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A275352
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T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.
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11
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1, 2, 2, 5, 14, 5, 14, 81, 54, 14, 41, 486, 288, 216, 41, 122, 2916, 1536, 1024, 864, 122, 365, 17496, 8192, 6156, 4100, 3456, 365, 1094, 104976, 43712, 38256, 31536, 16956, 13824, 1094, 3281, 629856, 235072, 239112, 266116, 175152, 70272, 55296, 3281
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OFFSET
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1,2
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COMMENTS
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Table starts
....1......2.......5........14..........41..........122............365
....2.....14......81.......486........2916........17496.........104976
....5.....54.....288......1536........8192........43712.........235072
...14....216....1024......6156.......38256.......239112........1530060
...41....864....4100.....31536......266116......2292520.......20917472
..122...3456...16956....175152.....2130176.....26615196......351504904
..365..13824...70272....982152....17258544....306863916.....5814135340
.1094..55296..291320...5645376...142784608...3682615020...101593710948
.3281.221184.1211092..33154200..1211010160..45094867336..1804283175916
.9842.884736.5070832.197081664.10285035212.548546009720.31575745629020
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = 4*a(n-1) -3*a(n-2)
k=2: a(n) = 4*a(n-1) for n>3
k=3: [order 17] for n>20
Empirical for row n:
n=1: a(n) = 4*a(n-1) -3*a(n-2)
n=2: a(n) = 6*a(n-1) for n>3
n=3: [order 18] for n>20
n=4: [order 41] for n>43
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..0..2. .0..1..1..2. .0..1..0..0. .0..1..1..1. .0..1..2..1
..1..0..1..0. .2..2..2..0. .1..2..2..0. .1..2..2..0. .0..2..1..2
..0..2..0..1. .0..2..0..0. .2..2..2..1. .2..2..0..0. .0..1..2..0
..2..2..1..0. .0..1..1..1. .0..0..1..1. .0..0..1..1. .0..2..1..0
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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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