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A205583
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Number of (n+1) X 2 0..2 arrays with no 2 X 2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order.
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2
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14, 74, 413, 2268, 12574, 69338, 383440, 2117054, 11699556, 64620690, 357034452, 1972284262, 10896200940, 60194058786, 332543162084, 1837101323030, 10149009487404, 56067475332178, 309742091323076, 1711151039052838
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OFFSET
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1,1
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COMMENTS
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Column 1 of A205590.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 21*a(n-2) + 44*a(n-3) + 50*a(n-4) + 12*a(n-5) - 144*a(n-6) for n>7.
Empirical g.f.: x*(14 + 74*x + 119*x^2 + 98*x^3 - 55*x^4 - 330*x^5 + 72*x^6) / (1 - 21*x^2 - 44*x^3 - 50*x^4 - 12*x^5 + 144*x^6). - Colin Barker, Mar 04 2018
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EXAMPLE
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Some solutions for n=4:
..0..1....0..0....0..1....0..0....0..0....0..0....0..0....0..1....0..1....0..1
..1..1....1..2....0..2....0..1....0..1....1..1....1..2....2..2....2..0....2..0
..0..2....0..1....2..0....2..0....2..1....1..1....2..2....1..2....1..0....0..0
..2..2....1..1....0..0....1..0....2..1....1..0....1..0....0..2....2..1....2..1
..1..0....2..0....1..2....0..2....0..1....1..2....1..1....2..2....0..1....2..1
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CROSSREFS
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Cf. A205590.
Sequence in context: A213284 A232377 A146563 * A167633 A196411 A108650
Adjacent sequences: A205580 A205581 A205582 * A205584 A205585 A205586
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 29 2012
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STATUS
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approved
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