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A232677
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T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally
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9
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36, 212, 212, 1568, 3138, 1568, 11878, 63632, 63632, 11878, 87680, 1323984, 3684840, 1323984, 87680, 651678, 26350948, 223396744, 223396744, 26350948, 651678, 4846056, 532378308, 12890094328, 39425246602, 12890094328, 532378308, 4846056
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OFFSET
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1,1
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COMMENTS
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Table starts
......36.........212...........1568..............11878.................87680
.....212........3138..........63632............1323984..............26350948
....1568.......63632........3684840..........223396744...........12890094328
...11878.....1323984......223396744........39425246602.........6593726545958
...87680....26350948....12890094328......6593726545958......3186295643132436
..651678...532378308...754650484792...1120549772696776...1566033207755153544
.4846056.10773984656.44225213151124.190677413113742328.770628641578865476150
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LINKS
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FORMULA
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Empirical for column k:
k=1: [linear recurrence of order 8]
k=2: [order 25]
k=3: [order 53]
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EXAMPLE
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Some solutions for n=2 k=4
..0..0..0..2..1....0..1..2..1..1....0..2..2..1..0....0..1..0..0..1
..0..1..2..0..2....0..0..0..0..2....0..1..2..1..0....0..1..2..1..2
..0..0..1..1..1....0..1..2..1..2....0..2..2..0..2....0..0..0..0..2
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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