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A207235 T(n,k)=Number of nXk 0..2 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal 8
3, 9, 9, 23, 81, 23, 61, 529, 529, 61, 161, 3721, 5853, 3721, 161, 425, 25921, 79353, 79353, 25921, 425, 1121, 180625, 1089017, 2464241, 1089017, 180625, 1121, 2957, 1256641, 14540437, 77937497, 77937497, 14540437, 1256641, 2957, 7801, 8743849 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3.......9.........23............61..............161................425

....9......81........529..........3721............25921.............180625

...23.....529.......5853.........79353..........1089017...........14540437

...61....3721......79353.......2464241.........77937497.........2320163321

..161...25921....1089017......77937497.......5437970705.......350097798369

..425..180625...14540437....2320163321.....350097798369.....47274560618753

.1121.1256641..191801477...68168506265...22315875854161...6288613378797777

.2957.8743849.2533992385.2020945709121.1438362000618041.848441499201176937

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..111

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 is A207008

Column 2 is A207009

Sequence in context: A223789 A223975 A226852 * A207228 A207015 A268809

Adjacent sequences:  A207232 A207233 A207234 * A207236 A207237 A207238

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 16 2012

STATUS

approved

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Last modified September 22 22:24 EDT 2020. Contains 337291 sequences. (Running on oeis4.)