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A296309
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Number of n X 4 0..1 arrays with each 1 adjacent to 3 or 6 king-move neighboring 1s.
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1
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1, 4, 7, 10, 23, 45, 76, 150, 293, 532, 1010, 1942, 3625, 6833, 13005, 24499, 46186, 87489, 165230, 311809, 589569, 1114002, 2103636, 3975125, 7511104, 14188028, 26805754, 50647041, 95680777, 180765515, 341525717, 645225728, 1218995503
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OFFSET
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1,2
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LINKS
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FORMULA
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Empirical: a(n) = a(n-1) + 4*a(n-3) - a(n-4) - 2*a(n-6).
Empirical g.f.: x*(1 + 3*x + 3*x^2 - x^3 - 2*x^4 - 2*x^5) / (1 - x - 4*x^3 + x^4 + 2*x^6). - Colin Barker, Feb 22 2019
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EXAMPLE
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Some solutions for n=5:
..0..0..0..0. .1..1..0..0. .1..1..0..0. .0..0..0..0. .0..1..1..0
..0..0..0..0. .1..1..0..0. .1..1..0..0. .0..0..0..0. .0..1..1..0
..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1. .1..1..1..1
..0..0..0..0. .0..0..0..0. .0..1..1..0. .0..0..1..1. .0..1..1..0
..0..0..0..0. .0..0..0..0. .0..1..1..0. .0..0..0..0. .0..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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