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A283951
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Number of 2Xn 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element.
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1
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0, 0, 2, 16, 84, 408, 1926, 8776, 38912, 169456, 727914, 3091712, 13010668, 54334792, 225449486, 930278584, 3820249240, 15622389664, 63649588850, 258473068912, 1046543827972, 4226200851704, 17025631341974, 68440231400232
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OFFSET
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1,3
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 6*a(n-1) -7*a(n-2) +8*a(n-3) -31*a(n-4) -50*a(n-5) -61*a(n-6) -84*a(n-7) -36*a(n-8).
Empirical g.f.: G.f.: 2*x^3*(1+x)^2/(-1+3*x+x^2+7*x^3+6*x^4)^2 . - R. J. Mathar, Mar 21 2017
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EXAMPLE
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Some solutions for n=4
..1..1..1..1. .1..0..1..0. .1..1..1..0. .1..1..0..1. .1..0..1..1
..1..0..1..1. .1..1..1..0. .1..0..1..0. .0..1..1..1. .1..1..1..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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