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A284075
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T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements.
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12
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0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 15, 0, 0, 0, 33, 275, 314, 0, 0, 0, 176, 3174, 7302, 3764, 0, 0, 0, 858, 31898, 147864, 151310, 37557, 0, 0, 0, 4000, 300008, 2696970, 5555954, 2816826, 353608, 0, 0, 0, 18298, 2695374, 45973823, 189363893, 188451507
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OFFSET
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1,12
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COMMENTS
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Table starts
.0.0......0........0..........0............0..............0................0
.0.0......1........6.........33..........176............858.............4000
.0.0.....15......275.......3174........31898.........300008..........2695374
.0.0....314.....7302.....147864......2696970.......45973823........754541156
.0.0...3764...151310....5555954....189363893.....5950703039.....179626388248
.0.0..37557..2816826..188451507..11888242488...690497721277...38373427448124
.0.0.353608.48994058.6011835223.700044712076.74965549398304.7663959789277668
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LINKS
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FORMULA
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Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1)
k=3: [order 24]
k=4: [order 51]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: [order 12]
n=3: [order 42]
n=4: [order 84]
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EXAMPLE
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Some solutions for n=4 k=4
..0..1..1..1. .0..1..0..1. .0..1..1..0. .0..0..0..0. .1..1..0..1
..1..0..1..0. .1..1..1..0. .0..0..0..0. .0..1..1..1. .1..1..1..0
..0..1..1..1. .0..1..1..0. .0..1..1..1. .1..1..0..1. .1..1..0..0
..1..0..0..0. .1..0..0..0. .0..1..1..1. .1..0..1..1. .0..1..0..1
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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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