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A214099
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Number of 0..2 colorings on an n X 7 array circular in the 7 direction with new values 0..2 introduced in row major order.
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1
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21, 322, 5068, 79968, 1262128, 19920544, 314412672, 4962482560, 78324558592, 1236223285248, 19511734746112, 307960380098560, 4860643963478016, 76717205414993920, 1210853880866258944, 19111320764068528128
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OFFSET
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1,1
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COMMENTS
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Column 6 of A214101.
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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) = 18*a(n-1) - 36*a(n-2) + 16*a(n-3).
Empirical g.f.: 7*x*(3 - 2*x)*(1 - 2*x) / (1 - 18*x + 36*x^2 - 16*x^3). - Colin Barker, Jul 22 2018
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EXAMPLE
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Some solutions for n=4:
..0..1..2..0..2..0..2....0..1..2..1..2..0..1....0..1..2..1..2..1..2
..2..0..1..2..0..2..1....2..0..1..0..1..2..0....2..0..1..2..0..2..1
..0..2..0..1..2..0..2....0..2..0..1..0..1..2....1..2..0..1..2..0..2
..1..0..1..2..0..2..0....1..0..1..2..1..2..0....0..1..2..0..1..2..1
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CROSSREFS
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Cf. A214101.
Sequence in context: A016262 A001233 A145148 * A340097 A237856 A016260
Adjacent sequences: A214096 A214097 A214098 * A214100 A214101 A214102
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jul 04 2012
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STATUS
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approved
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