A361449 -id:A361449

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A208096

T(n,k)=Number of n X k nonnegative integer arrays with new values 0 upwards introduced in row major order and no element equal to any horizontal, diagonal or antidiagonal neighbor (colorings ignoring permutations of colors).

+10
10

1, 1, 2, 2, 4, 5, 5, 30, 34, 15, 15, 377, 1573, 500, 52, 52, 7239, 169064, 192328, 10900, 203, 203, 193228, 34438557, 235862938, 43366459, 322768, 877, 877, 6752442, 11535531783, 677352910013, 746823293346, 15769674462, 12297768, 4140

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

OFFSET

1,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..210 (terms 1..39 from R. H. Hardin).

EXAMPLE

Table starts

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

....2........4..........30..........377.........7239......193228.......6752442

....5.......34........1573.......169064.....34438557.11535531783.5804338800147

...15......500......192328....235862938.677352910013

...52....10900....43366459.746823293346

..203...322768.15769674462

..877.12297768

.4140

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Columns 1..5 are A000110, A207864, A208093, A208094, A208095.

Rows 1..5 are A000110(n-1), A208097, A208098, A208099, A208100.

Main diagonal is A361449.

Cf. A207868.

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Feb 23 2012

STATUS

approved

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