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A186475
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Number of (n+1)X3 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
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1
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205, 362, 701, 2049, 3442, 8223, 14492, 35081, 64280, 150785, 281928, 646756, 1233097, 2780008, 5384887, 11965960, 23479960, 51563275, 102260008, 222407905, 444938056, 960071644, 1934442193, 4147066744, 8404992631, 17923081288
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OFFSET
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1,1
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COMMENTS
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Column 2 of A186482
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..200
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FORMULA
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Empirical: a(n)=2*a(n-1)+2*a(n-2)-6*a(n-3)+6*a(n-4)-3*a(n-5) for n>13
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EXAMPLE
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Some solutions for 5X3
..2..0..2....2..1..0....0..0..3....1..2..0....3..1..0....0..2..1....0..3..0
..0..2..0....2..0..1....0..0..0....1..0..2....0..0..1....0..0..2....2..0..3
..1..0..2....0..2..0....0..0..0....0..1..0....0..0..0....0..0..0....0..2..0
..0..1..0....3..0..2....2..0..0....0..0..1....3..0..0....3..0..0....0..0..2
..0..0..1....0..3..0....0..2..2....0..0..1....2..3..0....0..3..1....0..0..0
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CROSSREFS
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Sequence in context: A116177 A191834 A042983 * A020170 A260471 A249703
Adjacent sequences: A186472 A186473 A186474 * A186476 A186477 A186478
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin Feb 22 2011
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STATUS
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approved
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