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A230176
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T(n,k)=Number of nXk 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value 2-x(i,j)
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8
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0, 3, 3, 3, 27, 3, 9, 193, 193, 9, 15, 1407, 3787, 1407, 15, 33, 10211, 78849, 78849, 10211, 33, 63, 73417, 1637019, 4722977, 1637019, 73417, 63, 129, 530771, 33908253, 284444079, 284444079, 33908253, 530771, 129, 255, 3841171, 704822331
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OFFSET
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1,2
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COMMENTS
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Table starts
...0.......3...........3..............9.................15
...3......27.........193...........1407..............10211
...3.....193........3787..........78849............1637019
...9....1407.......78849........4722977..........284444079
..15...10211.....1637019......284444079........49754476927
..33...73417....33908253....17072965263......8666440899433
..63..530771...704822331..1027868078181...1514677019365483
.129.3841171.14643857893.61861526624839.264644708761844781
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..112
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1) +2*a(n-2)
k=2: a(n) = 6*a(n-1) -2*a(n-2) +67*a(n-3) +62*a(n-4) +160*a(n-5) +40*a(n-6) +16*a(n-7)
k=3: [order 26] for n>27
k=4: [order 81] for n>82
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EXAMPLE
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Some solutions for n=3 k=4
..1..1..0..1....0..2..1..1....2..1..2..0....2..0..1..2....1..1..2..0
..0..0..1..2....0..0..2..1....0..0..1..0....1..1..0..1....0..1..1..2
..2..1..1..0....0..2..0..0....2..0..1..1....0..2..1..1....1..2..1..1
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CROSSREFS
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Column 1 is A062510(n-1)
Sequence in context: A073748 A289118 A131445 * A033874 A122092 A230495
Adjacent sequences: A230173 A230174 A230175 * A230177 A230178 A230179
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin, Oct 11 2013
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STATUS
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approved
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