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A189197
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Number of 4 X n binary arrays without the pattern 0 0 1 vertically or antidiagonally.
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1
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12, 144, 1494, 15326, 156564, 1598444, 16316636, 166552852, 1700084336, 17353550112, 177135689224, 1808105575848, 18456166259888, 188390587782160, 1922989479244368, 19628839107258224, 200360599393734848
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OFFSET
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1,1
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COMMENTS
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Row 4 of A189196.
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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) = 12*a(n-1) -14*a(n-2) -52*a(n-3) +82*a(n-4) +16*a(n-5) -56*a(n-6) +16*a(n-7).
Empirical g.f.: 2*x*(1 - x)*(2 + 2*x - x^2)*(3 - 12*x^2 + 8*x^3) / (1 - 12*x + 14*x^2 + 52*x^3 - 82*x^4 - 16*x^5 + 56*x^6 - 16*x^7). - Colin Barker, May 01 2018
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EXAMPLE
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Some solutions for 4 X 3:
..1..1..1....1..0..0....1..1..1....1..0..1....0..0..0....1..0..1....0..0..1
..1..1..1....1..1..1....0..1..0....0..1..0....1..1..1....1..1..1....0..1..0
..0..0..0....1..1..0....1..1..0....1..0..0....1..1..0....1..0..1....0..0..1
..1..1..0....0..1..1....1..0..0....0..1..0....0..1..1....0..0..1....0..1..1
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CROSSREFS
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Cf. A189196.
Sequence in context: A188987 A189697 A189059 * A264523 A171286 A190132
Adjacent sequences: A189194 A189195 A189196 * A189198 A189199 A189200
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 18 2011
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STATUS
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approved
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