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A204367
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Number of (n+2) X 7 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order.
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1
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2419, 1715, 1042, 1264, 1984, 3280, 7376, 18776, 48392, 130552, 355336, 966472, 2638568, 7207496, 19684040, 53775496, 146916424, 401370184, 1096560584, 2995858760, 8184813896, 22361322568, 61092269896, 166907137864, 455998772552
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OFFSET
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1,1
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COMMENTS
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Column 5 of A204370.
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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) = 3*a(n-1) -6*a(n-4) +4*a(n-6) for n>9.
Empirical g.f.: x*(2419 - 5542*x - 4103*x^2 - 1862*x^3 + 12706*x^4 + 7618*x^5 - 5888*x^6 - 2628*x^7 - 200*x^8) / ((1 - x)*(1 - 2*x - 2*x^2)*(1 - 2*x^3)). - Colin Barker, Feb 16 2018
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EXAMPLE
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Some solutions for n=5:
..0..0..1..1..1..0..1....0..0..1..1..1..0..1....0..1..2..2..1..1..2
..0..0..0..1..1..1..2....0..0..0..1..1..1..2....0..1..2..2..1..1..1
..1..0..0..0..1..1..1....2..0..0..0..1..1..1....0..1..2..2..1..1..2
..1..1..0..0..0..1..1....2..2..0..0..0..1..1....0..1..2..2..1..1..2
..1..1..1..0..0..0..1....2..2..2..0..0..0..1....0..1..2..2..1..1..2
..0..1..1..1..0..0..0....0..2..2..2..0..0..0....0..1..2..2..1..1..2
..0..2..1..1..1..0..0....2..0..2..2..2..0..0....0..1..2..2..1..1..2
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CROSSREFS
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Sequence in context: A256835 A237940 A097030 * A131759 A254901 A254908
Adjacent sequences: A204364 A204365 A204366 * A204368 A204369 A204370
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 14 2012
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STATUS
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approved
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