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A241372
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Number of 3 X n 0..2 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order.
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1
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5, 47, 460, 4617, 46245, 463567, 4646421, 46573979, 466838093, 4679401043, 46904463629, 470151838595, 4712616517773, 47237408834627, 473489150832621, 4746068456910627, 47572717892835405, 476850156780960707
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OFFSET
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1,1
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LINKS
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FORMULA
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Empirical: a(n) = 9*a(n-1) + 16*a(n-2) - 50*a(n-3) - 72*a(n-4) - 32*a(n-5) - 32*a(n-6) for n>8.
Empirical g.f.: x*(5 + 2*x - 43*x^2 - 25*x^3 + 42*x^4 + 34*x^5 + 32*x^6 + 16*x^7) / (1 - 9*x - 16*x^2 + 50*x^3 + 72*x^4 + 32*x^5 + 32*x^6). - Colin Barker, Oct 30 2018
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EXAMPLE
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Some solutions for n=4:
..0..1..0..2....0..1..0..0....0..1..2..0....0..1..0..2....0..1..1..2
..2..1..1..2....1..2..0..0....0..1..0..1....0..0..1..2....0..1..1..2
..2..1..1..0....2..0..1..2....1..2..0..2....2..0..1..2....2..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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