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A283726
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T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
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12
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0, 0, 0, 0, 0, 0, 0, 10, 6, 0, 0, 60, 159, 36, 0, 0, 242, 1088, 1304, 176, 0, 0, 1032, 7839, 15228, 9819, 824, 0, 0, 4220, 56106, 185564, 196548, 69972, 3668, 0, 0, 16376, 369328, 2258212, 4096541, 2391696, 478164, 15808, 0, 0, 62564, 2391828, 25260000
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OFFSET
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1,8
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COMMENTS
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Table starts
.0.....0........0..........0............0...............0.................0
.0.....0.......10.........60..........242............1032..............4220
.0.....6......159.......1088.........7839...........56106............369328
.0....36.....1304......15228.......185564.........2258212..........25260000
.0...176.....9819.....196548......4096541........83987692........1590274565
.0...824....69972....2391696.....85216204......2938694472.......94357463834
.0..3668...478164...28103560...1712274593.....99246546144.....5410290101514
.0.15808..3182364..322050940..33562500568...3267618010712...302490564406270
.0.66640.20764075.3622197748.645693322870.105565418525004.16600142770401845
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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: [order 10]
k=3: [order 20]
k=4: [order 28]
k=5: [order 80]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: [order 10]
n=3: [order 22]
n=4: [order 46]
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EXAMPLE
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Some solutions for n=4 k=4
..0..0..0..0. .1..0..1..1. .0..1..0..1. .0..0..1..0. .1..0..1..0
..1..1..0..0. .1..0..0..0. .1..1..0..0. .0..1..0..0. .1..1..0..1
..1..0..1..1. .0..0..1..1. .1..0..0..1. .1..1..0..0. .0..1..0..0
..1..0..1..0. .1..1..1..0. .0..1..1..1. .0..1..0..1. .0..0..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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