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A205305
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Number of nX3 0..3 arrays with no occurrence of three equal elements in a row horizontally or vertically, and new values 0..3 introduced in row major order
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1
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4, 159, 7445, 381958, 19490790, 996536552, 50933680120, 2603456557653, 133072628448179, 6801873967993408, 347670725973943044, 17770830778194675356, 908337669425005770376, 46428742540607711341143
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 45*a(n-1) +360*a(n-2) -2443*a(n-3) +752*a(n-4) +1861*a(n-5) +17330*a(n-6) +3931*a(n-7) -55696*a(n-8) -6621*a(n-9) +28764*a(n-10) -5265*a(n-11) -9477*a(n-12) +1080*a(n-13) +1080*a(n-14)
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EXAMPLE
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Some solutions for n=5
..0..0..1....0..0..1....0..0..1....0..0..1....0..1..0....0..1..1....0..0..1
..0..2..0....0..1..0....1..2..1....2..0..2....1..0..0....2..1..1....2..0..3
..3..1..1....2..2..1....1..3..2....2..1..1....0..1..1....0..2..0....3..1..1
..2..0..2....1..3..2....0..3..3....0..1..1....1..0..2....3..0..0....0..1..2
..0..1..0....0..1..0....0..1..3....2..2..3....3..0..1....2..1..1....1..2..0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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