 31858034, 58668937932, 3410310590912, 3410310590912, 58668937932, 31858034 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

....1........2...........5............15............52...............203

....2........7..........67..........1080.........25287............794545

....5.......67........4192........587208.....147512732.......58668937932

...15.....1080......587208.....953124784.3410310590912.22727131144960768

...52....25287...147512732.3410310590912

..203...794545.58668937932

..877.31858034

.4140

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40

EXAMPLE

Some solutions for n=4 k=3

..0..0..0....0..0..1....0..0..0....0..0..0....0..1..0....0..0..0....0..0..0

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

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

..1..0..1....0..2..0....1..1..1....1..1..1....0..4..0....2..1..1....0..1..0

CROSSREFS

Column 1 is A000110

Sequence in context: A136536 A023507 A095674 * A058123 A035586 A216392

Adjacent sequences:  A207978 A207979 A207980 * A207982 A207983 A207984

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 22 2012

STATUS

approved

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)