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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
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.
Sequence in context: A325325 A240851 A261665 * A049269 A085085 A121600
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Feb 23 2012
STATUS
approved

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Last modified June 23 01:58 EDT 2024. Contains 373629 sequences. (Running on oeis4.)