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A184046
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1/9 the number of (n+1) X 8 0..2 arrays with all 2 X 2 subblocks having the same four values.
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1
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289, 295, 305, 325, 361, 433, 569, 841, 1369, 2425, 4505, 8665, 16921, 33433, 66329, 132121, 263449, 526105, 1050905, 2100505, 4198681, 8395033, 16785689, 33567001, 67125529, 134242585, 268468505, 536920345, 1073807641, 2147582233, 4295098649
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OFFSET
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1,1
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COMMENTS
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Column 7 of A184048.
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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) = 3*a(n-1) - 6*a(n-3) + 4*a(n-4).
Conjectures from Colin Barker, Apr 10 2018: (Start)
G.f.: x*(289 - 572*x - 580*x^2 + 1144*x^3) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)).
a(n) = 3*2^(n/2) + 2^(n+1) + 281 for n even.
a(n) = 2^(n+1) + 2^((n+3)/2) + 281 for n odd.
(End)
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EXAMPLE
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Some solutions for 5 X 8:
..1..1..1..0..0..0..1..1....0..2..0..2..2..2..0..2....1..0..1..0..1..0..1..0
..0..0..0..1..1..1..0..0....2..1..2..1..0..1..2..1....2..1..2..1..2..1..2..1
..1..1..1..0..0..0..1..1....0..2..0..2..2..2..0..2....1..0..1..0..1..0..1..0
..0..0..0..1..1..1..0..0....2..1..2..1..0..1..2..1....1..2..1..2..1..2..1..2
..1..1..1..0..0..0..1..1....0..2..0..2..2..2..0..2....0..1..0..1..0..1..0..1
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CROSSREFS
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Cf. A184048.
Sequence in context: A107739 A221203 A188367 * A235810 A229906 A008367
Adjacent sequences: A184043 A184044 A184045 * A184047 A184048 A184049
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 08 2011
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STATUS
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approved
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