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A282523
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Number of nX3 0..1 arrays with no 1 equal to more than two of its king-move neighbors.
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1
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8, 43, 206, 1097, 5675, 29433, 153037, 794716, 4128244, 21444844, 111394775, 578646848, 3005807582, 15613798271, 81106596833, 421311892656, 2188523765507, 11368386235590, 59053598944793, 306756604030647, 1593461123288541
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 5*a(n-1) +2*a(n-2) -a(n-3) -24*a(n-4) +13*a(n-5) -2*a(n-7) +6*a(n-8).
G.f.: -x*(8+3*x-25*x^2-11*x^3+13*x^4-2*x^5+4*x^6+6*x^7)/(-1+5*x+2*x^2-x^3-24*x^4+13*x^5-2*x^7+6*x^8) . - R. J. Mathar, Feb 28 2017
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EXAMPLE
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Some solutions for n=4
..0..1..1. .0..0..0. .0..1..0. .1..0..1. .1..0..1. .0..0..0. .1..1..0
..0..0..0. .0..0..1. .0..1..1. .0..0..1. .0..0..0. .0..0..0. .0..0..0
..0..1..0. .0..0..0. .0..0..0. .1..0..1. .0..0..0. .1..0..0. .0..0..0
..0..0..0. .1..1..0. .1..1..0. .0..0..1. .1..1..0. .0..1..1. .0..0..1
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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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